Design, Fabrication, and Characterization of a MEMS Steam-Generating Device Based on the Decomposition of High-Test Hydrogen Peroxide by FERAS EID Master of Science in Mechanical Engineering Massachusetts Institute of Technology, 2006 ] MASSACHUSETTS INS IUTE OFTECHNOLOG I SEP 0 12010 LIBRARIE, Bachelor of Engineering in Mechanical Engineering American University of Beirut, 2004 ARCHIVES Submitted to the Department of Mechanical Engineering in Partial Fulfillment of the Requirements for the Degree of DOCTOR OF PHILOSOPHY IN MECHANICAL ENGINEERING at the Massachusetts Institute of Technology June 2010 © 2010 Massachusetts Institute of Technology All rights reserved A Sign atu re of Au th or ............................................................................................................ ........................ Department of Mechanical Engineering May 19, 2010 Certified by .................................................................... Carol Livermore Associate Professor of Mechanical Engineering Thesis Supervisor Accepted by ............................................................... David Hardt Chairman, Department Committee on Graduate Students 2 Design, Fabrication, and Characterization of a MEMS Steam-Generating Device Based on the Decomposition of High-Test Hydrogen Peroxide by Feras Eid Submitted to the Department of Mechanical Engineering on May 19, 2010 in Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy in Mechanical Engineering Abstract Microscale ejector pumps offer the potential for high flow rate pumping of gases, a functionality that is greatly needed in MEMS technology. These pumps have many additional characteristics, such as their simplicity of design and their lack of moving parts, which favor them over other state-of-the-art MEMS gas pumps. One of the challenges associated with driving ejector pumps, however, is providing a compact source of motive fluid. This fluid is the high-speed gas that drives the pumping action. The current thesis presents a MEMS device capable of generating steam at speeds suitable for driving an ejector pump in a compact fashion. To that end, the device utilizes the homogeneous catalytic decomposition of hydrogen peroxide. Analysis shows that a MEMS ejector pump driven by this device is capable of handling mass flow rates per unit pump volume on the order of 10-2 g/s/cm 3, which are two orders of magnitude higher than those of state-of-theart MEMS gas pumps. In addition to pumping, the steam generator may also be used for microrocket thrust generation in micropropulsion applications. In this thesis, the design, fabrication, testing, and successful demonstration of the MEMS steam generator are presented. The device consists of a mixing section for the peroxide and catalyst streams, a reactor section where the peroxide decomposes, and finally a nozzle section where the gaseous products of the decomposition are accelerated to the required velocities. To design the device, multidomain (chemical, thermal, and fluidic) numerically-implemented modeling is used to study the underlying physics and arrive at an optimized, microfabricatable design. The modeling takes into account the key challenges of thermal management, achieving fast mixing, and boundary layer compensation. The device is then fabricated from a stack of four silicon wafers and one Pyrex wafer using deep reactive ion etching and wafer bonding. The modeling also guides the design of a micabased ceramic package which provides both thermal insulation and piping ports. The system is then experimentally tested using high-test hydrogen peroxide and ferrous chloride tetrahydrate solution as the catalyst. The overall initial peroxide mass fraction is varied between 83% and 71%. The device is characterized using temperature measurements, refractive index analysis, and visual inspection during operation. Successful performance is demonstrated via the full decomposition of the peroxide and the complete vaporization of the water produced. The experimental results are also compared with those from the simulation. Good agreement is observed between experiment and theory, providing comprehensive model verification. The realization and demonstration of this steam generator promise significant enhancements in MEMS technology, particularly in the fields of gas pumping and micropropulsion. Thesis Supervisor: Carol Livermore Title: Associate Professor, Mechanical Engineering Acknowledgements I feel very lucky for having had such an enjoyable and rewarding PhD experience. I owe a lot of that to the support of my family and friends, but also to the good fortune of being part of an amazing research group ever since I joined MIT. My supervisor, Prof. Carol Livermore, has been a great mentor and friend. I cannot thank her enough for her continuous support and guidance, for always being available to discuss any questions or concerns I had, and for her constant cheerfulness and understanding, which can make a world of difference in a student's graduate school experience. My labmates have also been an integral part of this experience. Thank you Frances, Gunjan, Nader, Lei, Aalap, and Eric for all the fun outings, get-togethers, and surprise birthday parties. I will definitely miss those times! Thanks in particular to my officemates Frances, Gunjan, and Lei for all the conversations and laughs, and for their willingness to listen to my rants when the research was facing some obstacles. I also thank Dr. Luis Fernando Veldsquez-Garcia for the immense technical help he provided during the different stages of the project. One aspect of this work that I particularly pride myself on is that the very first generation of devices that I fabricated worked as expected. This is largely due to Luis's helpful suggestions and willingness to answer my numerous questions, especially during the fabrication stage. I also thank my committee members, Prof. Jeffrey Lang and Prof. Evelyn Wang, for their helpful ideas during our meetings. My thanks also extend to our administrative assistant Natalie Weaver for her help in ordering parts that I needed for the project, to the MTL staff for fab training and consultations, to Kimberlee Collins for her CFD simulation of the mixer, to Frances Hill for her help in taking the SEM image, to Tyrone Hill for showing me the components of his test setup, and to Daniel Herrick, Andrew Kalil, and Steven Yuan for their help in ensuring safety during experiments. The project was financially supported by Prof. Livermore, the Mechanical Engineering Department at MIT (through teaching assistantships), and partially by DARPA, MDA, and AFRL. I'd also like to acknowledge some friends outside MIT who have made my life during this period much more enjoyable: Joe, Amal, Lama, and Mounir, who have become my "home away from home," Siddarth for being a great roommate, friend, and movie companion, Levi for memorable gatherings and Thanksgiving dinners, and Andrew for many interesting conversations and for his help when I was changing apartments. Finally, I'd like to acknowledge my parents, sister, two brothers, and my siblings' families, for their continuous moral support during all this time that I've spent abroad. Our phone conversations and my summer visits to Lebanon have been my constant source of recharging for the demanding PhD work. I look forward to seeing you all again soon! Table of Contents 1 INTRODUCTION 1.1 Overview 14 1.2 Literature Review of MEMS Pumps 15 1.3 Ejector Pumps 18 1.3.1 1.3.2 1.3.3 1.3.4 Overview ..................................................................................................................................................... Operating principle ...................................................................................................................................... M acroscale characteristics and applications.......................................................................................... M icroscale ejector pum ps ........................................................................................................................... 1.4 Steam Generation from the Decomposition of High-Test Hydrogen Peroxide 1.4.1 Overview and advantages ........................................................................................................................... 1.4.2 Other examples and applications of high-test hydrogen peroxide decomposition............................... 2 14 18 18 19 20 23 23 25 1.5 Thesis Roadmap 28 MODELING AND DESIGN 31 2.1 Background and Challenges 31 2.2 Conceptual Design 34 2.3 Mixer Design 36 2.3.1 M ixer overview ............................................................................................................................ .......... 36 2.3.2 M icrom ixing literature review ....................................................................................... ............................ 37 2.3.3 M ixer modeling and design ..................................................................................................................... 39 2.3.4 CFD sim ulation of the mixer ...................................................................................................................... 42 2.4 Reactor 42 2.4.1 Reactor overview ......................................................................................................................... 42 2.4.2 Reactor modeling and design ............................................................... .................................................... 43 2.5 Nozzle 53 2.5.1 Nozzle overview ................ ...................................... .......... 53 2.5.2 Nozzle modeling and design........................................................................................................................53 2.6 Parametric Study 59 2.7 Overall Design 65 2.8 Thermal Management 2.9 Analysis of an Ejector Pump Based on the Current Work. 3 FABRICATION 72 79 3.1 Overview 3.2 Wafer-Level Die Layout 3.3 Alignment Marks 3.4 Layer 1 3.5 Layer 3 3.6 Layers 2 and 4 3.7 Wafer Bonding 4 TEST RIG SETUP 100 4.1 Overview 100 4.2 Hydrogen Peroxide and Safety 100 4.3 Package 103 4.4 Test Rig Components 108 4.5 Component Passivation_ 112 5 TESTING 114 5.1 Overview 114 5.2 Experiments with Mixer-Testing Devices 114 5.3 Experiments with Nominally-Designed Devices 116 5.3.1 Experimental conditions..........................................................................................................................116 5.3.2 Visual inspection .................................................................................................. 117 5.3.3 Refractive index analysis ........................................................................................................................... 120 5.3.4 Device wall temperature measurements .................................................................................................. 123 5.3.5 Effluent temperature measurements ....................................................................................................... 125 5.3.6 Summary of the implications of the experimental results........................................................................130 6 CONCLUSIONS 131 6.1 Summary and Important Findings 131 6.2 Challenges and Future Improvements 134 6.3 Design Modifications for Future Applications 138 6.4 Concluding Remarks 140 APPENDIX A: Detailed Process Flow 141 APPENDIX B: Practices Followed For Successful Wafer Bonding 145 REFERENCES 147 List of Figures Figure 1.1. Schem atic of an ejector pum p ............................................................................ 19 Figure 2.1. Conceptual design ............................................................................................... 35 Figure 2.2. Schematic of a mixer with dimensions ............................................................. 40 Figure 2.3. Differential reactor elem ent .............................................................................. 48 Figure 2.4. Plot of the flow temperature along the reactor length for the design conditions, with inserts magnifying the vaporization stages................................................................... 52 Figure 2.5. Plot of the species' mass fractions along the reactor length for the design conditions, with an insert magnifying the region near the reactor inlet............................ 52 Figure 2.6. Schematic of the nozzle showing the known quantities at different locations... 54 Figure 2.7. Differential nozzle elem ent.................................................................................. 56 Figure 2.8. Nozzle width profile before and after boundary layer compensation with insert show ing the throat region ..................................................................................................... 58 Figure 2.9. Plot of static and stagnation pressures along the nozzle for the design conditions ....................................................................................................................................................... 59 Figure 2.10. Plot of the Mach number along the nozzle for the design conditions............ 59 Figure 2.11. Plot of peroxide mass fraction at the reactor exit versus initial peroxide mass fra ctio n ......................................................................................................................................... 60 Figure 2.12. Plot of static and stagnation temperatures at nozzle exit versus initial peroxide m ass fractio n ................................................................................................................................ 61 Figure 2.13. Energy balance on the entire reactor ............................................................. 61 Figure 2.14. Plot of reactor pressure versus initial peroxide mass fraction ...................... 64 Figure 2.15. 3D m odel of entire device................................................................................. 65 Figure 2.16. Schematic of a cross-section of the device at distance x along the flow direction, illustrating the dominant heat transfer mechanisms for the configuration in which the device is encased inside a package ........................................................................................ 68 10 Figure 2.17. Thermal network between device and environment at steady state ............ 68 Figure 2.18. Package design .................................................................................................. 71 Figure 2.19. O-ring gland design. Dimensions and tolerances are in mm. ......................... 71 Figure 2.20. Schematic for ejector pump analysis................................................................ 73 Figure 3.1. Schematic section-view of a microfabricated device ........................................ 80 Figure 3.2. Process flow summary for transferring the alignment marks ......................... 83 Figure 3.3. "Alignm ent Marks" m ask ................................................................................... 84 Figure 3.4. Rotated die-level zoom of the mask "Alignment Marks" .................................. 84 Figure 3.5. Zoorns of the wafer-bonding and the top-bottom alignment marks................ 85 Figure 3.6. Process flow sum mary for Layer 1 .................................................................... 86 Figure 3.7. "Holes" mask with insert showing the complementary top-bottom alignment fe a ture s......................................................................................................................................... 87 Figure 3.8. Rotated die-level zoom of the mask "Holes"...................................................... 88 Figure 3.9. Process flow summary for Layer 3 .................................................................... 89 Figure 3.10. "Deep Features" m ask...................................................................................... 90 Figure 3.11. Rotated die-level zoom of the mask "Deep Features"..................................... 90 Figure 3.12. Process flow summary for Layers 2 and 4 (continued on next page)............ 92 Figure 3.13. "All Features" m ask........................................................................................... 94 Figure 3.14. Rotated die-level zoom of the mask "All Features"......................... 94 Figure 3.15. Schematic of the fusion bonding process ......................................................... 96 Figure 3.16. Schematic of the anodic bonding step ............................................................. 97 Figure 3.17. Photograph of a microfabricated device with the nominal design................ 98 Figure 3.18. Photograph of a microfabricated mixer-testing device having an extra outlet port in the bottom for fluid discharge, which in the fully-functional devices occurs through th e n ozzle ..................................................................................................................................... 98 11 Figure 3.19. SEM image of the mixers in cross-sectional view, with an insert magnifying one m ixer and show ing a wall protrusion.................................................................................... 99 Figure 4.1. Peroxide storage in lab .......................................................................................... 102 Figure 4.2. Safety gear............................................................................................................... 102 Figure 4.3. Machined package made of Rescor 914 ............................................................... 105 Figure 4.4. Modified package bottom half for facilitating thermocouple insertion............. 106 Figure 4.5. Schematic explaining the difference in the thermocouple insertion methods between the original and modified designs of the bottom half of the package ................... 107 Figure 4.6. Modified package bottom half for usage with the mixer-testing devices....... 108 Figure 4.7. Schem atic of test rig setup..................................................................................... 110 Figure 4.8. Assem bled package, fittings, and tubing .............................................................. 111 Figure 4.9. Photograph of the test rig highlighting the main components........................... 111 Figure 5.1. Frame-grabs of the device during experiment 1 showing the effluent in the different stages: (a) startup, (b) intermediate transient period, and (c) steady state ....... 119 Figure 5.2. Procedure used to perform the refracive index analysis on the effluent ....... 122 Figure 5.3. Plot of the peroxide mass fraction at the reactor exit (from the simulation) and at the nozzle exit (from experiments 1 and 2) versus initial peroxide mass fraction.............. 122 Figure 5.4. Plot of the silicon wall temperature from the simulation and the experiments versus initial peroxide mass fraction ...................................................................................... 124 Figure 6.1. Schematic of proposed modified setup with compressed air line for purging the device after experim ents .......................................................................................................... 136 Figure 6.2. Photograph of the cracked bottom half of the package....................................... 137 Figure 6.3. Modified design for the bottom half of the package, which allows the use of a m aterial with higher therm al conductivity............................................................................. 137 List of Tables Table 1.1. Comparison of the specifications of some MEMS gas pumps in the literature with those of an ejector pump based on the current work ........................................................ 21 Table 2.1. Phases of H20 and H20 2 during the five reactor stages ...................................... 44 Table 2.2. Variation of state variables during the different reactor stages........................ 46 Table 2.3. Ejector pum p param eters ..................................................................................... 78 Table 4.1. Comparison of the required package properties and those of Rescor 914 ........ 104 Table 5.1. Conditions during the peroxide experiments on nominally-designed devices.. 117 Table 5.2. Recovery factors, predicted adiabatic wall temperatures, and measured effluent tem peratures for the three experim ents................................................................................. 129 CHAPTER ONE 1 INTRODUCTION 1.1 Overview The past two decades have witnessed a marked increase in the interest in microelectro-mechanical systems (MEMS), both at the commercial and research levels. Accelerometers, pressure transducers, inkjet printer cartridges, chemical and flow sensors, and lab-on-chip devices for point-of-care medical testing are only a few examples of systems that have been enabled or strongly improved by MEMS technology [1]. This technology broadly refers to a wide range of fabrication methods that allow the massproduction of small-scale systems and components. Some of those fabrication methods include photolithography, physical and chemical material deposition, wet and dry etching for material removal, doping, chip and wafer bonding, and soft lithography (imprinting). Some of the materials used include silicon and its oxides and nitrides, Pyrex, and various metals and polymers. Apart from reducing the manufacturing costs due to mass production, MEMS technology exploits some scaling benefits that allow physics-dictated improvements in the operation of many systems upon downscaling. This technology can have a significant impact on many fields such as the automotive industry, the electrical appliance market, biotechnology, and healthcare. The potential impact has sparked a strong interest in, and funding of, MEMS research by many agencies to further develop this technology. A significant portion of the current MEMS research is centered on developing integrated systems having many components that work in tandem. For example, some Chapter 1. Introduction components of a MEMS power converter may include a combustor, a generator, and various pumps and valves. In many cases, an individual component with a specific function is often required by different systems that perform different tasks. Because of this overlap, small-scale devices are sought that can deliver certain functionalities currently lacking in the MEMS field. One of those much-needed functionalities is the pumping of gases at high flow rates. 1.2 Literature Review of MEMS Pumps The majority of MEMS pumps that have been designed and/or demonstrated so far handle liquids, not gases [2]. Liquid pumping finds many applications in the MEMS field, such as fuel and propellant supply in microcombustors, microthrusters, and microengines [3], diagnostic sampling of bodily fluids [1], drug delivery [1], and water management in fuel cells [4]. Many MEMS liquid pumps have been reported in the literature. Some examples include turbopumps [1], elastomeric fluid pumps [5], electro-osmotic fluid pumps [6, 7], and a variety of reciprocating displacement pumps [8-13]. Gas pumping, on the other hand, has not received as much attention in MEMS research. Most MEMS gas pumps that have been demonstrated so far fall into one of two categories: displacement pumps or Knudsen pumps. Both of these kinds of pumps are discussed below. There are also pumps that utilize the entrapment and adsorption of gas particles, such as ion pumps. These pumps, however, consume the gas and are only good for vacuum generation, not for other pumping applications. addressed here. Such pumps will not be Chapter 1. Introduction Displacement pumps operate by exerting pressure on the working fluid in a periodic manner by means of a moving boundary [2]. In microscale pumps, this boundary is usually a deformable plate or diaphragm with fixed edges, as opposed to a piston in macroscale displacement pumps. The basic components of a displacement pump are the diaphragmbounded pump chamber, inlet and outlet check or actively actuated valves, and an actuation mechanism. During operation, the externally-powered actuator displaces the diaphragm, causing the chamber to periodically expand and contract. Fluid is sucked into the chamber during expansion and then pushed out during contraction. The valves are oriented (in the case of check valves) or actuated in a way to favor suction at the chamber inlet and discharge at the outlet. Different diaphragm and valve actuation mechanisms have been reported and/or proposed for MEMS displacement gas pumps, including thermopneumatic [14], piezoelectric [15], electromagnetic [16], and electrostatic [17] actuation. Knudsen pumps operate based on the principle of thermal transpiration of rarefied gases [18]. When two gas chambers are connected by a tube with a characteristic dimension much smaller than (one tenth or less of) the mean free path of the gas, free molecular flow exists. In this flow regime, the gas pressure and temperature ratios between the two chambers are directly related, and this conclusion can be derived by balancing the equilibrium molecular fluxes. As a result, varying the temperature between the two chambers leads to a pressure differential which can be exploited for pumping. Knudsen pumps are usually cascades of multiple, individually heated stages. Each stage has a capillary section in which the gas is rarefied, and a connector section with larger Chapter 1. Introduction dimensions in which the flow approaches the continuum regime. A temperature increase is imposed on the capillary section to produce a rise in the gas pressure by virtue of thermal transpiration. The temperature is then reduced to its initial value in the connector section, in which gas rarefaction is prevented due to the larger dimensions of this section. Due to the absence of thermal transpiration in this section, the pressure drop is smaller in magnitude than the pressure rise in the capillary section. This causes the gas to flow across a net pressure increase in each stage, producing pumping action. Various micropumps based on this operating principle have been reported in the literature [19-22]. Both kinds of gas pumps above suffer from certain disadvantages. The moving parts in a displacement pump diminish its robustness and shorten its lifespan. Some moving parts also require lubricants, which limit the use of these pumps in vacuum applications. Since these pumps require many parts (actuator, valves, and chamber), their fabrication can be challenging and dead volume can be an issue. Knudsen pumps do not contain any moving parts, but they have other problems, such as their inefficient use of energy [18]. In addition, Knudsen pumps' upper and lower pressures are usually limited, because the mean free path of the gas has to be kept well above the dimensions of the capillary sections and well below the dimensions of the connector sections for effective pumping. As the pressure is reduced, the mean free path increases, and vice versa. In many cases, extending each pressure limit separately requires functionalization and treatment of the pump's internal surfaces. Increasing both limits simultaneously is usually challenging if possible at all [18, 21]. For example, McNamara et al. [22] created a MEMS Knudsen pump for evacuating a small cavity in a micromachined structure. The pump discharged into the Chapter 1. Introduction atmosphere, but the lowest pressure it was capable of creating in the cavity was 0.46 atm, which is very high even for rough vacuum applications. Moreover, displacement and Knudsen pumps have two major shortcomings in common: both require external power sources for operation (to drive the actuator of a displacement pump and to heat the capillary section of a Knudsen pump), which increase the overall pump size, and both have low pumping capacities. 1.3 Ejector Pumps 1.3.1 Overview Microscale ejector pumps offer a promising solution to the high flow rate gas pumping requirement of many MEMS systems. Moreover, these pumps do not have the drawbacks and limitations of the displacement and Knudsen pumps that were discussed earlier. 1.3.2 Operating principle The operation of an ejector pump is illustrated schematically in Figure 1.1. The purpose of the system is to pump a fluid, referred to as the suction fluid, from a low pressure Pio to a high pressure Phigh. To achieve this action, the pump mixes the suction fluid with a high-speed stream referred to as the motive fluid. The motive fluid is accelerated to a high speed before mixing to produce a low static pressure in the mixing region. The low pressure causes the entrainment of the suction fluid. The mixing results in momentum exchange: the suction fluid is accelerated and the motive fluid is slowed down until both are moving at a common velocity. The combined flow is then slowed down by .... .... .... .... : :: .: -::-...I_ ::: - Rer '- Z- .._ .. _-qRR .. - 1. .. ..:. . ... .- - _ ..::.,:..:::::::.: .... ....... :.,7 u : ':: .." Chapter 1. Introduction passing it through a de Laval nozzle. The nozzle allows pressure recovery by converting part of the kinetic energy of the combined flow into pressure rise. As a result, the flow exits at a pressure Phigh that is higher than Pion. Suction fluid at pressure Plow de Laval nozzle Combined flow at pressure Phigh> low Figure 1.1. Schematic of an ejector pump 1.3.3 Macroscale characteristics and applications Macroscale ejector pumps have been used historically for many purposes. Sample applications include the mixing and compression of gases to obtain fuels with specific heating values in petrochemical refineries, steam recirculation/recompression in the evaporators of power plants and chemical and food processing systems, condensate removal in heat exchangers, vacuum refrigeration and processing, and effluent pumping in chemical lasers [23-25]. These pumps are attractive because they contain no moving parts and require very little maintenance. They can operate at high efficiencies, and have been used at the macroscale to produce a wide range of pressures, from high vacuum to aboveatmospheric [23]. Chapter 1. Introduction 1.3.4 Microscale ejector pumps Microscale ejectors offer the same benefits of robust simplicity and no moving parts as large-scale ejectors, plus one scale-dependent benefit. For a suction fluid at given stagnation conditions, the mass flow rate that can be pumped through an ejector is, to first order, proportional to the nozzle's throat area. The weight of the device, on the other hand, scales with its volume. If a macroscale ejector is miniaturized while retaining the proportions between its dimensions, the ratio of the pumping capacity to the system weight scales inversely with length: pumping capacity nozzle area 1 system weight volume length Downscaling an ejector pump therefore allows for higher pumping capacity per unit system weight. This is true as long as the system is not scaled down to the point at which the thickness of boundary layers becomes comparable to the internal dimensions of the pump. At that point, the boundary layers can cause significant reductions in mass flow rate compared to the design value. In microscale ejector pumps, the simplicity of design (e.g., no need for valves) and the robustness due to the absence of moving parts and fatigue-inducing mechanical cycling are significant advantages over displacement pumps. The potential for efficient operation and wider pressure ranges favor ejectors over Knudsen pumps. Most importantly, microscale ejector pumps are capable of handling higher mass flow rates per unit pump volume than both displacement and Knudsen pumps, while achieving moderately high pressure ratios. Multiple stages can be used to reach higher vacuum levels if desired. Table 1.1 compares the performance of some MEMS gas pumps in the literature, in terms of 20 Chapter 1. Introduction pressure ratio and pumping capacity per device volume, to that of an ejector pump based on the current work. The ejector pump specifications that are listed in the last row of this table are derived in the analysis presented in Section 2.9. Table 1.1. Comparison of the specifications of some MEMS gas pumps in the literature with those of an ejector pump based on the current work Maximum gas flow rate (g/s/cm 3 of pump volume) Maximum pressure ratio Research group Pump type Schomburg et aL [14] Thermopneumatic displacement pump 10 1:1.05 Kamper et aL [15] Piezoelectric displacement pump 10-4 1:2.8 Bohm et aL [16] Electromagnetic displacement pump 10 McNamara et aL [22] Knudsen pump 1:2 Our group Ejector pump (predicted) based on current work 1:10 per stage -7 -7 1:1.14 MEMS ejector pumps can thus potentially open up a wide range of opportunities for MEMS applications if properly designed and demonstrated. Examples of these applications include fuel and air feeds in microcombustors for power generation, and vacuum maintenance in certain MEMS systems such as gas chromatographs. Another important application is in pumping out the effluent of microscale chemical oxygen iodine laser systems, as discussed in Section 1.4.1. Chapter 1. Introduction Very few microscale ejector pumps have been demonstrated so far. One challenge in designing these pumps is providing a compact source for the motive fluid. Doms et al. [26] and Chuech et al. [27] reported bulk-micromachined ejectors that were fabricated by processing and bonding silicon and Pyrex wafers. The pump by Doms was tested with two motive fluids: compressed nitrogen gas, and water vapor that was obtained by heating liquid water outside the device. Chuech's pump was driven using air as the motive fluid. Fan et al [28] reported an electro-discharge machined miniaturized stainless steel pump with microscale features that used compressed air as the motive fluid. All of these pumps were capable of achieving suction flow rates in the range 10-?-10-s kg/s, which are relatively high compared to other MEMS gas pumps [2]. There are disadvantages, however, associated with the motive fluids that were used to drive the reported ejector pumps. Because of their low densities, gases such as air and nitrogen require large storage volumes. This poses challenges for keeping the pump compact, especially in portable systems. With pumps utilizing water vapor, more compact storage reservoirs are possible if liquid water is stored inside the system and later vaporized during operation. This approach, however, suffers from two significant drawbacks. One is the need for an external power source to vaporize the water, which increases the size of the system. The second is the integration of a vaporizing mechanism (such as an electric heater) into the system, which can complicate the design and the fabrication process. One approach that eliminates the needs for both large gas-storage reservoirs and external power sources for liquid vaporization is the chemical generation of high-speed gases from liquid reactants, usually via exothermic decomposition. For example, liquid Chapter 1. Introduction hydrazine (N2H 4) decomposes catalytically to produce ammonia, nitrogen, and hydrogen gases at elevated temperatures. This decomposition has been widely employed in propulsion applications to control and adjust the attitude of spacecraft, usually using an iridium-alumina catalyst [29]. The gaseous products of the decomposition can be used, in principle, to drive an ejector pump. Hydrazine's extreme toxicity and instability, however, would pose serious safety and health challenges if this approach were implemented in practice to generate the pump's motive fluid [30]. Storage is also a challenge because hydrazine reacts with atmospheric carbon dioxide to produce corrosive compounds [31]. Other concerns are the toxicity and polluting capabilities of the generated ammonia [32, 33]. These problems translate into significant increases in costs for such systems [34]. 1.4 Steam Generation from the Decomposition of High-Test Hydrogen Peroxide 1.4.1 Overview and advantages Another chemical reaction that allows the generation of a high-speed gas mixture from a liquid precursor is the catalytic decomposition of high-test hydrogen peroxide, or HTP. HTP refers to water-diluted hydrogen peroxide mixtures in which the peroxide mass fraction is generally greater than about 70%. Hydrogen peroxide decomposes catalytically to produce water, oxygen gas, and heat, according to the reaction: 1 2 H202 -+H20 +-02 + heat (1.2) Chapter 1. Introduction When the initial peroxide concentration in a peroxide-water mixture is greater than about 67%, the energy released by the above decomposition in an adiabatic container originally at room temperature is enough to vaporize all the liquid water present or produced. As a result, a high-temperature mixture consisting predominantly of steam (and containing some oxygen gas) can be generated. The mixture can then be passed through a nozzle to convert some of its thermal energy to kinetic energy. This method can be used to produce a high-speed flow suitable for driving an ejector pump. The above approach offers the same benefits as using hydrazine, namely allowing a compact container and not requiring any external power sources for vaporization, with some advantageous differences. Unlike hydrazine, hydrogen peroxide is a nontoxic, or "green", substance [31]. Despite posing some health hazards which are discussed in Section 4.2, hydrogen peroxide's low vapor pressure (1.95 mm Hg at room temperature [35]) prevents HTP mixture fumes from easily entering the human body. Exposure to peroxide vapors emanating from an open HTP container at room temperature in a reasonably ventilated area is not lethal to humans [31]. Also, hydrogen peroxide does not react with the atmosphere, and can be stored for long periods of time in properly-designed containers. The decomposition of peroxide according to (1.2) produces nontoxic, environmentally-friendly products. All these features allow for increased safety and cost reduction in peroxide systems compared to others that use more hazardous substances [36]. Concentrated hydrogen peroxide has been used in many large-scale systems to generate steam for driving ejector pumps. One such system is the Thiokol Hyprox, which Chapter 1. Introduction was successfully installed and used in many facilities to generate vacuum for rocket testing [31]. A very promising potential application of an ejector pump that uses this approach at the microscale is the aspiration of a micro-chemical oxygen iodine laser (pCOIL) system as proposed by Wilhite et al. [37]. In this flowing-gas system, a 1.315 pIm wavelength laser output is produced from the stimulated emission of excited atomic iodine, which is obtained from the reaction of molecular iodine with singlet oxygen. The singlet oxygen is generated from the multiphase reaction of basic hydrogen peroxide (a mixture of H202 and KOH) and chlorine gas [38]. After laser emission, the low-pressure flow gas must be discharged to the atmosphere to maintain stable operation. Since hydrogen peroxide is already utilized in this application to generate the singlet oxygen, employing the above ejector approach to pump out the flow gas is very desirable since it allows for a limitedinput portable p.COIL system. 1.4.2 Other examples and applications of high-test hydrogen peroxide decomposition Historically, highly-concentrated hydrogen peroxide has found its most widespread use in propulsion applications [31]. HTP can be used as either a monopropellant or bipropellant for rocket, torpedo, and submarine engines. As a monopropellant, hydrogen peroxide is decomposed catalytically to produce a high-energy mixture of steam and oxygen gas. This approach is very similar to that outlined in Section 1.4.1 for generating a motive fluid for an ejector pump. The main difference is that in propulsion, the high-speed exhaust mixture is used for thrust generation, whereas in an ejector the mixture is utilized for momentum exchange. As a bipropellant, the peroxide is used as an oxidizer, in 25 Chapter 1. Introduction conjunction with a fuel such as kerosene. The peroxide decomposes, either under the action of a catalyst, or upon contact with the fuel itself, i.e. hypergolically, to produce oxygen which causes the fuel to combust. The exhaust gases from the combustion are then accelerated to provide thrust. The first propulsion application of hydrogen peroxide dates back to 1933 Germany, when Hellmuth Walter proposed using HTP mixtures at 80%-82% concentrations as submarine monopropellants [31]. In the following years and during the World War II era, the use of hydrogen peroxide expanded to include the propulsion of torpedoes and rocketassist devices for military aircraft. After the war, the technology moved from Germany to the UK, USA, and USSR, and hydrogen peroxide received a great deal of interest. Some famous applications included reaction control systems' thrusters (such as the X-1 and X-15 systems) that used peroxide as a monopropellant, and rocket engines (such as Black Knight-Black Arrow, the AR engine series, and LR-40) that used peroxide as a bipropellant oxidizer. This interest peaked during the 1950's and 1960's. Following this period, peroxide was gradually displaced by chemicals with enhanced performance, such as hydrazine in monopropellant applications and liquid oxygen and nitrogen tetroxide in bipropellant applications. Ever since the 1990's, however, peroxide has seen a renewed interest because of its previously-discussed advantages, such as its minimal environmental impact, non-toxicity, and relative ease of handling. Many labs, agencies, and companies are currently conducting heavy research on hydrogen peroxide-related systems. Examples of these organizations include Lawrence Livermore National Laboratories, NASA, Rocketdyne, Beal Aerospace, and Orbital Sciences Corporation [31]. Chapter 1. Introduction Another important historical use of HTP has been as a gas generator for turbopumps [31]. Peroxide is attractive for this application since the amount of water in HTP mixtures can be controlled to produce decomposition temperatures below the operational limits of the uncooled blades. One of the most famous systems that used a peroxide-driven turbopump was the V-2 rocket which was developed toward the end of World War II in Germany. One interesting naturally-occurring system which uses peroxide as an oxidizer and gas generator is the bombardier beetle [39]. As a defense mechanism, this beetle emits a jet of noxious, boiling chemical spray that can be fatal to insects and small creatures. The active components of this spray are benzoquinones produced from the oxidation of hydroquinone by hydrogen peroxide. The beetle has two separate glands that enable this mechanism: a large "reservoir" containing an aqueous hydrogen peroxide mixture (25% peroxide by mass) and hydroquinone, and a smaller "reaction chamber" containing enzymes such as catalase and peroxidase. When threatened, the beetle opens a musclecontrolled valve that forces the reservoir contents into the reaction chamber. The enzymes catalyze the peroxide decomposition and the subsequent oxidation of the hydroquinone by the generated oxygen gas. Both the decomposition and oxidation reactions are exothermic. These reactions release enough heat to bring the mixture in the chamber to near its boiling point, vaporizing about one fifth of it. Under the pressure of the vaporized gas and the remaining (unused) oxygen from the peroxide decomposition, the mixture is expelled explosively to the atmosphere through tips in the beetle's abdomen. The pressure causes the entrance valve to close during this process, thereby protecting the insect's internal Chapter 1. Introduction organs. The defensive spray is ejected cyclically at about 500 pulses per second, and is accompanied by audible "pop" sounds. 1.5 Thesis Roadmap This thesis presents a MEMS device that generates steam (and oxygen gas) from the catalytic decomposition of hydrogen peroxide. The device's effluent can be used to drive a MEMS ejector pump. The different stages involved in developing the device are discussed, including the modeling, design, fabrication, and testing. In this chapter, the need for high flow rate MEMS gas pumping was discussed, and ejector pumps were presented as an attractive option capable of delivering this functionality. After describing the operation of these devices and comparing their performance with other state-of-the-art pumps, the advantages of using hydrogen peroxide to generate steam for driving ejectors were discussed. The chapter concluded with a discussion of other examples in which the decomposition of high-test peroxide is utilized, in industrial and military applications and even in nature. Chapter 2 describes the design of the steam generator. After a discussion of the challenges involved in designing this device, the conceptual design is presented along with ways to counter those challenges. Detailed numerically-implemented physical models are then developed to simulate the conditions in each of the different sections of the device. The modeling results are used to design those sections. In addition, a thermal model is developed to manage heat losses from the device, and it guides the design both of the device and of a thermally-insulating package. The chapter also presents a parametric study that was developed to examine the device operation under a range of conditions. The 28 Chapter 1. Introduction chapter concludes with an analysis of an ejector pump based on the current device. This analysis quantifies the proposed pump's improved performance over the state of the art. Chapter 3 describes the fabrication of the device. The wafer-level die layout is first discussed, along with the functions of the different die variations. The process flow of each device layer is then presented, including cross sections of the layers after the main processing steps, and the masks that were use for photolithography. The wafer bonding process is then described. The chapter concludes with photographs of two diesawed devices and cross-sectional SEM images. Chapter 4 describes the task of setting up the test rig for experiments. The safety concerns that accompany the use and storage of hydrogen peroxide are first discussed. The machined package is then presented, and its material properties and design variations are discussed. This discussion is accompanied by photographs of the original package and its variations. The test rig components and overall setup are then described and displayed. The chapter concludes with a discussion of the technique used to passivate those components in order to make them ready for peroxide use. Chapter 5 describes the experimental work. It starts with a brief discussion of the experiments that were carried out using the mixer devices. The experiments on the nominal devices are then presented. The operating conditions and the different characterization methods, including visual inspection, refractometry, and temperature measurements are described. The experimental results are then presented and used to demonstrate successful operation. These findings are also compared with the modeling results of Chapter 2 to provide comprehensive model verification. Chapter 1. Introduction Chapter 6 summarizes the presented research. Some of the challenges that were encountered during the experiments are then described, and ways of alleviating those challenges for improving future tests are suggested. The chapter concludes with a discussion of some design modifications that will enable future use of the device in MEMS pumping and micropropulsion applications. CHAPTER TWO 2 MODELING AND DESIGN 2.1 Background and Challenges Despite the many advantages of using hydrogen peroxide for steam generation, a number of challenges exist, including the choice of catalyst, thermal management, boundary layer effects, and safety considerations. For devices that generate steam via this approach, thermal management and boundary layers are more important at the microscale than at the macroscale. The type of catalyst used can greatly affect the success of the peroxide decomposition process. Typically, heterogeneous catalysts have been used in macroscale decomposition devices [40-42]. These catalysts are usually solid materials such as silver or manganese oxide. They are placed inside macroscale devices as meshed layers or pellet beds, and inside microscale devices as channel wall coatings. Such static catalyst layers, however, have a limited lifespan due to surface ablation upon repeated use [43]. The lifetime of silver catalyst, for example, ranges from a few minutes to a maximum of about 30 minutes when using ultra pure peroxide [44]. Solid catalysts also necessitate the use of rocket grade hydrogen peroxide which is relatively unstabilized. The use of stabilizers allows longer-term storage and easier handling of the peroxide, but causes the poisoning of solid catalysts. Furthermore, in microscale applications where very narrow, arrayed channels are required to increase the surface area of the catalyst, flow clogging can become a problem. Hitt et al. [45], in conjunction with the NASA Goddard Space Flight Center, created a prototype monopropellant MEMS thruster to decompose hydrogen peroxide Chapter 2. Modeling and design using a heterogeneous catalyst. The device failed to achieve complete peroxide decomposition and effluent vaporization. One of the causes to which this failure was attributed was the formation of gas bubbles that may have blocked some of the reactor channels. Using a homogeneous (liquid) catalyst [46] eliminates the limited lifespan issue and allows the use of highly stabilized peroxide without causing poisoning. It also allows wider reactor channels that are not as susceptible to clogging. To be able to use this kind of catalyst, however, one extra challenge has to be met. For fast and complete peroxide decomposition, the peroxide and catalyst streams must be well-mixed. This necessitates the design and addition of a proper mixer section to the device. Mixing is especially tricky at the microscale, where the laminar nature of flows usually makes diffusion the dominant mixing mechanism [47], which significantly slows down the mixing. Two further challenges arise from scaling considerations. The first challenge is thermal management. The heat released from the peroxide decomposition is necessary to keep the reaction going and to vaporize the water produced. The rate of heat generation scales with the device volume (as in any homogeneous reaction). On the other hand, the rate of heat loss from the device scales with surface area. If a macroscale device that generates steam via the above approach is shrunk down while retaining the proportions between its dimensions, the ratio of heat losses to heat generation thus scales inversely with length: heat loss surface area 1 ocx heat generation volume length (2.1) As seen in (2.1), downscaling makes the heat losses significant compared to the heat generated by the reaction. When the scale gets small enough, the energy remaining inside 32 Chapter 2. Modeling and design the device will become insufficient for sustaining the reaction and vaporizing the water produced. This necessitates paying extra attention to thermal management to ensure successful device operation. Osaki et al. [48] designed a microthruster that decomposes hydrogen peroxide heterogeneously, and they found that the heat losses were so significant that an electric heater was needed for effective operation. It is suspected that the increased role of heat losses at the microscale may have also contributed to the failure of the device by Hitt et al. That device lacked any thermal insulation. The second scale-dependent challenge is boundary layer formation. The thickness 6 of boundary layers inside the device channels scales with the square root of distance x in the flow direction. If a macroscale internal flow device is downscaled while retaining the proportions between its dimensions, the ratio of the boundary layer thickness to the width w of the flow channel thus increases: w oc w length (2.2) Downscaling can therefore cause boundary layers to occupy a large fraction of the flow field, leading to a significant reduction in the effective flow area [49, 50]. In devices designed to achieve supersonic flow, this reduction will prevent the flow from reaching the sonic point if the scale gets small enough. This can be seen by examining the dependence of Mach number M on the effective flow area A [51]: dM2 2- M2 1 dA -2 1-NM A- . (2.3) As the flow approaches sonic conditions (M = 1), the denominator of the right-hand side of (2.3) approaches zero. In this case, even very small area changes dA can cause large 33 Chapter 2. Modeling and design deviations dM from the design Mach number. Therefore, proper compensation for the boundary layer presence has to be incorporated into the device design. One final challenge arises from practical considerations. Despite being nontoxic, hydrogen peroxide is a strong oxidizer. This calls for careful safety provisions in any experimental setup where high-test peroxide is used, to prevent explosions and detonations. In the current work, the catalyst, thermal management, and boundary layer challenges were addressed by implementing multi-domain physical modeling. This modeling was used to simulate the flow in different sections of the device and to evaluate the heat losses from the device. The results guided the design of both a MEMS device that decomposes hydrogen peroxide using a homogeneous catalyst and a package with sufficiently high thermal resistance to enable full peroxide decomposition and complete water vaporization. The model included the effects of boundary layers in the flow; these effects were compensated for in the design. Finally, by using a continually-supplied homogeneous liquid catalyst, the poisoning problem of heterogeneous catalysts was eliminated, at the expense of adding a mixer section for the peroxide and catalyst streams. Many safety measures for storing, handling, and experimenting with peroxide were taken during the testing stage, as described in detail in Section 4.2. 2.2 Conceptual Design In the current work, steam is generated from the decomposition of hydrogen peroxide, and the reaction is facilitated by a homogeneous catalyst solution that is mixed with the peroxide inside the device. The exothermic decomposition first produces oxygen 34 ...................... ..........m .. ...... .. .. ................. . ....... __ __ . . ................................ .............................. . .................. ... ....... .... Chapter 2. Modeling and design gas and liquid water. The water is then vaporized by the heat generated, which leads to allgaseous products at the reactor exit. The products are subsequently accelerated to the required speed, or expanded to the desired pressure. To enable these functionalities, the device consists of three sections: a mixer for mixing the peroxide and catalyst streams, a reactor for decomposing the peroxide and vaporizing the water, and a nozzle for accelerating the gaseous products. A schematic of the device is shown in Figure 2.1. Hydrogen peroxide reservoir Reactor Nozzle Mixer Catalyst reservoir Figure 2.1. Conceptual design The choice of catalyst solution was based on optimizing different performance criteria, such as providing a strong and fast catalytic activity without containing large insoluble particles that could clog the device channels [43, 46]. The ratio of catalyst to peroxide flow rates was first guided by the findings of other groups that attempted to optimize the reactor length required for full decomposition [52]. Preliminary experiments were then conducted in which this ratio was slightly varied from the reported findings to determine the value that lead to optimal operation. This optimal value was used in the final device-characterization tests. Chapter 2. Modeling and design In the following sections, the models that were used to design the mixer, reactor, nozzle, and thermally-insulating package are described. Even though these models are presented sequentially, they are in fact interdependent, and iteration was required between them to arrive at the final design. 2.3 Mixer Design 2.3.1 Mixer overview The device includes a mixer section to enable the use of a homogeneous catalyst. Homogeneous catalysts are supplied in solution form and make the catalysis process volumetric. For uniformity and fast decomposition in the reactor, it is desired to achieve thorough mixing of the peroxide and catalyst streams before the flow enters the reactor. Passive micromixing is challenging since it tends to be dominated by diffusion due to the laminar nature of microflows. This causes mixing to be slow and calls for long channels. Active mixing can be faster, but it necessitates external energy sources to stir and mix the flow. In the current work, a fast passive mixer design (not more than a few millimeters in length) was sought that would allow a compact device without requiring any external energy sources for mixing. In addition, the mixer was designed to minimize the pressure drop across it in order to avoid high supply pressures. This is necessary because the interface between the device and the package consists of thin 0-ring seals, and a supply pressure higher than 5 atm could lead to the failure of these seals [53]. All pressures listed in this thesis are absolute pressures. Chapter 2. Modeling and design 2.3.2 Micromixing literature review Various groups have developed MEMS devices that can mix two or more flows. Some of these designs achieve fast mixing by having out-of-plane (3D) features, such as the splitand-recombine design by Branebjerg et al. [54] and the serpentine design by Liu et al. [55]. In these designs, fast mixing comes at the expense of a complicated fabrication process and a generally large pressure drop. Other designs have simpler fabrication, such as the Tshaped micromixer by Wong et al. [56], the Herringbone mixer by Stroock et al. [57], and the impinging-jets mixer by Yang et al. [58]. These designs, however, suffer from other problems when adapted to the current work. The Herringbone mixer and the standard Tshaped mixer are slow and require very long channels (with lengths on the order of centimeters and meters, respectively) for sufficient mixing. The impinging jet mixer is fast and compact enough (i.e. with a few millimeters long channel) only when one jet of peroxide and one jet of catalyst are used. This makes the design not very robust. Despite its slow mixing rate, the basic T-shaped mixer has an easily fabricatable two-dimensional design that makes it very attractive from a MEMS-manufacturing point of view. Methods for enhancing this mixer's performance were thus sought. Mengeaud et al. [59] showed that zigzag channels provide better mixing than straight ones when the flow's Reynolds number exceeds 80, due to laminar recirculations that are generated at the zigzag angles. Wong et al. [60] showed that mixer walls with protrusions allow better mixing than smooth walls, due to the generation of eddies and lateral velocity components as the flow crosses these protrusions. Chapter 2. Modeling and design Furthermore, the Woias group [61, 62] showed that in a T-shaped micromixer, three distinct laminar flow regimes can exist, each having different mixing characteristics. The streamlines of the fluids to be mixed have different shapes at the mixer inlet for each of these regimes. At very low flow speeds, there is the "stratified flow" regime in which the streamlines are mostly straight and mixing is diffusion-dominated. At medium speeds, there is the "vortex flow" regime in which vortices start building up inside the channels. In this regime mixing is still primarily dominated by diffusion, but is slightly enhanced by the swirling motion that drags fluid from the middle to the top and bottom of the mixing channel. At high speeds, there is the "engulfment flow" regime in which the axial symmetry of the flow breaks up and the streamlines interweave and reach to the respective opposite half of the mixing channel. This causes a significant improvement in mass transfer and allows this regime to have much faster mixing than the other two. Quantitatively, the three regimes are distinguished by a dimensionless identification number K equal to the ratio of the channel's hydraulic diameter dh,mixer to the Kolmogorov length scale Ak, which is the scale of the smallest eddies in a turbulent flow: K = dhmixer (2.4) /1k Conceptually, K is a measure of the free space for the growth of vortices. At low values of K, the fluid viscosity damps the starting of eddies, and mixing is slow, whereas at higher K values, the flow conditions allow for the formation and growth of eddies and vortices that enhance mixing. The Woias group has found in experiments and simulations that when K exceeds a critical value of about 45, engulfment flow is achieved and mixing becomes fastest. Chapter 2. Modeling and design 2.3.3 Mixer modeling and design The mixer was designed to have engulfment flow. By following the derivation in [61], K can be expressed as: K = lPdh,mixer Re3 pV2 Ly (2.5) Y. In (2.5), Lv is the volume-to-area ratio of a control volume encompassing the mixer inlet region as described in [61, 62], AP is the pressure drop in this control volume, p is the flow density, V is the flow velocity, and Re is the Reynolds number based on dh,mixer. The ratio AP/pV2 across the mixer inlet region can be estimated to first order by using the HagenPoiseuille equation: AP - 32 = ---- pV2 L( (2.6) Re dh,mixer where Li is the equivalent length of the mixer inlet region, as described in [61, 62]. This allows K to be expressed as: % K =32 L Re2 . (2.7) Ly The Reynolds number can be determined using: Re= ,4 ipdh,mixer (2.8) where rn is the mass flow rate and p is the flow viscosity. For the mixer, it is desired to increase K to achieve engulfment flow while minimizing the pressure drop to allow successful 0-ring sealing. Since each of these requirements exhibits opposite dependencies on the mass flow rate as well as on the 39 Chapter 2. Modeling and design channel's hydraulic diameter, an optimization study was carried out to find a combination of flow rate and hydraulic diameter that meets the above criteria. The study was subject to the constraint that the mass flow rate through the mixer has to be less than or equal to the total flow rate across the device, which is fixed based on the pumping requirements discussed in Section 2.9. A lower mixer mass flow rate simply means using multiple mixers in parallel. Care was taken to ensure the device-to-mixer flow rate ratio produces a whole number of mixers. The objective of the optimization was to find this number and the dimensions of the mixers. Based on the results of this study, four identical mixers having the design shown schematically in Figure 2.2 are used in parallel. Peroxi 100 pm Catalyst Peroxide 30 pm x 40 pm protrusions 2.9 mm Depth of channel and protrusions = 100 im Figure 2.2. Schematic of a mixer with dimensions Each mixer has three inlets: a middle catalyst branch sandwiched between two peroxide branches. Compared to a two-inlet T mixer, this configuration cuts the distance that the peroxide particles need to travel to meet the catalyst in half. In each mixer, the Reynolds number is on the order of 500 under design conditions, and Li and Lv are found following [61, 62] to be about 4 and 6 times the mixer width, respectively. This results in a K value around 48, ensuring engulfment flow. Once the cross section is determined, the length is chosen so that the residence time in the mixer (around 1 ms) matches that of engulfment flow mixers reported in [62] to achieve high mixing qualities at their exit. This 40 Chapter 2. Modeling and design time is 3 orders of magnitude less than the mixing timescale of a diffusive mixer with the same width as the current design; the latter would have led to a much larger device. For the original HTP concentration considered (see the discussion in Section 2.4.2 preceding Figure 2.4), the residence time in the mixer is less than the timescale for the onset of phase change due to reaction. This was done on purpose to minimize the amount of bubbles forming inside the mixer, which has narrower channels than any other section in the device, and hence is the most susceptible to clogging. Ultimately, however, the device was operated at higher peroxide mass fractions for which phase change begins in the mixer. This was not found to cause any problems in operation, suggesting that some phase change in the mixer can occur without causing adverse effects. To further enhance mixing following [59] and [60], each mixer in the current design consists of 5 connected zigzag segments and has 12 wall protrusions that extend along the mixer depth. The pressure loss across each mixer is estimated by first using (2.6) and replacing Li by the total mixer length to determine the losses in a straight pipe of the same length and cross section. Then the losses due to the bends are calculated by using the equivalent length method [63], and those due to the protrusions are approximated by following the experimental findings of [60]. This analysis shows that the total pressure drop in the mixers is about 2 - 2.5 atm, which for a reactor pressure around 2 atm (see Section 2.4) keeps the supply pressure below 5 atm as desired. Chapter 2. Modeling and design 2.3.4 CFD simulation of the mixer A numerical simulation of the mixer was carried out by Collins [64] using ADINA software to study the mixing quality. The streams to be mixed were assigned different colors, and non-reacting flow was assumed. The mixing quality was assessed based on the color of the combined flow at the end of the mixer. The CFD analysis confirmed the design's capability of achieving good mixing for the desired flow rates of peroxide and catalyst. The simulation was two-dimensional due to computational limits, and therefore its pressure calculations, which predicted much lower losses than the above analysis, were considered inaccurate. 2.4 Reactor 2.4.1 Reactor overview The reactor section is where most of the peroxide decomposition takes place. After thorough mixing with the catalyst in the mixer, the peroxide starts decomposing in the reactor according to (1.2). Along with the chemical reaction, other physical phenomena take place inside the reactor. The hydrogen peroxide and water are initially in the liquid phase, but are subsequently vaporized due to the heat released by the reaction. Some heat is also lost through the reactor walls to the environment. The reactor has a rectangular crosssection for ease of microfabrication. The design process consists of determining the dimensions of the reactor chamber that ensure complete peroxide decomposition and full liquid vaporization. Although this may sound like a simple task at first, the intertwining of physical phenomena occurring simultaneously inside the reactor makes the design optimization challenging, since different phenomena point in different design directions. 42 Chapter 2. Modeling and design For example, a larger reactor volume allows more residence time for the reaction to take place, but also produces larger heat losses. A higher reactor pressure speeds up the reaction after vaporization is complete, but requires higher peroxide and water boiling temperatures, which can prevent the flow from ever reaching the vaporization stages if the chamber is too short. The reactor model therefore had to account for all of the relevant underlying physics, which necessitated a multi-domain modeling approach. 2.4.2 Reactor modeling and design The reactor was designed to achieve complete peroxide decomposition and full water vaporization. A qualitative understanding of what happens inside the reactor is necessary for modeling, and is presented here first. Inside the reactor, hydrogen peroxide decomposes according to (1.2) into H20 and oxygen while releasing heat. The flow in the reactor passes through five stages based on the thermodynamic phases of the species present, as summarized in Table 2.1. In stage 1, liquid peroxide decomposes into liquid water and oxygen gas, and the heat released causes the reactor temperature to rise. Once the boiling temperature of water at the reactor pressure is reached, stage 2 commences. In this stage, liquid peroxide continues decomposing and the water starts vaporizing at constant temperature. Once all of the water has been vaporized, stage 3 begins. In stage 3, liquid peroxide decomposes to produce steam and oxygen gas, and the heat released again causes the temperature to increase. This continues until the boiling point of the peroxide at the reactor pressure is reached and stage 4 begins. In stage 4, the decomposition continues while the peroxide changes phase at constant temperature. Once all of the peroxide has been vaporized, stage 5 starts. In stage 5, the peroxide and H2 0 are both in the gas phase. 43 Chapter 2. Modeling and design This stage continues until all of the peroxide has decomposed. Table 2.1. Phases of H2 0 and H20 2 during the five reactor stages H20 H20 2 Stage 1 Stage 2 Stage 3 liquid liquid liquid liquid liquid + gas gas Stage 4 liquid + gas gas Stage 5 gas gas To study the flow in the reactor, some approximations were made to allow numerical modeling with reasonable time and computational effort. First, the models were limited to steady-state behavior, and the experimental conditions were later chosen so that the timescale of the transient effects was only a small fraction of each experimental run. A bulk one-dimensional model was used, which is justified to first order by the reactor length being about 4.4 times its hydraulic diameter in the final design. The accuracy of this onedimensional approximation was later verified experimentally. The reactor pressure was assumed to be constant, since the two components of pressure loss (due to friction and phase change) in the reactor are very small. The frictional pressure losses are negligible compared to those occurring in the much narrower mixer channels. The phase-change pressure losses were estimated following the homogeneous two-phase flow model in [65] and were found to be negligible compared to the total pressure at the reactor inlet. Finally, a very high heat transfer coefficient was assumed between the reacting particles and the surrounding liquid during vaporization, which allows uniform-temperature modeling of the flow during phase change. This last assumption is justified by the fact that the heat 44 Chapter 2. Modeling and design transfer coefficient during liquid boiling is proportional to the latent heat of vaporization [65], which is high for both peroxide and water. In addition, the phase change in this case is volumetric, which leads to even higher heat transfer coefficients than with surface boiling. All these observations indicate that the vaporization heat transfer coefficients are most likely much larger than those describing other phenomena that are accounted for in the current model, such as internal forced convection. With the above assumptions, a state-space model was constructed in MATLAB. In this model, the state or independent variables are taken to be the flow temperature T, the peroxide mass fraction Yp, and the peroxide and water qualities,fp and fw, respectively. The quality of a two-phase (liquid-gas) species is the mass of that species in the gas phase divided by the total mass of that species present. The objective of the model was to study the variation of these parameters versus distance x along the flow direction for different reactor geometries, to determine which geometry results in full peroxide decomposition (Yp = 0) and water vaporization (fw = 1) at the reactor exit. Table 2.2 describes the variation of each state variable during the different stages. In this table, Tbw and Tbp are the boiling points of water and peroxide respectively at the reactor pressure, and the last two rows show the criteria used by the program to determine the beginning and end of each stage. The stages are traversed sequentially. Chapter 2. Modeling and design Table 2.2. Variation of state variables during the different reactor stages Stage 1 Stage 2 Stage 3 Stage 4 Stage 5 Yp decreasing decreasing decreasing decreasing decreasing T increasing TbW increasing Tb,p increasing fw 0 increasing 1 1 1 fp 0 0 0 increasing 1 Start x=0 T=Tbw fw= 1 T=Tbp fp 1 End T = Tw fw=1 T = Tbp fp=1 Yp=0 To study the evolution of the state variables versus distance x along the flow direction (which is equivalent to time under steady-state conditions), the numerical program divides the reactor into lengthwise differential elements. The mass, species, and energy conservation principles are applied to these elements while accounting for the chemical reaction within each element and the heat loss from the walls. The conservation of mass simply states that the mass flow rate at any reactor section has to be the same, since the reactor has one inlet and one exit. For the design conditions, this total mass flow rate is 17.5x10-5 kg/s at any x. The species law is used in conjunction with chemical kinetics to determine the rate of change of peroxide mass fraction with distance. The rate constant k for the above reaction is defined as the fraction of existing peroxide moles that will presently react per unit time. Following [66] and [67], this rate constant is empirically given by: Chapter 2. Modeling and design k =10s k=109exp (Stage 1) 54800 kJ/kmol (Stages 2-5) (2.9) where Ra is the universal gas constant. The rate constant expressions, however, are highly dependent on the conditions of the experiments that were used to determine them. As a result, the possibility that those expressions may not describe the decomposition in the current case with full accuracy was considered. A conservative value for the package thermal resistance was used to allow for some variation (about an order of magnitude) in k without compromising the device's operation under design conditions. This is described in more detail in Section 2.8. It should be noted, however, that all the simulation plots shown in the thesis are based on the above expressions, for lack of better ones in the literature. The reaction rate Rr, which is the number of moles of peroxide reacting per unit time and per unit reactor volume, is then given by: Rr kp Yp Mp (2.10) where My is the molecular weight of the peroxide. From the definition of Rr, the rate of change of the peroxide mass fraction with distance in the flow direction is given by: dYp dx MpRrA (2.11) i where A is the effective flow area, which for the reactor is equal to the chamber's crosssectional area. Chapter 2. Modeling and design To satisfy the conservation of energy, the first law of thermodynamics for steadystate open systems with no shaft work is applied to the differential reactor element in Figure 2.3: rhh-Lrhh hhax] -IOSS =0. rhh --- Reaction 4 - Ax -- (2.12) rhh+ (rhhjax - Figure 2.3. Differential reactor element In (2.12), h is the enthalpy of the flow and Q10s, is the rate of heat loss from the walls. The flow enthalpy is the mass-weighted sum of the individual enthalpies hP of peroxide in any phase, hw of H20 in any phase, and ho of oxygen gas: h=hpYp +hwYw +hOYO. (2.13) In (2.13), Yw and Yo are the mass fractions of H2 0 and oxygen respectively, and are determined from stoichiometry and the initial peroxide mass fraction Ypi: Yw =(1 -Yi )+ Mw (YP'i -Ye , MP Yo = 0 5 M (YPi -Y )MP (2.14) (2.15) In (2.14) and (2.15), Mw and Mo are the molecular weights of H2 0 and oxygen respectively. The individual enthalpies in (2.13) are given by: Chapter 2. Modeling and design hp= hfp(T) + fphfg,p(T), (2.16) hw= hfw (T) + fwhfg,w(T ), (2.17) ho = ho (T). (2.18) In (2.16)-(2.18), hf and hfg denote liquid-phase enthalpy and heat of vaporization, respectively. All temperature dependent variables in (2.16)-(2.18) are determined from property databases [35] and account for the heat of formation of each species. With some algebraic manipulation, (2.13)-(2.18) can be used to express (2.12) in the form: - rhAX c -- +fYphfP +Yw dx dx + f dfg,w dYp =$sR dx Mp dx )10ss (2.19) In (2.19), c, is the mass-weighted average specific heat of the flow at constant pressure (equal to the partial derivative of the flow enthalpy with respect to temperature), and AHR is the heat of reaction, defined as: AHR =-hpMp +hwMw +O.5hOMo. (2.20) The heat of reaction describes the amount of heat released when 1 mole of peroxide decomposes. Note that AHR as defined here is a function of temperature and H20 and peroxide qualities. A representative value typically quoted in the literature is AH" = -96 kJ/mol; this is the standard heat of reaction for the decomposition of liquid peroxide at 250C into liquid water and oxygen gas. The negative sign denotes an exothermic reaction. The flow loses heat mainly by internal forced convection to the reactor walls. Heat transfer by radiation was estimated and found to be negligible compared to convection. The heat loss term in (2.12) is therefore given by: Chapter 2. Modeling and design $10ss = 2h1c (Wreactor + hreactor)Ax(T - Twaji), (2.21) where Wreactor and hreactor are the reactor width and depth respectively, Twaji is the device wall temperature (determined by iteration as described in Section 2.8), and hic is the internal convection coefficient, given by: hic = Nuic d kcond (2.22) h,reactor In (2.22), Nuic is the Nusselt number for internal convection, kcond is the mass-weighted average thermal conductivity of the flow, and dhreactor is the hydraulic diameter of the reactor. The thermal conductivities of the individual species are determined from property tables [35], and the Nusselt number is found to be in the range 25-75 from empirical internal flow correlations that account for entry effects [65]. Finally, (2.11) and (2.21) can be used to express (2.19) as: c( +YThg,P +Yw h w -AH A - 2hc (wreactor + hreactor TTwa ). (2.23) Note that two of the three terms inside parentheses on the left-hand side of (2.23) vanish for each stage in Table 2.2. Therefore (2.11) and (2.23) constitute a state-space system of coupled differential equations. This system is solved in MATLAB using the odel5s solver which is capable of handling stiff differential equations. To determine the onset of stages 2 and 4, the flow temperature at every x is compared to the saturation temperatures of water and peroxide, respectively, at the reactor pressure. This pressure, for operation at the design point, is set at around 2 atm in order to keep the device supply pressure less than 5 atm while allowing for the mixer pressure losses described earlier. Expressions for these saturation temperatures as functions of pressure are also obtained from property tables 50 Chapter 2. Modeling and design [35]. Once the state variables are evaluated, the flow density p can be estimated using constitutive relations, such as the ideal gas law in stage 5: P p = reactor RT (2.24) In (2.24), Preactor is the reactor pressure and R is the mass-based gas constant of the flow. The velocity V can then be found using V pA (2.25) Using the above model, the reactor was designed to be a 15 mm long rectangular chamber with a 4mm x 3mm cross section. The flow temperature and species mass fractions that are predicted by the model are plotted versus distance along the reactor in the flow direction in Figures 2.4 and 2.5 respectively. These figures are for the case of a 90% HTP mixture supplied at 7.0 mL/min and catalyzed by a ferrous chloride tetrahydrate solution (80% saturated) at 0.5 mL/min, which corresponds to an overall initial peroxide mass fraction of 83% (after mixing with the catalyst). These conditions will be referred to as the design conditions since the device performance, in terms of the energy content of the exiting flow, is best under those conditions. The device, however, was originally designed for more conservative operation with an 80% HTP mixture. The 80% concentration, although more desirable than 90% from a safety point of view, was not commercially available. This explains the extra reactor length beyond the point of complete peroxide decomposition for the 90% HTP case, as seen in Figure 2.5. The extra length is also visible as the region in Figure 2.4 where the temperature starts to drop after peaking. The drop is ....................................................................................... ............ . ..... ... ............... W%V% R- Chapter 2. Modeling and design due to heat losses from the device walls after the decomposition is complete and the heat generation stops. The inserts in Figure 2.4 show the vaporization stages. 900 850800-5 750- S700- 445- 650 435 60 E50 0 0.1 0.2 0.3 550-----------------.395 .*500-, 450 394 400 393 350 0.010--0 0.02 -0 .03, 300 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Distance from reactor inlet along flow direction (mm) Figure 2.4. Plot of the flow temperature along the reactor length for the design conditions, with inserts magnifying the vaporization stages 0.9 -0.8 0.8 - 10.7 0I 0.7 H20 "" " - - " " - "- - - - - - - -0.----- C 0. r-0.0 -0.-............-----.--2...-. 0.4 0. .A 0.2 0.1 2 0.6 -- - 0 \ -- 1 0.3 0.2 I2 H20 2 0.1 0 0 1 2 3 4 5 6 7 8 9 101112131415 Distance from reactor inlet along flow direction (mm) 00 - 0 0.1 0 -. 0.2 2 0.3/ Figure 2.5. Plot of the species' mass fractions along the reactor length for the design conditions, with an insert magnifying the region near the reactor inlet Chapter 2. Modeling and design 2.5 Nozzle 2.5.1 Nozzle overview The nozzle accelerates the flow from the relatively low reactor speeds to supersonic speeds, thereby expanding it to a pressure lower than that inside the reactor. When the steam generator is used to drive an ejector pump, the nozzle should be designed so that its exit pressure matches the ejector's upstream pressure. In the current work, the device was tested for proof-of-concept only, and the flow exited into the atmosphere. The nozzle was therefore designed to expand the flow into atmospheric pressure. This prevents the formation of shock waves at the exit, which would dissipate part of the flow energy. To achieve this expansion, the nozzle requires two sections: a converging section in which the flow is accelerated to sonic velocity, and a diverging section in which the flow becomes supersonic. The nozzle design process consists of sizing the different nozzle sections to achieve the desired expansion. 2.5.2 Nozzle modeling and design An isentropic one-dimensional compressible flow model was first used to approximate the dimensions of the throat and exit sections, and then the design was refined by accounting for heat losses and boundary layer formation. The nozzle depth was kept the same as that of the reactor (3 mm) to simplify the device fabrication. Figure 2.6 is a nozzle schematic showing the known quantities at different locations. The isentropic model uses these known quantities to calculate the throat and exit areas as described below. Chapter 2. Modeling and design Nozzle inlet Nozzle throat Nozzle exit Area and all flow variables are known Flow is sonic (Mach number = 1) Pressure is atmospheric Figure 2.6. Schematic of the nozzle showing the known quantities at different locations At any location along the nozzle, the Mach number can be determined from the flow velocity and temperature, using M= (2.26) In (2.26), y is the specific heat ratio of the flow in the nozzle, which is assumed to be composed of oxygen and steam in the concentrations given by the reactor model. This ratio is determined from the specific heat and gas constant of the flow, which are calculated as the mass-weighted sums of the individual respective properties of steam and oxygen. The isentropic M-A relation is then applied between the inlet section and the throat section to calculate the necessary throat area Ath, using (2.26) to estimate the Mach number Mi at the Chapter 2. Modeling and design nozzle inlet. This inlet has a cross-sectional area At equal to that of the reactor, and the flow is assumed to be sonic (Mth = 1) at the throat. This results in the expression: A ' 1+ 2 0.5(y+1) 1(2.27) 0.5(y+l) -A th 1+ M ' 2 To determine the nozzle exit area, the necessary exit Mach number Me is first calculated by applying the M-P isentropic relation between the nozzle inlet and exit sections, using: Y Y-1 + Y-1 Me2 Pi Pe __2 (2.28) _ 1+ Y-1 2 M2 J In (2.28), Pi is the known inlet pressure (i.e. reactor pressure) and Pe is the exit pressure, which is deliberately matched to that of the atmosphere to prevent the formation of shock or expansion waves at the nozzle exit. Then the isentropic M-A relation is applied again, this time between the inlet and exit sections, to calculate the exit area Ae: A 'i O.S(y+l)-=A e 1 + Y-Me 1+ Y-M2 21~YIM; e K- 21Y1~ e 0.5(y+l) ((2.29) - - The nozzle length is set somewhat arbitrarily at 2.3 mm by trying to minimize the overall device volume without causing strongly non-ideal flow behavior, such as separation from the nozzle walls. The isentropic flow assumption is then relaxed, and the variations of the flow Mach number M, stagnation temperature Tt, and stagnation pressure Pt with distance x along the flow direction are determined by using a non-isentropic compressible flow model [51]. This model accounts for heat loss from the nozzle walls but assumes that *._ . .... ........ : .......... -111, .......... ....... .......... ............... Chapter 2. Modeling and design the flow has constant molecular weight and specific heat. The nozzle is divided into lengthwise differential elements as shown in Figure 2.7, and the conservation of mass, energy, and momentum are applied to each element. Heat losses A+dA, A, FAw Pt M+dM, Pt+dPt Figure 2.7. Differential nozzle element By following the derivation in [51], the following equations are obtained: dPt dx _ d__z___M( dM 2 m2 1+ 2 1-M dx IC __ dPt dx 2 nozzle + hnozzle XT ~ )wall 'Y2dA 1+yMz dTe' M 2 ----+ ,d (}Adx Tt dx) - yM 2 Pt dTt dx 2Tt (2.30) (2.31) (2.32) In (2.30), hic is determined using (2.22) after replacing dAreactor with dhnozzle, the nozzle's hydraulic diameter. Empirical correlations [65] are used to calculate Nuic, which is found to be in the range 480-560 for the nozzle. The higher nozzle speeds result in higher Nusselt numbers compared to the reactor. The above state-space system (2.30)-(2.32) is then solved in MATLAB using the ode1Ss solver. Once the stagnation properties are found, the static flow temperature T and pressure P at any x can then be determined using: Chapter 2. Modeling and design =1 + m2, 2 T = P 1 m2 Y (2.33) (2.34) 2 The flow density and velocity along the nozzle are calculated using (2.24) and (2.25) respectively, and are used to estimate the thickness of the boundary layers in the nozzle. These layers tend to lower the mass flow rate from its ideal (frictionless) value. Their effect is most pronounced near the nozzle throat, where they could prevent the design from achieving sonic (and subsequently supersonic) conditions unless accounted for. The displacement thickness is selected as the measure of the boundary layer thickness, and is defined as the distance by which the walls in a viscous flow would have to be pulled apart to maintain the same mass flow rate as a hypothetical frictionless flow with the same density and initial wall separation. The displacement thickness 6*is calculated following the Blasius solution [68]: 6*2 =21.72 IriX. (2.35) In (2.35), xn is distance measured from the nozzle's inlet along the flow direction inside the nozzle, and p is the flow viscosity which is obtained as a function of temperature from property tables [35]. The factor of 2 in (2.35) accounts for the formation of boundary layers on both lateral sidewalls of the nozzle; the effects of top and bottom wall boundary layers are less critical since the nozzle width is much smaller than its depth near the throat. Thus the nozzle width must be increased by 6* to leave the mass flow rate unaltered. Figure 2.8 plots the nozzle profile before and after boundary layer compensation, with an insert showing the profile in the vicinity of the throat. Note that the actual fabricated design 57 Chapter 2. Modeling and design replaces the sharp corners near the throat with filleted ones to lower the frictional losses. The fillet radius is about 200 prm, and the throat section is made slightly longer (by about the same value) to ensure that the throat width given by the model is met in the design. 2 After b.. compensation 1.5 - - - - Before b.i. compensation E -0.1 2 0.5 2 0 0 -0.5 N o Z -1- -0.1 :-0.2 1.7 -1.5 - - - - - -0 . 1.75 1.8 1.85 -............... -2 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 2.2 Distance from nozzle inlet along flow direction (mm) Figure 2.8. Nozzle width profile before and after boundary layer compensation with insert showing the throat region Figure 2.9 plots the variation of static and stagnation pressures along the nozzle for the design flow conditions. The static pressure at the exit is just above atmospheric pressure, which prevents the formation of shockwaves at that section, as desired. Figure 2.10 plots the Mach number variation along the nozzle for the design conditions. The apparent discontinuity in the slopes of the curves in these two figures near the throat section is due to the computational limits of the numerical program and has no physical significance. Chapter 2. Modeling and design 1.8 CD - 1.6 - Static pressure Stagnation pressure S1.4 CD oL 1.2 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 2.2 Distance from nozzle inlet along flow direction (mm) Figure 2.9. Plot of static and stagnation pressures along the nozzle for the design conditions 1.2 1 .0 0.8 E 0.6 0.4 0.2 0 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 2.2 Distance from nozzle inlet along flow direction (mm) Figure 2.10. Plot of the Mach number along the nozzle for the design conditions 2.6 Parametric Study In addition to simulating the design conditions, the numerical programs for modeling the reactor and nozzle were expanded to study the device operation over a range of overall initial peroxide mass fractions between 71% and 83%. This parametric study was used to assess the accuracy of the models by comparing them to the experimental results discussed in Section 5.3. Chapter 2. Modeling and design Figure 2.11 plots the mass fraction of peroxide exiting the reactor versus the initial peroxide mass fraction. Full peroxide decomposition occurs for overall initial concentrations down to about 74%, below which some peroxide starts exiting the device undecomposed. Conceptually, this is due to the decreasing energy content of the HTP mixture as the peroxide concentration decreases. This causes the temperature-dependent reaction rate to slow down until the residence time of the flow in the device is no longer enough to decompose all of the peroxide. Even though decomposition is incomplete for all initial concentrations less than 74%, the part of the curve in Figure 2.11 between initial concentrations of 71% and 73% is not monotonic due to two competing effects that influence the flow temperature in opposite ways. As the initial peroxide concentration is lowered, the energy content of the mixture decreases, but also less heat is lost from the device walls to the environment due to the lower wall temperatures reached. 5.5 5 S 4.5 -0 CU (D~ ( 3.5- S3- - 2.5- E~ 2 V 1.5- 2 1 -0.50 71 72 73 74 75 76 77 78 79 80 81 O\erall initial peroxide mass fraction (%) 82 83 Figure 2.11. Plot of peroxide mass fraction at the reactor exit versus initial peroxide mass fraction Figure 2.12 plots the variation of the static and stagnation temperatures at the nozzle exit versus initial peroxide mass fraction. The shapes of these curves are directly 60 Chapter 2. Modeling and design linked to the degree of peroxide decomposition in the reactor from Figure 2.11. To explain the shapes of the temperature curves, an approximate steady-state energy balance is performed on the entire reactor as shown schematically in Figure 2.13. This balance can be expressed as: Rate of chemicalenergy generatedinside reactor= Rate of thermalenergy out - Rate of thermal energy in + Rate of heat loss. (2.36) 750 Stagnation temperature Static temperature 700 ------ 650 - 600 ',.Po- 550 ,I 500 /I 450 . - 400 - 350 71 72 73 74 75 76 77 78 79 80 81 82 83 Overall initial peroxide mass fraction (%) Figure 2.12. Plot of static and stagnation temperatures at nozzle exit versus initial peroxide mass fraction Heat lost to environment Thermal energy in---+ Chemical energy generated inside reactor -- Thermal energy out Figure 2.13. Energy balance on the entire reactor The flow energies in and out of the control volume only include the thermal components of the enthalpies, since the chemical components are accounted for as energy Chapter 2. Modeling and design generation inside the reactor. By assuming an average and constant specific heat e, for the flow, the difference in these thermal flow energies can be expressed as rn,(Tr,ex - Tr,in), where Tr, in and Tr, ex are the flow temperatures at the reactor inlet and exit, respectively. The heat loss term in (2.36) is proportional to the temperature difference between the reactor wall and the environment. Since higher flow temperatures at the exit are correlated with higher wall temperatures, it is reasonable to assume a linear dependence between these two temperatures, to first order and for the purpose of this approximate analysis only. Then the right-hand side of (2.36) can be expressed as: Rate of thermal energy out - Rate of thermal energy in + Rate of heat loss = C(2.37) w ear~,ex ++he C*, where a is a proportionality constant, and C*is the sum of any remaining constant terms, including those that contain Tr, in. When the peroxide decomposition is complete, which from Figure 2.11 is observed for initial peroxide mass fractions greater than 74%, the energy generation term in (2.36) can be expressed as: Rate of chemical energy generatedinside reactor= (rh, / M, IAHIR , (2.38) where rn, is the mass flow rate of peroxide in the supply mixture, and AHR is an average constant heat of reaction. When (2.37) and (2.38) are substituted in (2.36), it becomes clear that the flow temperature at the exit of the reactor is linearly proportional to the ratio of peroxide to total mass flow rates in the supply mixture, which by definition is the peroxide initial mass fraction, for the range over which the peroxide decomposition is complete. This exit temperature closely matches the nozzle inlet stagnation temperature due to the low 62 Chapter 2. Modeling and design flow speed in the reactor. In the nozzle, the exit static and stagnation temperatures follow the dependence of this inlet stagnation temperature, producing the linear portions of the curves in Figure 2.12. When the peroxide decomposition is incomplete, the energy generation term is no longer proportional to the initial peroxide mass fraction, since some peroxide now leaves the reactor undecomposed. Therefore the linear dependence of the temperatures on initial peroxide concentration breaks, producing the nonlinear portions of the curves in Figure 2.12. Since the same nozzle design is used for the entire range of the parametric study, it is expected that the pressure in the reactor chamber will vary with initial peroxide concentration. This variation can be explained by examining the relationship between mass flow rate, Mach number, and stagnation temperature and pressure in a compressible flow: AP~ J YMj(2.39) 2 -1 The throat Mach number is ideally unity, so the right-hand side of (2.39) is always a constant quantity at the throat. Moreover, the mass flow rate and throat area are the same for the entire parametric study. Assuming constant flow properties, the stagnation pressure at the throat will vary as the square root of the stagnation temperature, which is close to a linear variation due to the small range involved. If the nozzle's viscous and heat losses are neglected for the sake of this argument only, isentropic flow ensues, and the stagnation pressure and temperature are uniform along the length of the nozzle. Therefore, 63 Chapter 2. Modeling and design as the stagnation temperature of the flow decreases with the initial peroxide concentration, the stagnation pressure must also decrease proportionally to keep the other quantities in (2.39) fixed. The reactor pressure closely matches the nozzle stagnation pressure due to the low flow speed inside the reactor. As a result, the reactor pressure follows a trend similar to the temperature curves in Figure 2.12. Figure 2.14 plots the variation of the reactor pressure over the above range of initial peroxide mass fractions. E 1.9- 1.8- I 1.7 0 CU) 5 1.61.5 71 '1 72 73 74 75 76 77 78 79 80 81 822 8 83 Overall initial peroxide mass fraction (%) Figure 2.14. Plot of reactor pressure versus initial peroxide mass fraction The reactor pressure for the design conditions is determined from the maximum supply pressure requirement discussed earlier, and the nozzle is designed accordingly to produce atmospheric static pressure at the exit. For the other operating conditions in the parametric study, the reactor pressure is determined by iteration using both the reactor and nozzle models. First a given pressure is assumed, and the reactor model is solved to determine the conditions at the reactor exit, which serve as boundary conditions for the nozzle. The nozzle model is then solved to determine the conditions along the nozzle. By iteration, the reactor pressure is selected as the value that leads to sonic flow (M = 1) at the throat. ......... ...... . ............ ............... Chapter 2. Modeling and design 2.7 Overall Design The design of the overall device is shown in Figure 2.15. The top layer is made of Pyrex as discussed in Chapter 3, and it allows optical access into the device's interior. The reactor, nozzle, and one of the four parallel mixers can be seen. In addition, there are two sets of through holes that terminate just before the Pyrex layer: two large holes (1 mm diameter) for connecting the peroxide and catalyst supplies, and six smaller holes (0.5 mm diameter) for inserting thermocouples to measure the device wall temperature during experiments. The openings of all these holes are on the back side of the device and are not visible in Figure 2.15. Finally, a buffer zone is left intentionally between the nozzle exit and the device edge to protect the nozzle during diesawing. Nozzle Reactor Mixer Thermiocouple insertion holes Catalyst inlet hole Peroxide inlet hole Figure 2.15. 3D model of entire device Chapter 2. Modeling and design 2.8 Thermal Management Thermal management is key to ensuring successful operation of the device. The right-hand side of (2.23) shows that there is competition between the heat generation inside the device and the heat loss from the walls. The ratio of heat losses to heat generation increases as the device is downscaled, as was shown in (2.1). Without proper management, the heat loss term can dominate, preventing the flow temperature inside the device from rising to the desired values. This can cause incomplete peroxide decomposition by slowing down the temperature-dependent reaction rate constant in stage 5, and can also lead to incomplete water vaporization. To minimize the heat losses, two packaging schemes were evaluated. The first approach consisted of suspending the device in air and making the fluidic connections using low thermal conductance pipes adhered directly to the device surface (e.g. by epoxy). In this case, the dominant heat loss mechanism is internal forced convection from the flow to the device walls followed by external natural convection from the walls to the ambient air. The coefficient of natural convection hNC from each side of the device to the ambient air is given by: hNC = NuNC k. ir (2.40) where kair is the thermal conductivity of air, Lside is the characteristic length of each side, and NuNC is the Nusselt number for external natural convection, found using empirical correlations [65]. The convection coefficients were found to be in the range 15-30 W/m 2 K, providing sufficient thermal insulation for complete peroxide decomposition and full water vaporization. This approach, however, was ultimately not selected due to robustness 66 Chapter 2. Modeling and design considerations: connections by direct adhesion to the device are prone to leakage and failure, especially for the somewhat high supply pressures anticipated (4-5 atm). The second approach consisted of encasing the device inside a machined package using O-rings at the interface, with threaded fittings connecting the supply pipes to threaded ports in the package. In this approach, the flow primarily loses heat by internal forced convection to the device walls and then by conduction through the package and natural convection from any exposed device areas not covered by the package to the environment. This is shown schematically in Figure 2.16. This approach was selected because it was more robust than the first. The package material was chosen to provide sufficient thermal insulation as described below, in addition to meeting other requirements, such as having a melting point higher than about 4000C to tolerate the reactor wall temperatures, having a machining tolerance at least as tight as 0.05 mm to allow successful installation of the 0-rings, and being compatible with peroxide. To determine the minimum required thermal resistance of the package, the following algorithm was used. First the resistance due to conduction within the silicon walls was estimated and found to be about an order of magnitude less than that due to the flow's internal convection. The wall resistance was thus neglected, and the walls were assumed to be isothermal. Then the thermal network shown in Figure 2.17 was used to study the heat transfer in Figure 2.16 at steady state. In Figure 2.17, resistance of the package, Rcon, m is Rpack is the thermal the convective thermal resistance in each differential element of the reactor (Figure 2.3) or nozzle (Figure 2.7) at an average element temperature Tm, and Too is the ambient temperature. ..... . ... ... .... Chapter 2. Modeling and design Environment at ambient Natural convection from exposed device walls to environment temperature Too External package surface at ambient temperature Too Device walls at temperature Twai Figure 2.16. Schematic of a cross-section of the device at distance x along the flow direction, illustrating the dominant heat transfer mechanisms for the configuration in which the device is encased inside a package Rpack Twall T3 .. ... . Tn Figure 2.17. Thermal network between device and environment at steady state Chapter 2. Modeling and design The convective resistance of each element is given by: 1 Rcon, (2.41) AAsurf where hic is given by (2.22) and AAsurf is the differential surface area over which convection takes place. The program finds Twan by iteration, starting with a guess value to calculate the node temperatures Tm using the reactor and nozzle models, and then using these node temperatures to refine the value of Twain by applying Kirchoff's current law: n wa Rcony,m Twal _R To" (2.42) pack This process is repeated until Twain converges. Note that in (2.42) Rpack is not known yet, so different values are tried with the reactor and nozzle models to determine the minimum resistance that will allow complete peroxide decomposition and water vaporization, with no condensation in the nozzle. This minimum value is found to be in the range 0.5 - 4 K/W and is used to determine the maximum allowable package thermal conductivity kpack for a given geometry, such as the one shown in Figure 2.18. The above range in the required thermal resistance is mainly due to the uncertainty in the reaction rate constant k. The upper end of the range allows for a decrease of about an order of magnitude in k from the values given in (2.9). The outer package surfaces are assumed to be at the ambient temperature, and the device surfaces that are directly exposed to air are cooled by natural convection with negligible contribution from radiation. The package resistance is thus estimated to first order using a one-dimensional heat transfer analysis: Chapter 2. Modeling and design Rpack = kpacA +hNC ANC (2.43) In (2.43) A; and L; are the cross sectional area and length of each conduction heat path in the package between the device and the environment, ANC is the device surface area that is directly exposed to air, and hNC is estimated using (2.40) and empirical correlations for NuNC [65]. This analysis shows that the package thermal conductivity has to be no larger than 0.8-3.2 W/m-K. To allow for a conservative design, a value of 0.4 W/m-K is used in the simulations. The thermal conductivity of the material used for constructing the actual package also has this value, as will be described in Section 4.3. The package is shown schematically in Figure 2.18. It consists of two parts that are clamped together using fasteners. The top part has a slot in which the device sits and a window for optical access during the experiments. The bottom part has holes for thermocouple insertion, 0-ring glands, and threaded ports on the back side (not visible in Figure 2.18) for connecting the peroxide and catalyst supplies. The detailed design of the 0ring glands is shown in Figure 2.19. .............. 1.11, ............................................. . Chapter 2. Modeling and design Optical access window 12. Omm Threaded holes for fasteners Device slot Figure 2.18. Package design *,1 /:fI( I IF/7T:: p1.50 +1 // 0 0 C0 I--% 1.40 0. 5 7 +0.05 Figure 2.19. 0-ring gland design. Dimensions and tolerances are in mm. Chapter 2. Modeling and design 2.9 Analysis of an Ejector Pump Based on the Current Work This section presents an analysis of a MEMS ejector pump driven by the current device. The objective of this analysis is to derive the ejector pump specifications that were listed in Table 1.1 and used as performance metrics for comparison against other MEMS pumps in the literature. For the motive fluid, the proposed ejector uses a mixture of steam and oxygen gas that is generated from the decomposition of hydrogen peroxide. The analysis also calculates the required mass flow rate of motive fluid to provide the desired pump performance. This required mass flow rate is then used to design the current device as explained in the previous sections. A coupled design approach is used to determine the pump specifications and the flow rate across the steam generator simultaneously. Since macroscale ejector pumps typically offer pressure ratios on the order of 1:10 per stage [24], the same ratio is used here. Higher pressure ratios can be achieved by using multi-stage pumps. This analysis determines both the mass flow rate of suction fluid that can be pumped across a pressure rise of 1:10 and the required mass flow rate of motive fluid. The motive fluid is taken to be a steam-oxygen mixture produced by the decomposition of an aqueous hydrogen peroxide mixture having an overall initial peroxide mass fraction of 83%. Figure 2.20 is a schematic of the pump. In this configuration, the pump is used to create a low pressure of 0.1 atm in a chamber by discharging a suction fluid from that chamber to the atmosphere. To achieve this effect, the steam generator's effluent is used as the motive fluid. This motive fluid is first expanded from section 0, which is the exit section of the current device, to section 1 where the pressure matches that of the suction chamber. ......... .. ............... ...... ........................................... .. ........................................................... .... ......... ......... .... .. ....... .... ..... . Chapter 2. Modeling and design The motive fluid at section 1 is mixed with the low pressure suction fluid at section 2. The pressure at both sections 1 and 2 is 0.1 atm. The mixing produces a combined supersonic flow at section 3. The mixed flow is passed through a converging-diverging nozzle, and it exits at section 4 where the pressure is atmospheric. Section 0 Section 1 Section 3 Section 4 Motive fluid w0 w11 Control volume Suction fluid from chamber to be pumped down Discharge to I w4 atmosphere W2 Section 2 Figure 2.20. Schematic for ejector pump analysis To solve this open-ended problem of determining the suction and motive fluids' mass flow rates that would allow the realization of the above pressure ratio, the following algorithm is used. First, the depth of all sections is fixed at 3 mm to simplify future fabrication of the pump. Notice that this is also the depth of the reactor and nozzle of the current device. The width of section 0 (wo) is that of the exit section of the present steam generator's nozzle. The width of section 2 (w2) is fixed at a value comparable to that of section 1 (wi), which is determined as described below. The width of section 4 (w4) is matched to that of section 3 (w3), which is equal to the sum of wi and w2. Different 73 Chapter 2. Modeling and design combinations of motive and suction fluid mass flow rates are then tried, in order to find a combination that leads to atmospheric pressure at section 4. Iteration is required here between this analysis and the steam generator models presented earlier, because the motive fluid mass flow rate is needed to model and design the steam generator. The steam generator models are used to determine the conditions at its exit. Those conditions, which correspond to section 0 in the above figure, are needed to analyze the pump operation. To study the above system, some assumptions are made to simplify the modeling. Following the mixing analysis in [51], a one-dimensional compressible flow model is used. The model is described briefly below; more detailed derivations can be found in [51]. Constant specific heats are assumed. The system walls are taken as adiabatic, and wall shear stresses are neglected. The flow is therefore assumed isentropic everywhere except in the mixing region, which is denoted by the dashed rectangle (control volume) in Figure 2.20. The steam generator is considered to be operating at the design conditions. The suction fluid is assumed to be stagnant air at 250C. The conditions at section 0 are known from the reactor and nozzle models. The conditions at section 1 are determined as follows. The stagnation pressure is that at section 0, due to the isentropic flow assumption. The static pressure is 0.1 atm. The Mach number M2 can be determined by using the static-stagnation pressure relation (2.34). The area Al can then be found by applying the isentropic M-A relation between sections 0 and 1: Chapter 2. Modeling and design M0 A_ 1 +Y 1 02 M1 A1 yo+'J m2M1M 0M (1±1 1+ (2.44) n+1((2.44 2 1 In (2.44), the specific heat ratio (y) has the same value at sections 0 and 1. This ratio and the other physical properties (specific heat and gas constant) of the flow at those sections are determined as explained in the nozzle model. Once A2 is determined, wi can be found by dividing Al by the depth. The conservation of mass, energy, and momentum are then applied to the control volume in Figure 2.20 to determine the conditions at section 3. Conservation of mass gives: th3 (2.45) =rh1h +rhz2, where inis the mass flow rate at each section. Conservation of energy implies that rjc Tt3 = p1Tt1 +rhzic pzTtz .fCPp , (2.46) where Te and cp are the stagnation temperature and specific heat, respectively, of the fluids at each section. The physical properties of air at section 2 are determined using property tables [35]. The specific heat and the gas constant (which is needed later to calculate the specific heat ratio) at section 3 are found by mass-averaging the respective properties of the motive fluid at section 1 and the suction fluid at section 2. The stagnation temperatures at sections 1 and 2 and all the mass flow rates in (2.46) are known. This allows the evaluation of Tt3. The conservation of momentum implies that Chapter 2. Modeling and design P3 A3 +r 3v 3 = (P1A1 +rhiV1 )+(P2A2 +r 2 v 2 ), (2.47) where P,A, and V are, respectively, the static pressure, area, and velocity at each section. By using some algebraic manipulation following [51] and realizing that the flow at section 2 is approximately stagnant, (2.47) can be expressed as: rh3 cp3 y3 -1 t3 h 1+yM2 -1+P2A2- c Ci 1(y -1) 1+ (yyM yM 3 1+yM 2 i 1 (y-1)M 1 2 L_ 2 (2.48) i The above expression can be used to evaluate M3. With M3 , rn3 , and Tt3 all known, the stagnation pressure Pt3 can be determined by applying (2.39) at section 3. Note that A3 is the sum of the areas Al and A2 . To determine the conditions at section 4, the isentropic M-A relationship is applied again between sections 3 and 4 to calculate M4: j 1+ M3 A3 MA 23 1(Y3+1) 1 m2231 + M4A4 M (2.49) 1 r4+1) 1 1 + Y42 1 M2) 4 The stagnation pressure at section 4 is the same as that at section 3 due to the isentropic assumption. With the Mach number and the stagnation pressure both known, (2.34) can then be used to find the static pressure at section 4. This pressure is then compared with atmospheric pressure. A combination of motive and suction mass flow rates that produces atmospheric static pressure at section 4 is given in Table 2.3. The table also lists the widths of the different pump sections. Chapter 2. Modeling and design To calculate the pumping capacity per unit volume, the pump's external volume has to be estimated. The overall width and depth of the pump are taken to be the same as those of the current device, due to the similarity in the internal lateral dimensions between the steam generator and the proposed pump. The entire pump, however, must be longer than the current device, since the flow from the device has to be expanded before mixing with the suction fluid, and then the combined flow has to be passed through another nozzle. The exact overall length depends on the detailed design of the pump, which is not covered here. An approximate value of twice the external length of the steam generator is used. If the volume required for 0-ring installation is included, the overall pump volume is about 3.2 cm3, which results in a pumping capacity per unit volume equal to 10-2 g/s/cm 3, as given in Table 1.1. The volume for 0-ring installation is necessary for packaging, but can be reduced by stacking multiple pumps. If this volume is not included in the above calculation, the pumping capacity per unit volume increases to 1.33x10-2 g/s/cm 3. Ifthe package volume is used as a reference instead of the pump volume, the capacity per unit volume will decrease. Notice, however, that a package-to-pump volume increase of at least two orders of magnitude is needed to produce a lower pumping capacity per unit volume than the state of the art. Such an increase is unlikely with a properly-designed package. Moreover, the ratio of package to overall pump volume can also be reduced by stacking multiple pumps in one large package. Chapter 2. Modeling and design Table 2.3. Ejector pump parameters Parameter Value Mass flow rate of suction fluid (kg/s) 3.2x10-s Mass flow rate of motive fluid (kg/s) 17.5x10-5 WO (mm) 0.3 Wi (mm) 0.775 W2 (mm) 1 W3 (mm) 1.775 W4 (mm) 1.775 CHAPTER THREE 3 FABRICATION 3.1 Overview Microfabrication was carried out at the Microsystems Technology Laboratories (MTL) at MIT. A schematic section-view of a fabricated device is shown in Figure 3.1. The device consists of 5 layers. Layers 1 through 4 are made from double-side-polished (DSP) silicon wafers (Ultrasil Corp.), and Layer 5 is a capping layer made from a Pyrex wafer (Bullen Inc.) to provide optical access to the device during experiments. The wafers for Layers 1 and 5 are about 0.5 mm thick each, whereas those for the remaining layers are about 1 mm thick each. All wafers are 6" in diameter. Each of the silicon wafers was purchased with a 0.5 tm layer of oxide thermally grown on each side to protect the surfaces during processing in order to allow successful bonding later. Layer 1 contains the inlet holes for the peroxide and catalyst streams along with thermocouple insertion holes to measure the silicon wall temperature. Layer 3 contains through holes and part of the reactor and nozzle depths. Layers 2 and 4 are identical, and contain the 100 m deep mixers on both sides of each layer in addition to the remaining deep-etched features. The silicon wafers were processed via alternating steps of cleaning, photolithography, etching (wet and/or dry), and in some cases, the deposition and patterning of additional oxide layers as masks. These wafers were then bonded together using fusion bonding, and the silicon stack was finally bonded to the capping Pyrex wafer via anodic bonding. Individual devices were obtained by diesawing. The entire fabrication 79 iwmw- -- "WffMr" -- - - - - Chapter 3. Fabrication process uses 4 masks in 16 lithography steps. The following sections describe the fabrication process of each layer and the bonding steps. A detailed process flow is provided in Appendix A. LAYER 5 Peroxide Inlet Port Catalyst Inlet Port Through holes and mixers Mixers (four) Reactor Nozzle Reactor and nozzle Figure 3.1. Schematic section-view of a microfabricated device 3.2 Wafer-Level Die Layout The processed wafer stack contains 28 dies, of which 14 have the "nominal" design described in Chapter 2. Out of the remaining 14 dies, 8 have slightly modified designs to allow the identification of any faulty section(s) in the event that the nominal devices failed to operate successfully, and 6 are test dies designed to characterize the pressure drop and mixing quality of the mixer sections only. Chapter 3. Fabrication The eight full dies with slightly modified designs are distributed as follows. (Only the features different from the nominal design are listed). * Two dies with shorter reactors (10 mm long), in case the nominal reactor design was too long, thus causing significant heat losses. * Two dies with longer reactors (20 mm long), in case the nominal reactor design was too short, thus leading to insufficient residence time for reaction. e Two dies with mixers having straight instead of zigzag channels, in case the zigzag channels produced a very large pressure drop. e Two dies with mixers having 6 instead of 12 wall protrusions, in case the 12 protrusions produced a very large pressure drop. The six mixer-testing test dies have no reactor or nozzle sections. They only contain the inlet ports, the mixers, and an extra outlet port. These dies are distributed as follows: * Two test dies with the nominal mixer design described in Section 2.3.3. " Two test dies with straight instead of zigzag mixer channels. " Two test dies with 6 instead of 12 protrusions on the mixer walls. To enable the use of the test dies, a package with an extra port was also manufactured in addition to the standard package shown in Figure 2.18. The package variations are described in Section 4.3. Chapter 3. Fabrication 3.3 Alignment Marks Since the device consists of many bonded wafers, it was necessary to transfer alignment marks to the silicon wafers before patterning the functional features. The masks used in the subsequent processing steps have complementary features that were aligned to these marks. A summary of the process flow for transferring these marks is shown in Figure 3.2. The wafers were first subjected to photolithography (resist coating, prebaking, exposure, developing, and post-baking) using thin photoresist and the mask "Alignment Marks" shown in Figure 3.3, with a die-level zoom shown in Figure 3.4. The oxide layer was then dry-etched, followed by etching of the silicon to a depth of 0.25 [tm. These steps were performed on both sides of every silicon wafer. Finally the wafers were piranha-cleaned. The mask in Figure 3.3 contains two sets of alignment marks: one set is for frontback alignment when processing wafers that are patterned on both sides, and the other set is for aligning the different wafers during the fusion bonding step. Zooms of the alignment marks are shown in Figure 3.5 . The mask also contains stripes that are used to guide the diesawing process, with labels (e.g. "1"in Figure 3.4) to distinguish the different dies described in Section 3.2. Chapter 3. Fabrication 1. Start with a DSP silicon wafer with 0.5 pm oxide on each side. 2. Perform photolithography on both sides using the mask "Alignment Marks." 3. Dry-etch the oxide on both sides. 4. Dry-etch the silicon on both sides to a depth of 0.25 jim, and clean the wafer. * Silicon * Silicon oxide Photoresist Figure 3.2. Process flow summary for transferring the alignment marks ............ .... . ..... .. . ... ..... ...... Chapter 3. Fabrication Figure 3.3. "Alignment Marks" mask Figure 3.4. Rotated die-level zoom of the mask "Alignment Marks" .... .. .. .... .. .. ......................... .. ..... .......... ....... .. .......... Chapter 3. Fabrication Wafer bonding alignment mark . . . . . . ................................................ . Top-bottom alignment mark Figure 3.5. Zooms of the wafer-bonding and the top-bottom alignment marks 3.4 Layer 1 A summary of the process flow for patterning Layer 1 is shown in Figure 3.6. The top side of the wafer was first subjected to photolithography using thick photoresist and the mask "Holes" shown in Figure 3.7, with a die-level zoom shown in Figure 3.8. Resist was 85 Chapter 3. Fabrication also coated on the bottom side for protection. The top oxide layer was then dry-etched to a depth of 0.5 [rm until it was cleared from the exposed areas. The wafer was then mounted on a quartz substrate and deep-reactive-ion-etched through the entire wafer thickness, followed by piranha cleaning. 1. Starting with a 0.5 mm thick with patterned wafer alignment marks, perform photolithography on the top side using the mask "Holes." 2. Dry-etch the oxide on the top side. 3. DRIE the silicon through the entire wafer depth and clean the wafer. Silicon Silicon oxide Figure 3.6. Process flow summary for Layer 1 Photoresist ....................... . ........ ... ...... .... .... - . .....- -... .......... . ......... U::r .................... ....................... Chapter 3. Fabrication .. .. ....................... .................... . . Figure 3.7. "Holes" mask with insert showing the complementary top-bottom alignment features ........... ........... - - - --. ................. ... ....... Chapter 3. Fabrication Figure 3.8. Rotated die-level zoom of the mask "Holes" 3.5 Layer 3 A summary of the process flow for patterning Layer 3 is shown in Figure 3.9. This layer's fabrication is very similar to that of Layer 1 with one major difference. Since the wafer in Layer 3 is twice the thickness of that in Layer 1, one coat of photoresist is not enough to protect the thicker wafer during the silicon through-etching. Therefore, an extra layer of 4 im thick oxide was deposited on both sides of the wafer prior to coating with photoresist. The top oxide layer was used as a hard mask during etching, and the bottom layer was deposited to minimize the wafer bow that could prevent successful bonding later. The other steps are very similar to those used to pattern Layer 1. Photolithography was carried out using the mask "Deep Features" shown in Figure 3.10, with a die-level zoom shown in Figure 3.11. Notice that in this mask, the reactor is defined by etching its outline in a "halo-shaped" fashion instead of etching the entire reactor area. At the end of the etch, the outlined piece falls out, clearing out the full reactor area. The width of the halo is about 100 pim, which is closer in size than the full reactor length and width are to most of the other features in the mask (and in the other mask used for Layer 4). This was done on purpose to ensure etch uniformity, since DRIE causes features with very different in-plane dimensions to be etched at different rates. ........................................... .......... ..... ...... ... ................. Chapter 3. Fabrication 1. Starting with a 1 mm thick with patterned wafer alignment marks, deposit 4 pm thick oxide on both sides. 2. Perform photolithography on the top side using the mask "Deep Features." 3. Dry-etch the oxide on the top side. 4. DRIE the silicon through the entire wafer depth and clean the wafer. ~kY * Silicon * Silicon oxide Figure 3.9. Process flow summary for Layer 3 Photoresist .. ........................................................................................................ Chapter 3. Fabrication Figure 3.10. "Deep Features" mask Figure 3.11. Rotated die-level zoom of the mask "Deep Features" Chapter 3. Fabrication 3.6 Layers 2 and 4 Layers 2 and 4 are identical, and a summary of their fabrication process flow is given in Figure 3.12. These layers have two sets of features of different depths: the 1 mm deep reactor, nozzle, and hole features that extend through the entire wafer depth, and the 100 prm deep mixer features on both sides of each wafer. The top-bottom symmetry of each of Layers 2 and 4 and the symmetry of these two layers about Layer 3 were designed on purpose to facilitate the fabrication process and minimize the number of masks required. Even though the mixers are relatively shallow compared to the remaining features, they are not shallow enough to be completely and conformally covered by photoresist if they were patterned and etched in the silicon first. This difficulty necessitated a "nested mask" approach that used a combination of photoresist and oxide layers as masks. By using two masking materials, it was possible to complete all of the patterning of these masking layers before etching any features in the silicon. The complete processing is described below. Fabrication started by depositing 2 ptm of oxide on the top and bottom sides of each wafer. Both sides were then coated with thick photoresist and subjected to photolithography using the mask "All Features" shown in Figure 3.13, with a die-level zoom shown in Figure 3.14. The oxide layers on both sides were then dry-etched, and the wafers were piranha-cleaned. Following this step, the top surface was coated again with thick photoresist, which conformally covered the shallow oxide layer. Photolithography was then carried out using the mask "Deep features" that was shown in Figure 3.10 and that was used to pattern Layer 3. The bottom silicon surface was then etched to a depth of 100 pm, 91 Chapter 3. Fabrication producing the shallow mixers on that side. The wafer was subsequently mounted on a quartz substrate, and the top silicon surface was etched to a depth of 800 pm. Finally, the wafer was piranha-cleaned, and the silicon was etched an extra 100 pm from the top, which simultaneously produced the shallow top mixers and completed the deep features. 1. Starting with a 0.5 mm thick wafer patterned with alignment marks, deposit 2 pm thick oxide on both sides. 2. Perform photolithography on both sides using the mask "All Features." 3. Dry-etch the oxide on both sides and clean the wafer. 4. Perform photolithography on the top side using the mask "Deep Features." Silicon Silicon oxide * Photoresist Figure 3.12. Process flow summary for Layers 2 and 4 (continued on next page) ..... .... .. Chapter 3. Fabrication 5. DRIE the silicon on the bottom side to a depth of 100 pm. 6. DRIE the silicon on the top side to a depth of 800 pm. 7. Clean the wafer, exposing the mixer features on the top side. I M Silicon 8. DRIE the silicon an extra 100 pm from the top side. * Silicon oxide Photoresist Figure 3.12 (continued). Process flow summary for Layers 2 and 4 Chapter 3. Fabrication Figure 3.13. "All Features" mask Diesawing plane for this end of the device Figure 3.14. Rotated die-level zoom of the mask "All Features" Chapter 3. Fabrication 3.7 Wafer Bonding After individual processing, the silicon wafers were fusion-bonded together as shown schematically in Figure 3.15. The silicon stack was then anodically bonded to the Pyrex wafer as shown in Figure 3.16. To allow successful bonding, extra care was taken to ensure wafer surface cleanliness. The silicon wafers were purchased with a thin layer of thermally-grown oxide on both sides to protect the surfaces during processing. Once all the individual wafers were patterned, they were piranha-cleaned and then immersed in 49% HF acid for 5 min to remove the oxide. Immediately following this step, the wafers were RCA-cleaned, then rinsed and dried, and finally fusion bonded. The times taken to transport the wafers from the HF bath to the RCA cleaner, from the cleaner to the spin dryer, and from the dryer to the bonding station were kept as low as possible (less than half a minute each) to minimize the deposition of particulates on the wafer surfaces. Particulates could potentially prevent successful bonding. A more detailed list of some of the practices that were followed to ensure successful bonding is given in Appendix B. The silicon stack was then pressed overnight and subsequently annealed at 9500C for an hour. Toward the end of the annealing step, the Pyrex wafer was piranha-cleaned. Then the silicon stack was taken out of the annealing tube furnace and anodically-bonded to the Pyrex immediately, and the whole stack was again pressed for a few hours. The stack was finally diesawed, with the device ends near the nozzles being cut along the planes shown in Figure 3.14. ....... .. ........ -- - - -- Chapter 3. Fabrication 3. Fusion bonding of Layer 4 to Stack 1-2-3 2. Fusion bonding of Layer 3 to Stack 1-2 1. Fusion bonding of Layer 2 to Layer 1 M Silicon Figure 3.15. Schematic of the fusion bonding process M - .. .............. - - . .. . - ............................................................................................................... .............. ..... . ..... Chapter 3. Fabrication Layer 5 Layer 5 Anodic bonding of Stack 1-2-3-4 to Layer 5 M Silicon I Pyrex Figure 3.16. Schematic of the anodic bonding step Chapter 3. Fabrication Figure 3.17 is a photograph of a microfabricated device with the nominal design. Figure 3.18 is a photograph of a mixer-testing device. Figure 3.19 is a scanning-electronmicroscope (SEM) image showing a cross- section of the mixers and a wall protrusion. The apparent surface irregularities in Figure 3.19 are a result of diesawing, which was needed to obtain the cross-sectional image. Figure 3.17. Photograph of a microfabricated device with the nominal design 10 mm Figure 3.18. Photograph of a microfabricated mixer-testing device having an extra outlet port in the bottom for fluid discharge, which in the fully-functional devices occurs through the nozzle Chapter 3. Fabrication Wall protrusion Figure 3.19. SEM image of the mixers in cross-sectional view, with an insert magnifying one mixer and showing a wall protrusion CHAPTER 4 4 TEST RIG SETUP 4.1 Overview To test the microfabricated devices, a rig was constructed and used to conduct the experiments. Some of the tasks involved in setting up the test rig were designing and machining the package in which the device sat during the experiments, implementing a method for supplying controlled amounts of the peroxide and catalyst streams, and interfacing the supply mechanism to the package using fittings, seals, valves, and piping. A large part of the effort that went into all these tasks was to ensure safe operation due to the oxidizing nature of high-test hydrogen peroxide, its strong reactivity upon contamination by a wide range of materials, and its potential to release lots of heat during decomposition. 4.2 Hydrogen Peroxide and Safety High-test hydrogen peroxide is a strong oxidant. For example, if 1 L of 90% HTP at room temperature decomposes in an adiabatic closed system, it will produce 5000 L of gas (oxygen and steam) at 7400C [69]. The high temperatures generated pose fire hazards, and the large increase in volume can lead to explosions and detonations. This danger is intensified by the fact that many common materials contain significant amounts of catalysts that can cause the decomposition of peroxide upon contact. Some examples of these contaminant substances include wood flooring, rags, and standard clothing (cotton, wool, leather, etc...), in addition to many commercial materials such as copper, brass, iron, bronze, lubricating oil, nickel, gold, etc.... Peroxide is inert only to a limited number of 100 Chapter 4. Test rig setup materials, including clean glass, passivated stainless steel, Teflon and its derivatives, PEEK, and some Markez and Viton rubber grades. High-test peroxide also poses significant health hazards because of its reactivity. Skin exposure can cause blistering and burns. Eye exposure can cause corneal ulceration and can lead to blindness. Inhalation may cause irritation to and inflammation of the nose and throat. Accidental swallowing can lead to corrosion and internal bleeding of the gastrointenstinal tract which could be life-threating. The above dangers necessitate following certain practices when storing or handling hydrogen peroxide to prevent confining, contaminating, or contacting it. A significant part of the task of setting up the test rig consisted of planning and executing a number of safety provisions in consultation with the peroxide vendor (FMC chemicals) to ensure safe experimentation. These are described below. Before purchasing the peroxide, a safety representative from the vendor company was invited to inspect the lab and confirm its compliance with peroxide-specific safety measures. Part of this procedure consisted of the representative giving a safety presentation to all lab users about the possible hazards of using peroxide and ways to counter them. The peroxide was then purchased in a special vented 1 gallon glass bottle. A separate vented cabinet with a lock, shown in Figure 4.1, was used for storing this bottle, which was placed inside a 4 gallon stainless steel secondary container. Unused peroxide was never added back to the glass bottle at the end of experiments, but was instead diluted to about 3%concentration by adding DI water and then disposed of in the lab sink. 101 ...... ...... .. ....... .... . ...... . . ........ . Chapter 4. Test rig setup Storage cabinet Vented-cap glass bottle containing peroxide I: Vents Secondary stainless steel container Figure 4.1. Peroxide storage in lab Personal protective gear was worn during any operation involving peroxide transfer or usage. This gear consisted of safety goggles, a polycarbonate full-face mask, and neoprene-based overalls, apron, gloves, and boots. The safety gear is shown in Figure 4.2. Figure 4.2. Safety gear The experiments were carried out inside a fume hood to prevent exposure to peroxide fumes. The testing setup was placed in a large stainless steel tray inside the hood 102 Chapter 4. Test rig setup to capture any spillage. Since FMC Chemicals recommends using water to extinguish any fires resulting from peroxide contamination or decomposition, a water hose was installed and attached to the fume hood. The hood was also close to an eyewash and safety shower station for rinsing in the event of eye or body exposure to peroxide. Blast shields made from thick polycarbonate were attached to the hood's sash during the initial experiments. These were disassembled later due to the difficulty of accessing the fume hood (to reach the test rig components that needed manual adjustment, such as the plug valves described later). To facilitate the use of blast shields in future tests, it is suggested to automate the experiments and run them remotely, as described in Section 6.2. The test rig components that came into contact with peroxide were all chosen to be made of compatible materials, and were cleaned, passivated, and conditioned prior to usage. The system was always thoroughly flushed with DI water at the beginning and end of each experimental run. Pressure relief valves were installed to prevent pressure buildup due to any unintended peroxide decomposition outside the device during the experiments. 4.3 Package After an extensive materials search, Rescor 914 from Cotronics Corp. was selected as the package material. This is a dense and vacuum-tight glass ceramic composite that is readily machinable using standard cutting tools. This material has a low thermal conductivity, tight machining tolerance, and a high melting point, as shown in Table 4.1 which compares the required package properties (from Section 2.8) with those of Rescor 914. In addition, this material is compatible with peroxide. This fact was demonstrated experimentally by soaking a sample of Rescor 914 for 3-4 hours in 30% peroxide and 103 Chapter 4. Test rig setup observing very little reaction. The logic behind using 30% concentration was that this concentration was high enough to provide a visual indication of incompatibility in the form of bubbles. At the same time, 30% concentration was low enough to ensure safety, by producing much lower reaction temperatures and gas volumes than 90% concentration in the event of decomposition. All these characteristics made Rescor 914 suitable as a package material. Table 4.1. Comparison of the required package properties and those of Rescor 914 Property Thermal conductivity (W/m-K) Required value (from Section 2.8) s 0.8 - 3.2 Melting point (OC) 400 Tolerance (mm) s 0.05 Value for Rescor 914 0.4 -500 ~0.05 The package was manufactured at Ferro-Ceramic Grinding Inc., which specializes in the machining of ceramics. The actual package is shown in Figure 4.3. Two views of each of the top and bottom parts are shown. The "inner" surface of each part is the surface that comes in contact with the device. The thermal resistance of the whole package was found to be on the order of 8 K/W using (2.43). Zirconia screws and nuts (Ceramco Inc) with low thermal conductivity were first used to clamp the two parts of the package together with a minimal drop in the package's thermal resistance due to clamping. These screws, however, were found to be too brittle to allow tight fastening of the package, and they were later replaced with stainless steel screws (McMaster-Carr). The package-to-device interface 104 Chapter 4. Test rig setup consisted of 0-rings made from Markez Z1030 (Marco Rubber). This material is compatible with both the high-test peroxide and the ferrous chloride catalyst and can sustain the predicted device temperatures. Top part - inner surface Bottom part - inner surface - Top part - outer surface Bottom part - outer surface 10mm Figure 4.3. Machined package made of Rescor 914 In addition to the above "standard" package design, two modified designs for the bottom part were also manufactured from the same material and used with the standard top part. One of the modified bottom designs was machined after finding out that thermocouple insertion through the original bottom half of the package was very challenging. In the original design, the device and the package are first assembled, and then the thermocouple wire is inserted. The thermocouple must first pass through the 12.7 mm 105 Chapter 4. Test rig setup deep holes in the package before it reaches the device surface. Then, the thermocouple has to be inserted through the narrow device holes, whose diameters are designed to match those of the thermocouple wires to achieve an interference fit. This task was found to be very cumbersome and time-consuming. The new design, shown in Figure 4.4, facilitated thermocouple use and insertion by having long slits along its interior surface instead of round through holes terminating at the device's surface. With the new design, the thermocouples are inserted into the device, bent, and then passed through the slits before clamping the package. This makes the insertion process easier. Figure 4.5 is a schematic explaining the thermocouple insertion methods for the original and modified designs. Figure 4.4. Modified package bottom half for facilitating thermocouple insertion 106 .: .... ........ ...... .... ....... . . ................ I.............................................. I............... Chapter 4. Test rig setup (a) Original package design. In this design, the thermocouple is attached to the device after assembling the package. The thermocouple must pass through the 12.7 mm deep holes in the package before it can be inserted into the narrow (0.5 mm diameter) device holes. Narrow device hole Deep package holes Bent thermocouple, (b) Modified package design for easier thermocouple insertion. In this design, the thermocouple is attached to the device before assembling the package. The thermocouple is inserted into the device holes, bent, and then passed through the slits along the package surface before clamping the package. Figure 4.5. Schematic explaining the difference in the thermocouple insertion methods between the original and modified designs of the bottom half of the package The second modified design of the bottom half of the package, shown in Figure 4.6, allowed the usage of the mixer-testing devices by having an extra outlet port. This design 107 .. .... ................... :::: ............... Chapter 4. Test rig setup had no thermocouple insertion features. Note that in both Figures 4.4 and 4.6, the red discoloration of the package was due to the settling of the post-catalysis ferrous chloride residue and its possible reaction with the package material. Figure 4.6. Modified package bottom half for usage with the mixer-testing devices 4.4 Test Rig Components The main components of the test rig are shown schematically in Figure 4.7. Syringe pumps (Chemyx Inc.) were used to control the mass flow rates of the peroxide and catalyst solutions. The syringes are made of SS316 stainless steel and have Viton 0-rings. The volumes of the peroxide and catalyst syringes are 100 mL and 20 mL respectively. The plunger force capacity and syringe dimensions were chosen so that the pressures produced inside the syringes were almost the same. Pressure relief and plug valves (Swagelok) with stainless steel bodies and Viton 0-rings, in addition to PEEK check valves (Kinesis Inc), were installed in the flow path of each of the peroxide and catalyst streams. The pressure relief valves were used to prevent peroxide confinement and pressure buildup inside the system in the case of accidental decomposition in the flow paths leading to the package. These relief valves were calibrated to open at ~ 10 atm. The plug valves are manual on/off valves that were used to either connect the streams to the package or to purge each stream 108 Chapter 4. Test rig setup into a separate waste container during shutdown. The check valves were installed very close to the package and were used to prevent either stream from flowing into the piping of the other stream through the package, especially during startup. Stainless steel tees and adapters (Swagelok), PEEK adapters and fittings with stainless steel ferrules (Kinesis Inc), and semi-rigid Teflon tubing (3.2 mm OD, 1.5 mm ID, from Kinesis Inc.) were used to connect these components to one another, to the syringe pumps, and to the package. Figure 4.8 is a photograph of the clamped package connected to the Teflon tubing via the PEEK fittings. All components were cleaned and passivated before exposure to peroxide, as described in Section 4.5. Large glass beakers were used to collect the peroxide, catalyst, and reaction product wastes, which were then disposed of following the EHS (Environment, Health, and Safety) department's waste management procedures. The syringe pumps, plug and pressure relief valves, and peroxide and catalyst waste collectors sat inside a large stainless steel tray to capture spillage and prevent contamination of the rest of the fumehood. Inside this large tray, the syringe pumps were placed on another inverted perforated stainless steel tray to keep them from getting wet if the large tray needed to be flushed with water. The package was raised above the rest of the system and was held in place by a clamping mechanism. The post-decomposition waste collector sat under the package. The tubing was attached to the package from below, and the device's Pyrex layer faced upwards. An optical diagnostic system consisting of a camcorder, lens, and illumination source was used to look through the Pyrex and record videos of the device during operation. Further characterization was obtained using temperature measurements and refractometry as described in detail in 109 Chapter 4. Test rig setup Section 5.3. Figure 4.9 is a test rig photograph taken with the setup placed outside the fumehood to obtain a good picture quality. The beakers for collecting the peroxide, catalyst, and product waste are also not shown. During the peroxide experiments, the setup was inside the hood at all times, and the waste collectors were always used. PRV pressure relief valve PV Plug (on/off) valve waste PRV CV: Check valve High-test Peroxide p PV CV Package PRV fProduct waste collector Ferrous chloride lI~ldt tetrahydra aIL te PV Figure 4.7. Schematic of test rig setup 110 . Chapter 4. Test rig setup C Teflon Package tubing Screws PEEK fittings Figure 4.8. Assembled package, fittings, and tubing Syringe pumps Lens system a Large containment tray Inverted perforated tray Camcorder N Pressure relief and plug valves Package and check valves Figure 4.9. Photograph of the test rig highlighting the main components 111 .. ............. Chapter 4. Test rig setup 4.5 Component Passivation Passivating the components that will handle high-test hydrogen peroxide is the process of removing contaminants (such as iron or other atoms) from the components' surfaces. This was carried out to reduce the surface activity of the components and to increase their chemical stability upon contact with the peroxide. The process consisted of cleaning the components, then chemically dissolving any contaminants by acid immersion, and finally conditioning the parts with 30% peroxide to form a protective layer. The syringes, valves, connectors, and fittings were all passivated prior to performing any experiments using this procedure [70], which is described in detail below. All components were disassembled into their individual (usually single-piece) constituent parts. The parts were then divided into two large glass beakers, one containing all the metal parts, and the other containing all the nonmetal (thermoplastic and elastomer) parts. Both beakers were filled with high strength ultrasonic cleaner solution and placed in an ultrasonic bath for two hours. After this cleaning process, the contents of both beakers were rinsed thoroughly with DI water. The beaker with metal components was then filled with 70% nitric acid (Transene Inc.), and the other beaker was filled with 35% nitric acid. The parts were immersed in the acid solutions for 1.5 - 2 hours and then rinsed again using DI water. The contents of both beakers were then conditioned with 30% hydrogen peroxide (Transene Inc.) for 12-16 hours, while watching closely for decomposition, which was usually observed as bubble formation. After all decomposition ceased, the parts were cleaned one last time with DI water and reassembled while wearing gloves to prevent contamination. When lubrication was necessary, a special fluorolube (ChemPoint) that was 112 Chapter 4. Test rig setup compatible with peroxide was used. The components were finally air-dried, placed in a sealed plastic bag, and considered ready for usage with high-test peroxide. The components were always handled using gloves from that point onwards. 113 CHAPTER FIVE 5 TESTING 5.1 Overview After the test rig was set up, experiments were carried out to test the fabricated devices. The purpose of these tests was two-fold: to demonstrate successful operation of the devices, and to provide experimental verification of the multi-domain model that was discussed in Chapter 2. The devices' performance was benchmarked using two criteria: the degree of decomposition of the peroxide and the degree of vaporization of the water. Full decomposition and complete vaporization were desired for successful demonstration. Temperature and species' mass fraction measurements were taken to assess the model quantitatively. Characterization tools used include an optical diagnostics system for visual inspection, thermocouples for temperature measurements, and a refractometer for the mass fraction analysis. 5.2 Experiments with Mixer-Testing Devices Before the nominally-designed devices were tested using peroxide, experiments using dyed water were carried out on the mixer-testing devices that have the standard mixer design. The purpose of these experiments was to assess the capability of the setup to handle the desired mass flow rates without leakage and also to characterize the mixing quality. Using dyed water instead of peroxide and catalyst allowed this assessment to be carried out quickly without having to implement all of the time-consuming safety measures required to use peroxide. 114 Chapter 5. Testing The mixers have comparable viscous resistance to the dyed water and peroxidecatalyst solutions due to the similarity in the hydrodynamic properties (such as density and viscosity) of these solutions. The exit pressure in both the mixer-testing devices and the nominally-designed devices is close to atmospheric, and the pressure drop is dominated by the viscous losses in the mixer section in both cases. Therefore, the inlet pressure required to supply a given mass flow rate of water to the mixer-testing device will be close to that required to supply the desired mass flow rate of peroxide and catalyst to the regular device. The objective here was not to quantitatively measure the supply pressure, but rather to qualitatively confirm whether it could be handled by the various setup components (syringes, valves, 0-rings, etc...) without leakage or failure. For this purpose, two water streams were flowed through the two inlet ports of the mixer-testing device at different flow rates. No syringe pump stalling and no leakage were observed in the system for total mass flow rates up to at least 2-3 times the design value. To test the mixing quality, yellow and blue dyed water streams were flowed through the mixer-testing device at the design mass flow rates of the peroxide and catalyst solutions, respectively. The different colors of the water streams allowed the assessment of the mixing quality using visual inspection. Again, the objective was to obtain a qualitative rather than a quantitative assessment. The blue-yellow dyed water system and the peroxide-catalyst system had similar hydrodynamic properties (which influence the mixing flow regime, as described in Section 2.3) and binary diffusion coefficients. Matching of the flow rates and physical properties of the two systems ensured accurate simulation of the 115 Chapter 5. Testing mixing under design conditions. A magnifier was used to look through the Pyrex. A green solution was observed at the exit of the mixer section, which confirmed successful mixing. 5.3 Experiments with Nominally-Designed Devices 5.3.1 Experimental conditions To demonstrate successful operation, the nominally-designed devices were tested using high-test peroxide and a catalyst solution. First, sodium permanganate was selected as the catalyst, since its activity is reported to be the highest among peroxide catalyst solutions [43]. The permanganate solution, however, was quickly found to clog the devices due to the large insoluble particles that it contained. It was then replaced with ferrous chloride tetrahydrate solution, which is reported to have a moderately high activity without containing large insoluble particles. With the ferrous chloride, no clogging was observed during the experiments. The devices were tested at the design conditions, namely by flowing a 90% HTP mixture at 7.0 mL/min and an 80% saturated ferrous chloride tetrahydrate solution at 0.5 mL/min. These conditions corresponded to a total mass flow rate of 17.5x10-5 kg/s and an overall initial peroxide mass fraction of 83%. Apart from demonstrating successful operation, the purpose of the experiments was also to provide comprehensive verification of the model. To that end, two other experiments were carried out using the same mass flow rate but different overall initial peroxide mass fractions: 74% and 71%. These two values were chosen because they bound the range of nonlinear behavior seen in the parametric study results (e.g. Figures 2.11, 2.12, and 2.14), and together with the design 116 Chapter 5. Testing conditions could provide very useful insight into the model's validity. To obtain the lower peroxide mass fractions, the 90% HTP mixture was diluted by adding DI water while making sure that two quantities were kept constant. The first was the catalyst flow rate, which was kept fixed so that the number of catalyst particles available for facilitating the reaction was not altered between different experiments. The second was the total mass flow rate, which was fixed to ensure successful sonic and supersonic acceleration of the flow in the fixed-geometry nozzle. The input to the syringe pumps is volume rather than mass flow rate. Since the density of the peroxide-water mixture changes with dilution, care was taken in calculating the required volume flow rate of diluted HTP for each experiment. The conditions for all three experiments are shown in Table 5.1. Table 5.1. Conditions during the peroxide experiments on nominally-designed devices HTP stream Catalyst stream volume flow volume flow rate (mL/min) rate (mL/min) Peroxide mass fraction in HTP stream (%) Overall initial peroxide mass fraction (%) Experiment 1 (Design conditions) 7.0 0.5 90.0 83 Experiment 2 7.3 0.5 79.9 74 Experiment 3 7.4 0.5 76.7 71 5.3.2 Visual inspection The device was visually inspected during operation to check for vaporization and to qualitatively verify the model. The inspection was carried out using a camcorder, lens 117 Chapter 5. Testing system, and illumination source to record videos in the case of experiment 1, and by eye in experiments 2 and 3. For experiments 1 and 2, inspection showed that the device experiences three distinct temporal stages after the system is turned on. First, a lot of liquid is emitted from the device, in addition to some gas, as seen in Figure 5.1a. This is because the device walls are still very cold, and consume most of the heat generated by the reaction. As a result, only a small portion of the generated heat is left for vaporizing the liquid species. The walls soon start heating up, and all the liquid inside the device starts getting vaporized, leading to the second stage. The nozzle accelerates the vapor by reducing its static pressure and temperature. During this stage, the temperature attained by the flow due to the reaction before entering the nozzle is still not as high as desired. As a result, the flow expansion in the nozzle produces static temperatures that are comparable to the boiling point of water at the given static pressures, especially near the exit. This causes the vapor to condense inside the nozzle or shortly upon exiting it. The effluent in this stage looks "misty" due to the condensed water droplets carried by the remaining high-speed gas mixture, as seen in Figure 5.1b. In the third and final stage, the device walls reach the desired steady-state temperature dictated by the reaction. The flow temperature is now high enough at the end of the reactor to allow flow expansion in the nozzle without approaching the boiling point of water. As a result, the effluent remains completely gaseous with no visible condensation near the exit, as seen in Figure 5.1c. Even though the effluent is not visible in this figure, the device performance at this stage is actually the best among all three stages, since visibility indicates condensation. In experiment 1, the first two stages (combined) lasted for about 30s, and the third (steady-state) stage extended for the 118 Chapter 5. Testing remainder of the syringe pump cycle (about 11.5 minutes). This visual assessment served as a first indicator of the complete vaporization of the effluent at steady state for experiments 1 and 2, as predicted by the model. For experiment 3, after the initial startup stage in which liquid bubbles were emitted, the effluent changed into the misty form mentioned above. This is due to some condensation taking place in the nozzle, as described in the previous paragraph. For this case, however, the effluent remained in the misty form until the end of the experiment. This observation agreed with the model, which for the conditions of experiment 3 predicted condensation inside the nozzle at steady state. (a)Startup stage (b) Intermediate transient stage Bubbles - Misty effluent 4 mm (c) Steady-state stage with no visible condensation Figure 5.1. Frame-grabs of the device during experiment 1 showing the effluent in the different stages: (a)startup, (b) intermediate transient period, and (c) steady state 119 Chapter 5. Testing 5.3.3 Refractive index analysis Refractometry was used to study the extent of peroxide decomposition. The value of the refractive index of a liquid peroxide-water mixture changes when the fractions of peroxide and water change. The refractive index can therefore be measured to determine the mass fraction of peroxide in the mixture. For this purpose, a hydrogen peroxide refractometer (Atago Co., model PAL-39S) was used. The refractometer takes a small sample of an aqueous peroxide mixture and passes a light beam through it to measure its refractive index, which is then correlated with the peroxide mass fraction. The instrument can be used with mixtures containing up to 50% peroxide by mass, provided that the only other compound in these mixtures is water. To perform the above analysis on the gaseous effluent during experiments 1 and 2, the procedure shown in Figure 5.2 was used. The effluent was captured in a glass beaker at a distance where all the solid catalyst had fallen off due to gravity. This distance was determined using trial and error, by capturing the effluent and observing its color after condensation. Any dark brown color was associated with the catalyst, so the distance from the device to the beaker was increased until the condensate became clear. Once the correct distance was determined, the effluent was captured in a clean cold beaker and allowed to condense. A sample of the clear condensate was then analyzed using the refractometer to determine the amount of peroxide present. Figure 5.3 plots the experimentally-measured peroxide mass fractions in the effluent for experiments 1 and 2. The figure also compares the measured values to the simulation results at the reactor exit. For complete decomposition in the reactor, the mass fraction of peroxide is ideally zero at both the 120 Chapter 5. Testing reactor and nozzle exits. Very good agreement is observed between the model and experiments 1 and 2. This agreement validates the model and confirms the complete decomposition of peroxide down to an initial mass fraction of about 74%, as predicted. For experiment 3, it was not possible to obtain a clear condensate in the beaker. The condensate always had a brown color, which indicated the presence of catalyst. Unlike experiments 1 and 2 where the solid catalyst falls off from the gaseous products, some catalyst is always dissolved in the liquid-gas effluent of experiment 3. The refractometer readings are only meaningful when the mixtures analyzed consist exclusively of hydrogen peroxide and water. This was not the case for experiment 3. As a result, it was not possible to obtain an accurate measurement of the mass fraction of undecomposed peroxide for this experiment using the above approach. Nevertheless, the refractometer was used for qualitative model verification. A nonzero (-10%) value was measured for the peroxide concentration. The color of the condensate provided qualitative proof of the presence of liquid catalyst in the effluent. This confirmed the model-predicted conclusion that condensation occurred inside the device under the conditions of experiment 3. The fact that the refractometer measured a nonzero value is consistent with the presence of liquid catalyst in the effluent as well as with the presence of undecomposed peroxide, as was predicted by the model. 121 ..... .. ..... ... ......... ................... ............. ................ Chapter 5. Testing 1.Capture the effluent in a cold glass beaker at a distance where all the solid catalyst has fallen off due to gravity. 2.Cap the beaker and let the effluent condense. 3. Pour about 0.2 mL of the condensate into the refractometer seat and analyze it. Figure 5.2. Procedure used to perform the refracive index analysis on the effluent Owrall initial peroxide mass fraction (%) Figure 5.3. Plot of the peroxide mass fraction at the reactor exit (from the simulation) and at the nozzle exit (from experiments 1 and 2) versus initial peroxide mass fraction 122 Chapter 5. Testing 5.3.4 Device wall temperature measurements Thermocouples were used to measure the temperatures of the silicon walls of the device during the experiments. Both grounded and exposed junction styles were tried with the new package design that was shown in Figure 4.4. In the grounded variety, the thermocouple wire is completely covered by a sheath to which the junction is physically attached. This sheath, and not the junction, comes into direct contact with the medium whose temperature is being measured. In the exposed variety, the junction protrudes outside the tip of the sheath and contacts the medium directly. Exposed thermocouples offer faster response and potentially more accurate measurements, but are more susceptible to corrosion, especially in wet media. When grounded thermocouples were used, the measured temperatures were found to be less than those predicted by the model. This was attributed to the fact that the thermocouple sheath contacted both the device wall and the interior package surface, and therefore equilibrated at some intermediate temperature. Despite the discrepancy, this measurement confirmed that the wall was almost isothermal, since temperatures measured at different locations along the device length all agreed to within 50C. In drawing this conclusion, it is implicitly assumed that the contact configuration was identical for the measurements that were taken at different locations. This is a reasonable assumption, since the type and diameter of the thermocouple wire used, the device hole geometry, the width of the slit in the package, and the manner of insertion were all the same between the different locations. When exposed thermocouples were used, it was not possible to make any temperature measurements because the thermocouple junctions got attacked by the catalyst residue during startup. An 123 Chapter 5. Testing accurate measurement was finally obtained by bringing the grounded thermocouple tips into contact with the exposed surface of the device at the exit section. Figure 5.4 plots the experimental results obtained using this method and compares them with the wall temperatures predicted by the parametric study. The uncertainty in the measured values is due to the thermocouple error limits. The measured temperatures agree with the model predicitions to within 2%, providing further model verification. It should be noted that the simulation curve in Figure 5.4 follows the trend of the effluent static and stagnation temperatures explained in Section 2.6. This similarity in shape further justifies the approximate assumption of linear proportionality between wall and effluent temperatures that was made in Section 2.6 to justify the shapes of the effluent temperature curves. 650Simulation 600- Experiments + 550E 500- 450- 400I 71 I I I 1 I I | 1 I | 72 73 74 75 76 77 78 79 80 81 82 83 Overall initial peroxide mass fraction (%) Figure 5.4. Plot of the silicon wall temperature from the simulation and the experiments versus initial peroxide mass fraction 124 Chapter 5. Testing 5.3.5 Effluent temperature measurements Grounded thermocouples were also used to measure the effluent temperature at a distance of 1-1.5 mm from the nozzle exit. The model variable against which this measurement is compared is the "adiabatic wall temperature" Taw of the flow at the thermocouple location [65]. This quantity describes the temperature of a heated highspeed flow when it comes to rest at a solid surface placed in its way. The temperature Taw therefore represents the maximum temperature that the solid can attain, and it provides an upper bound for the thermocouple reading. For the present range of measured temperatures, the thermocouple error specification is no larger than a few degrees, which suggests that the difference between the reading and the flow's (adiabatic wall) temperature should be small. The quantity Taw is given by: 1 rv2 Taw = Texp +-- _x. 2 cP (5.1) In (5.1), Texp and Vexp are the expanded flow's static temperature and velocity, respectively, at the thermocouple location, r is the recovery factor, and c, is the average specific heat. Due to viscous losses, not all of the flow's kinetic energy is converted to thermal energy when the flow comes to rest on the solid surface. The recovery factor is a measure of the fraction of the kinetic energy that is recovered as thermal energy. For inviscid flow, the recovery factor is 1, and the adiabatic wall temperature becomes the stagnation temperature at the location of interest. More generally, for turbulent gas flows such as the effluent in experiments 1 and 2, the recovery factor is given by [65]: 125 Chapter 5. Testing r = Pr1 /, (5.2) where Pr is the Prandtl number of the gas mixture. For (5.1) and (5.2) to hold, C,and Pr must be evaluated at the reference temperature Tref given by [65]: Tref = Tex, +0.5(Toid - Texp)+0.2 2(Tw - Texp ), (5.3) where Tsolid is the actual surface temperature of the solid placed in the flow. For the current experiments, both Taw and TsoIid are expected to be very close to the temperature Tmeas measured by the thermocouple. This allows Tref to be approximated by: Tref = Texp +0 .7 2(Tmeas - Texp) . (5.4) The consistency of the assumption that Taw and Tmeas are not very different is checked after calculating Taw. For experiment 3, the effluent mixture is liquid-gas. Expression (5.2) is therefore invalid for the conditions of this experiment, and the recovery factor is varied between 0 and 1 in the corresponding calculation. The velocity Vexp is determined by applying the conservation of mass between the nozzle exit and the thermocouple location, assuming that the bulk one-dimensional flow approximation holds in this region. This results in the expression: (PVA)e =(PVA)exp, (5.5) where the subscript e refers to the flow conditions at the nozzle exit section, and exp refers to the expanded flow conditions at the thermocouple location. The densities at these locations are almost identical. This can be seen from the ideal gas law. The static pressure at both locations is ambient. The variation in the static flow temperature between the two 126 Chapter 5. Testing locations is small. This is because the timescale of heat transfer from the flow to the nearby air, which is ultimately dominated by conduction in the still air, is much larger than the timescale of motion of the high-speed flow itself. The densities can therefore be dropped from (5.5), making the velocity ratio inversely proportional to the area ratio: Vexp Ae Ve Aexp (5.6) The area and flow velocity at the nozzle exit can be determined from the nozzle model. The flow velocity at the thermocouple location can therefore be determined if the flow area at that position is known. This area is determined using the experimental findings of Quinn [71], who studied the free expansion of a turbulent air jet exiting from a rectangular channel. In this study, the jet half-velocity width and depth, which together provide a measure of the change in the jet area due to the free expansion, were evaluated at different distances from the channel exit. Plots were then generated in [71] to correlate, in dimensionless form, the lateral dimensions of the expanded free jet to the distance from the exit section and the channel dimensions. These plots are used in the present work after accounting for the difference in the exit channel's aspect ratio between the above study and the current work. The area ratio in (5.6) is found to be in the range 0.59 - 0.72. The range in values is due to the uncertainty in the thermocouple location (between 1 and 1.5 mm away from the nozzle exit). Using the nozzle exit velocity given by the nozzle model, the expanded flow velocity is then determined using (5.6). The static flow temperature at the thermocouple location is approximated by the model-predicted nozzle exit temperature, as explained above. With this temperature, the 127 Chapter 5. Testing expanded jet velocity, and the recovery factor all known, (5.1) is used to calculate the adiabatic wall temperature. Table 5.2 compares the measured effluent temperatures with the predicted adiabatic wall temperatures at the thermocouple location. The uncertainty in thermocouple placement affects the expanded jet velocity and produces a range of predicted temperatures, rather than a single predicted temperature, in all three experiments. For experiment 3, there are two additional sources of error that contribute to this range. The first source is the uncertainty in the recovery factor, which was varied between 0 and 1 for the temperature calculation in experiment 3. The second source is the uncertainty in the quality of the steam in the effluent, since for this experiment only, some condensation occurs in the nozzle. The exact value of the steam quality is unknown, so a relatively large range of steam qualities between 20% and 80% is used in the calculation to span a wide spectrum of possible cases. This range leads to a variation in the properties of the effluent, which are calculated as the mass-weighted averages of the individual properties of steam, liquid water, and oxygen. It also leads to a variation in the effluent velocity at the nozzle exit and at the thermocouple location. The predicted temperatures reported for experiment 3 reflect all these variations. The recovery factors are also reported in Table 5.2. 128 Chapter 5. Testing Table 5.2. Recovery factors, predicted adiabatic wall temperatures, and measured effluent temperatures for the three experiments Predicted range in Recovery factor Temperature adiabatic wall measured by temperature at thermocouple (K) thermocouple location (K) Experiment 1 0.943 623.1 - 643.4 623.0 ± 2.6 Experiment 2 0.947 484.2 - 500.6 499.0 ± 2.2 Experiment 3 0-1 353.0 - 375.8 360.0 ± 2.2 Despite the uncertainties in the temperature calculation, very good agreement is observed between the predicted and measured temperature values. This provides further confirmation of the model's validity. The above analysis is also used in reverse to confirm full water vaporization by the device under the design conditions of experiment 1. The temperature measured by the thermocouple is now used as the adiabatic wall temperature in (5.1), and r and Vexp are calculated following the same procedure as above to determine the experimental static flow temperature at the nozzle location. This temperature is found to be in the range 562.9K-583.2K, which is well above the saturation temperature of water (364.8 K) at the exit conditions. This finding implies that all the H20 exiting the nozzle is steam, which confirms full vaporization of the liquid water inside the device under the design conditions. 129 Chapter 5. Testing 5.3.6 Summary of the implications of the experimental results The peroxide experiments had two main objectives. The first objective was to demonstrate successful system operation, defined by achieving complete peroxide decomposition and full water vaporization, under design conditions. The second objective was to provide comprehensive model verification over a range of experimental conditions. For the first objective, the refractive index results indicated complete peroxide decomposition, and the visual assessment and the effluent temperature measurements/analysis confirmed full vaporization. For the second objective, the measured peroxide mass fractions and device wall and effluent temperatures were compared against their corresponding model-predicted values, providing quantitative model verification. The visual assessment also provided qualitative model verification, via the occurrence or absence of visible condensation in the device under different conditions, as predicted by the model. Good agreement between experiment and theory confirms the accuracy of the detailed physical modeling, which was a key enabler of successful operation. 130 CHAPTER SIX 6 CONCLUSIONS 6.1 Summary and Important Findings This thesis presented a MEMS device that utilizes the decomposition of hydrogen peroxide to generate steam. The device operates by decomposing high-test hydrogen peroxide using ferrous chloride catalyst. The decomposition produces oxygen gas and water, and it also releases heat which subsequently vaporizes the water into steam. The heated gaseous mixture is then accelerated through a nozzle. The resulting high-speed flow can be used to drive MEMS ejector pumps which are capable of pumping gases at high mass flow rates. This functionality, i.e. the high flow rate pumping of gases, is currently lacking in MEMS technology and can have a very significant impact on many MEMS systems. Analysis of an ejector pump based on the current work predicts that the pump capacity per unit volume will be on the order of 10-2 g/s/cm 3, which is two orders of magnitude higher than the state of the art. A pressure ratio of 1:10 is possible with this mass flow rate and one stage of the pump; higher pressure ratios can be achieved by using multiple stages. Hydrogen peroxide is a very attractive green candidate for generating steam to drive this kind of pump. By virtue of its high density and its chemical energy, peroxide allows the realization of compact ejector pumps that do not require external power sources. To our knowledge, previous attempts at demonstrating similar MEMS devices that generated steam from the decomposition of hydrogen peroxide have generally been unsuccessful. This is attributed to a number of reasons. One is the use of heterogeneous catalysts which are susceptible to poisoning and can lead to clogging of the devices. A 131 Chapter 6. Conclusions second reason is improper thermal management which has usually lead to significant heat losses from the device. These losses can compromise the device's performance, since the retention of the heat generated due to decomposition is necessary for sustaining the reaction and vaporizing the water produced. A third reason is the use of incomplete physical models that failed to capture all the relevant physics, such as heat transfer and boundary layer formation. Successful demonstration of the current device is a result of the implementation of a number of design features to handle the above challenges. The catalyst challenge was addressed by using a homogeneous (liquid) catalyst solution. A liquid catalyst eliminates the poisoning problem by being continuously supplied, and it also allows wide mixer channels that are less susceptible to clogging. To enable successful use of this kind of catalyst, four parallel engulfment flow mixers were designed to allow fast mixing of the catalyst and peroxide streams. Each mixer has a residence time of about 1 ms, which matches the mixing timescales of engulfment flow mixers in the literature that have been demonstrated to achieve high mixing qualities. The current mixers also have zigzag channels and wall protrusions, which have been shown to improve mixing. The thermal management challenge was addressed by using a thermally-insulating package to minimize the heat losses while providing piping ports. The incomplete modeling challenge was addressed by developing a comprehensive, multi-domain model that accounts for the different physical phenomena taking place inside the device and package. These phenomena include chemical reaction, phase change, compressible flow, heat transfer inside the device and to the surroundings, and boundary layer formation in the nozzle. By 132 Chapter 6. Conclusions using these models, the device was designed to be large enough in order to prevent heat losses from compromising the operation, which is a risk at very small sizes. Modeling also allowed the estimation of the maximum allowable thermal conductivity of the package, which was found to be in the range 0.8-3.2 W/m-K. The actual package material used, which is a machinable mica-based ceramic composite, has a conductivity of 0.4 W/m-K. The model was also used to estimate the thickness of boundary layers in the nozzle. The formation of these layers was then compensated for by increasing the nozzle width to keep the mass flow rate unaltered. Finally, the model was used to conduct a parametric study of the device over a range of operating conditions. The study was later verified experimentally. Close agreement between theory and experiments indicated that the used model successfully captured all the relevant physics that took place during operation. The device was microfabricated by bonding four silicon wafers and one Pyrex wafer. The silicon wafers were first bulk-micromachined using deep reactive ion etching, and then they were fusion-bonded. This allowed the realization of the inlet ports, the mixers, the reactor, the nozzle, and the thermocouple insertion holes. Finally, the Pyrex wafer was anodically bonded to the silicon stack to cap the structure and provide optical access during experiments. A number of measures (see Appendix B) were followed to allow successful bonding. The test rig consisted of syringe pumps to control the peroxide and catalyst flow rates, in addition to pressure relief, plug, and check valves. Despite being nontoxic, hydrogen peroxide can pose some health hazards due to its strong oxidizing capabilities. As a result, a number of features were implemented to ensure safe peroxide storage and 133 Chapter 6. Conclusions handling. A lot of emphasis was placed on using compatible materials for the test rig components, to prevent contamination and possible decomposition of the peroxide outside the device. Primary experiments were conducted to qualitatively study the mixing quality in test devices. These devices only contained the mixer section in addition to inlet and outlet ports. Good mixing quality was observed. Experiments on the nominally-designed fullyfunctional devices followed. The objectives of these experiments were two-fold: to demonstrate successful operation and to comprehensively verify the model. Various characterization tools were used, including visual inspection, refractive index analysis, and temperature measurements. These tools indicated that full peroxide decomposition and complete water vaporization occurred inside the device, which confirmed that the device was operating successfully. In addition, the experimental results agreed very closely with the model, which verified the model's validity as mentioned previously. The realization of this steam-generating device, which other groups have unsuccessfully attempted to demonstrate for over a decade, represents a breakthrough that can have a huge impact on the MEMS and microfluidics fields. 6.2 Challenges and Future Improvements Despite the successful demonstration of the device's performance, some challenges were encountered during testing. This section describes those challenges and suggests ways for improving future experiments. The first challenge was the clogging of devices between experimental runs. New devices were observed to work properly as long as the syringe pumps were operating. 134 Chapter 6. Conclusions When the syringes ran out of peroxide or catalyst, the experiments had to be stopped temporarily to refill those syringes. Attempting to run the experiments again with the same device after refilling the syringes was found to set off the pressure relief valves, which would start leaking as soon as the flow in the supply pipes reached the device. Replacing the old device with a new one alleviated this problem. These observations indicated that the devices were getting clogged, not during each experiment but between different experimental runs. This is attributed to the settling of particulates inside the device at shutdown. During normal system operation, these particulates (such as the used solid catalyst) are carried outside of the device by the effluent. During shutdown, however, some of these particulates are deposited in narrow areas inside the device. To circumvent this problem in future experiments, it is proposed to add a compressed-air line to the setup, as shown in Figure 6.1. The plug valve connected to this line would normally be turned off during the experiments. At shutdown, this plug valve would be turned on while the other plug valves connecting the peroxide and catalyst streams would be turned off. As a result, the device could be purged, ensuring no deposition of particulates, and hence no clogging. 135 . Chapter 6. Conclusions PRV pressure relief.valve Compressed air line PV Plug (on/off) valve CV. Check valve PRV High-test Peroxide PV rac;Kage PRV Product waste Ferrous collector chloride tetrahydrateme i illfil, PV Cat aly st waste collector Figure 6.1. Schematic of proposed modified setup with compressed air line for purging the device after experiments A second problem that was encountered during experiments was the cracking of the bottom half of the package along its side, as shown in Figure 6.2. The cracking was observed to start in areas that were heavily stained by the catalyst. This cracking is attributed to possible reaction of the package material with the used catalyst, which wetted the bottom half of the package during startup. The brittle nature of the package's ceramic material and the clamping mechanism are speculated to further aggravate this problem. For future experiments, it is recommended, at least for the bottom half of the package, to 136 . ...... .-. .RO ............ . ..................... ................ Chapter 6. Conclusions use a less-brittle material that is inert to the catalyst. If finding a material that satisfies these criteria while also having the required low thermal conductivity in Table 4.1 proves to be challenging, a modified package design, such as the one shown in Figure 6.3 , can be used. In this design, the extra cavities will be filled with air, which has a very low thermal conductivity. This allows the use of a material with higher thermal conductivity than Rescor 914. - 5 mm Figure 6.2. Photograph of the cracked bottom half of the package Figure 6.3. Modified design for the bottom half of the package, which allows the use of a material with higher thermal conductivity 137 Chapter 6. Conclusions The third concern during experiments was safety. The incorporation of the safety measures listed in Chapter 4 and the extreme care that was taken during experiments prevented the occurrence of accidents. Nevertheless, it is more desirable to run future experiments remotely, to minimize any potential risks. To achieve this, it is necessary to automate the system. Automation can be realized by replacing the manual plug valves with solenoid valves, and using an instrumentation software program, such as LABVIEW, to control those valves and the syringe pumps during experiments. Extra piping lines (and on/off valves) can be used to connect the syringes to separate reservoirs that contain the peroxide and catalyst solutions. The instrumentation software can be used to run the pumps in alternating withdrawal and infusion modes. During withdrawal, the syringes are filled with the chemical solutions from the reservoirs. During infusion, the syringes supply those solutions to the device. This prevents the need for manually filling the syringes after each experiment. 6.3 Design Modifications for Future Applications The device can be easily adapted for future inclusion in MEMS ejector pump systems. The main design adjustment will be in the nozzle section. In the current device, the nozzle emits gases into the atmosphere. In a pump application, the pump's upstream pressure, which has to be matched to the steam generator's exit pressure, may be different. To allow for a different exit pressure, the nozzle exit area can be increased or decreased. To first order, the dimensions of the new required exit section can be found following the analysis presented in Section 2.5.2 and using the new required pressure value, instead of 1 atm, for Pe. The length of the supersonic section can be adjusted to avoid nozzle half-angles greater 138 Chapter 6. Conclusions than about 300, which have been found to cause high viscous and non-axial flow losses in computational studies by Louisos et al. [49-50]. For more compactness, the reactor length may also be optimized to shorten the section following the location of complete peroxide decomposition. When designing the ejector pump, attention must be paid to two important points. First, some applications may require the pumped-out flow to be free of the catalyst that was used for facilitating the peroxide decomposition. In these applications, care must be taken to ensure that the pump design allows for the separation of the catalyst from the flow, either under the action of gravity (as in the present steam generator) or using some other mechanism. Secondly, the analysis presented in Section 2.9 can be used for the firstorder modeling of the pump's steady-state operation as a vacuum generator. The start-up period, however, requires more involved modeling which is not covered here. During this period, the pressure of the chamber to be evacuated decreases from an initial value to its final desired value. The formation of shockwaves in the supersonic section of the steam generator is expected during this stage in order to allow for higher-than-design evacuation pressures in the suction chamber. Certain measures can be taken to reduce the energy losses resulting from those shockwaves. The interested reader is referred to compressible flow texts which address the starting of devices with supersonic flow and varying downstream pressures, such as [51]. Another potential application that the device can be adapted for is thrust generation in microrockets. The need for micropropulsion, or the production of very small thrust levels, arises in two general areas of astronautics [45]. One area is the maintenance of very precise orbital attitude and position in space missions. In this application, very low thrust 139 Chapter 6. Conclusions levels (on the order of milli-Newtons) are required to offset perturbations that are caused, for example, by solar radiation pressure or gravitational nonuniformities. Another area is the miniaturization of space vehicles to facilitate the installation and use of distributed spacecraft formations. The device presented in the current work can be adapted for use as a microrocket driven by hydrogen peroxide as monopropellant. The thrust generated by the steam-oxygen gas effluent can be utilized to propel the device. In micropropulsion, the important performance metrics are the thrust force produced by the microrocket and its specific impulse. The thrust force is proportional to the product of the propellant mass flow rate and the flow velocity at the rocket exit. The specific impulse, which is a measure of the thrust produced per unit weight of the propellant, is proportional to the flow velocity at the exit. Therefore, to adapt the device for micropropulsion requirements, two changes can be made to the design. The reactor geometry can be modified to enable the complete decomposition of peroxide at a different mass flow rate. The supersonic section of the nozzle can be made larger (wider at exit and longer), to allow effluent acceleration to higher velocities as needed. 6.4 Concluding Remarks We consider the research reported in this thesis to be another triumph in the areas of micro-electro-mechanical systems and microfluidics. With detailed physical modeling, sound, simultaneous design of both the device and the package, and thorough testing, successful microsystems can be realized. Many of these systems are capable of providing much-needed functionalities, and have scaling advantages in performance over their macro-sized counterparts. The microsystem presented in this thesis is but one example. 140 Appendix A. Detailed process flow Appendix A: Detailed Process Flow Wafers 1-4 Lab Process step Machine Alignment marks TRL HMDS TRL Spin on resist HMDSTRL coater Chemicals OCG 825- Color Comments green thin resist recipe green 1 ptm, positive resist green green 900C, 15 min 1 im, positive resist green green 90*C, 30 min SteamGenAlignment mask 20CS (front) oven coater TRL TRL Prebake Spin on resist (back) Prebake Expose front TRL Develop photo-wet TRL Postbake oven green 900C, 30 min ICL Front oxide etch AME5000 green ICL Front Si etch AME5000 green ICL Piranha + rinse + spin dry ICLpremetal green Chamber A,0.5 jim deep oxide etch Chamber B, 0.25 pm deep Si etch piranha clean TRL HMDS HMDS- green thin resist recipe green 1 im, positive resist green green 90*C, 15 min 1 ptm, positive resist TRL TRL OCG 82520CS oven EV1 OCG-934 sulfuric acid, peroxide green TRL TRL TRL TRL Spin on resist (back) prebake Spin on resist (front) coater oven coater OCG 82520CS OCG 82520CS TRL Prebake oven green 900C, 30 min TRL Expose back EVI green SteamGen._Alignment mask TRL Develop photo-wet TRL Postbake oven green 900C, 30 min ICL Front oxide etch AME5000 green ICL Front Si etch AME5000 green ICL Piranha + rinse + spin dry ICLpremetal sulfuric acid, peroxide green Chamber A, 0.5 pim deep oxide etch Chamber B, 0.25 pm deep Si etch piranha clean Wafer I Lab Process step Machine Chemicals Color Comments Through TRL HMDS HMDS- green thick resist recipe green 12.5 pm, positive resist OCG-934 green TRL holes TRL Spin on resist coater AZ4620 141 Appendix A. Detailed process flow resist (front) TRL Prebake oven TRL Spin on resist coater AZ4620 green 900C, 30 min green 10 ptm, positive resist resist (back) TRL Prebake oven green 90*C, 60 min TRL Expose EV1 green SteamGenHoles TRL Develop photo-wet TRL Postbake oven TRL Front oxide etch (BOE) Mount on quartz acidhood/ ah2 coater mask AZ440 green developer TRL BOE green 90 0C, 30 min green 0.5 ptm deep thermal oxide etch green wafer TRL Si etch green STS2/3 560 im deep through Si etch TRL Acetone dismount photo-wet acetone green acidhood/ ah2 sulfuric acid, green piranha clean Color Comments of wafer handle TRL Piranha + rinse + spin dry peroxide Chemicals Wafer 3 Lab Process step Machine Oxidation ICL ICL RCA clean Oxide deposition RCA DCVD green green TRL Anneal TubeB3 green TRL HMDS HMDSTRL green 4 jim, both sides 9500C, 1 hr thick resist recipe TRL Spin on resist (front) prebake Spin on resist (back) coater green 12.5 pm, positive resist green green 900C, 30 min 10 gm, positive resist Reactor + Through holes TRL TRL oven coater AZ4620 resist AZ4620 resist TRL Prebake oven green 900C, 60 min TRL Expose EV1 green SteamGenReactor mask TRL Develop photo-wet TRL Postbake oven green 90*C, 30 min ICL Front oxide etch AME5000 green 4.5 pim deep oxide etch TRL Mount on quartz coater green Si etch STS2/3 green Acetone dismount photo-wet acetone green acidhood/ ah2 sulfuric acid, green AZ440 developer green wafer TRL TRL 940 pim deep through Si etch of wafer handle TRL Piranha + rinse + spin dry piranha clean 142 Appendix A. Detailed process flow peroxide Wafers 2 Color Comments RCA DCVD green green 2 ptm, both sides of Anneal HMDS TubeB3 HMDSTRL green green 9500C, 1 hr thick resist recipe Spin on resist (front) Prebake Spin on resist (back) coater green 12.5 tm, positive resist green green 900C,30 min 10 pm, positive resist Lab Process step Machine ICL ICL RCA clean Oxide deposition TRL TRL TRL Chemicals and 4 (Si) Oxidation each wafer Mixers+rea ctor+holes in oxide TRL TRL oven coater AZ4620 resist AZ4620 resist Prebake oven green 900C, 60 min TRL Expose front EV1 green SteamGenMixer mask TRL Develop photo-wet TRL ICL ICL Postbake Front oxide etch Piranha + rinse + spin dry oven AME5000 ICLpremetal TRL HMDS TRL Spin on resist (back) HMDSTRL coater TRL Prebake oven TRL Spin on resist (front) coater TRL Prebake TRL TRL AZ440 developer green green green green 900C,30 min 2.5 pim deep oxide etch piranha clean green thick resist recipe green 12.5 pm, positive resist green 900C, 30 min green 10 pm, positive resist oven green 900C, 60 min Expose back EV1 green SteamGenMixer mask TRL Develop photo-wet TRL Postbake oven ICL ICL Back oxide etch Piranha + rinse + spin dry AME5000 ICLpremetal TRL HMDS TRL Spin on resist (front) Prebake Expose front HMDSTRL coater TRL TRL oven EV1 sulfuric acid, peroxide AZ4620 resist AZ4620 resist AZ440 developer sulfuric acid, peroxide AZ4620 resist green green 90 0C, 30 min green green 2.5 pm deep oxide etch piranha clean green thick resist recipe green 12.5 jim, positive resist green green 900C, 30 min SteamGenReactor mask 143 Appendix A. Detailed process flow photo-wet TRL TRL Postbake Back Si shallow etch Mount on quartz wafer Front Si deep etch oven STS2/3 green green coater green STS2/3 green Oxygen plasma to strip PR Front Si shallow etch asher-TRL green STS2/3 green photo-wet acetone green TRL Acetone dismount of wafer handle Piranha + rinse + spin dry acidhood/ ah2 sulfuric acid, peroxide green piranha clean Lab Process step Machine Chemicals Color Comments TRL TRL Ash wafers Piranha + rinse green green 1hour each wafer piranha clean TRL Pure HF green 5 min, for oxide removal TRL EV620 green TRL TRL RCA clean without HF dip Silicon direct bonding Pressing of stack Anneal TRL-asher acidhood/ sulfuric ah2 acid, peroxide acidhood/ hydrofloric ah2 acid RCA EV501 TubeB3 green green 9500C, 1 hr Lab Process step Machine Chemicals Color Comments TRL Piranha + rinse + spin dry acidhood sulfuric acid, red piranha clean TRL Anodic bonding of Pyrex to Si + EV501 red 1000 V for bonding Diesaw brown TRL TRL Mixers+rea ctor+holes in Si TRL TRL Wafers 1, 2. 3. 4 (all TRL Pyrex wafer and Si stack green Develop TRL Reactor + holes in Si AZ440 developer TRL 900C, 30 min 100 ptm deep backside etch 740 jim deep frontside etch 100 ptm deep extra frontside etch green peroxide pressing ICL of stack Dice wafers 144 Appendix B. Practices followed for successful wafer bonding Appendix B: Practices Followed for Successful Wafer Bonding e Order the silicon wafers with a 0.5 pm thick layer of thermally-grown oxide on each side to protect the wafer surfaces during processing. The oxide layers are removed later by using HF just prior to bonding. " Use a new (unopened) wafer box and the RCA-designated boat (brown label) for transporting wafers during the bonding process. * The wafer box must be closed anytime it is being transported from one station to another. * It is important, prior to the RCA clean, to place the wafers in the boat according to the order and orientation in which they will be bonded later. This is to avoid unnecessary wafer handling afterwards to check for the correct wafer and side to be bonded. * Following the HF cleaning, all subsequent steps must be carried out as quickly as possible, and as soon as the previous step is over, with no waiting between steps. This is to minimize the number of particulates from the cleanroom being deposited on the wafers. * Cover the counter space near the bonder with fabwipes. * Clean any beakers/holders/wands that will be used during bonding with isopropanol. " Wear sleeves and two sets of gloves, and have many extra (new) gloves handy near the bonder station. Anytime you touch anything, the outer gloves must be replaced. " Keep wafers in the spin-dryer while setting up the bonder and pressure chamber, and do not bring the wafers to the bonder station until the setup task is fully completed. This is to minimize the deposition of particulates on the wafers due to setup. " Block access to the bonder station area (by other fab members) during bonding. Also avoid talking with others and breathing directly on the wafers. * Always run a pair of dummy wafers to catch any particulates present on the bonder surfaces before bonding the actual wafers. 145 Appendix B. Practices followed for successful wafer bonding * To remove individual wafers with only one side to be bonded from the carrier, use the vacuum wand on the side that will not be bonded. 146 References References 1 Bogue, R.(2007). MEMS sensors: Past, present and future. Sensor Review, 27(1), 7-13. 2 Laser, D.J., &Santiago, J.G.(2004). A review of micropumps. Journalof Micromechanics and Microengineering,14, R35. 3 Marcu B., Prueger G., Epstein A. H., Jacobson S. A. (2005). The commoditization of space propulsion: Modular propulsion based on MEMS technology. 41st AIAA/ASME/SAE/ ASEE Joint Propulsion Conference & Exhibit. 4 Yao, S. C., Tang, X., Hsieh, C.C., Alyousef, Y., Vladimer, M., Fedder, G. K., et al. (2006). Micro-electro-mechanical systems (MEMS)-based micro-scale direct methanol fuel cell development. Energy, 31(5), 636-649. 5 Unger M. A., Chou, H. P., Thorsen, T., Scherer, A., & Quake, S. R. (2000). Monolithic microfabricated valves and pumps by multilayer soft lithography. Science, 288(5463), 113. 6 Urbanski J.P., Thorsen, T., Levitan, J.A., & Bazant, M.Z. (2006). Fast AC electro-osmotic micropumps with nonplanar electrodes. Applied Physics Letters, 89, 143508. 7 Edwards IV,J.M., Hamblin, M. N., Fuentes, H.V., Peeni, B.A., Lee, M.L., Woolley, A. T., et al. (2007). Thin film electro-osmotic pumps for biomicrofluidic applications. Biomicrofluidics,1, 014101. 8 Van Lintel, H. T. G., Van de Pol, F. C. M., & Bouwstra, S. (1988). A piezoelectric micropump based on micromachining of silicon. Sensors and Actuators, 15(2), 153-167. 9 Zimmermann, S., Frank, J.A., Liepmann, D., & Pisano, A. P. (2004). A planar micropump utilizing thermopneumatic actuation and in-plane flap valves. 17th IEEE International Conference on Micro Electro MechanicalSystems (MEMS 04), 462-465. 10 Zengerle, R., Ulrich, J., Kluge, S., Richter, M., & Richter, A. (1995). A bidirectional silicon micropump. Sensors and ActuatorsA: Physical,50(1-2), 81-86. 11 Berg, J. M., Anderson, R., Anaya, M., Lahlouh, B., Holtz, M., & Dallas, T. (2003). A twostage discrete peristaltic micropump. Sensors and ActuatorsA: Physical,104(1), 6-10. 147 References 12 Dario, P., Croce, N., Carrozza, M. C., & Varallo, G. (1996). A fluid handling system for a chemical microanalyzer. Journalof Micromechanicsand Microengineering,6, 95-98. 13 Benard W., Kahn, H., Heuer, A., & Huff, M. (1998). Thin-film shape-memory alloy actuated micropumps. Journalof MicroelectromechanicalSystems, 7(2), 245-251. 14 Schomburg, W. K., Vollmer, J., Bustgens, B., Fahrenberg, J., Hein, H., & Menz, W. (1994). Microfluidic components in LIGA technique. Journal of Micromechanics and Microengineering,4, 186-19 1. 15 Kamper, K. P., Dopper, J., Ehrfeld, W., & Oberbeck, S. (1998). A self-filling low-cost membrane micropump. 11th IEEE InternationalConference on Micro Electro Mechanical Systems (MEMS 98), 43 2-437. 16 B6hm, S., Olthuis, W., & Bergveld, P. (1999). A plastic micropump constructed with conventional techniques and materials. Sensors &Actuators:A. Physical, 77(3), 223-228. 17 Cui, Z., & Takoudis, C. G. (2001). Design and simulation of a vacuum micropump. Proceedingsof SPIE,4560, 263. 18 Vargo, S. E., Muntz, E. P., Shiflett, G. R., & Tang, W. C.(1999). Knudsen compressor as a micro- and macroscale vacuum pump without moving parts or fluids.Journalof Vacuum Science & Technology A: Vacuum, Surfaces,and Films, 17, 2308. 19 Vargo, S. E., &Muntz, E.P. (2001). Initial results from the first MEMS fabricated thermal transpiration-driven vacuum pump. AIP Conference Proceedings,585, 502. 20 Young, R.M.(1999). Analysis of a micromachine-based vacuum pump on a chip actuated by the thermal transpiration effect. Journal of Vacuum Science & Technology B: Microelectronicsand NanometerStructures, 17, 280. 21 Hobson, J. P., & Salzman, D. B. (2000). Review of pumping by thermal molecular pressure. Journal of Vacuum Science & Technology A: Vacuum, Surfaces, and Films, 18, 1758. 22 McNamara, S., & Gianchandani, Y. (2005). On-chip vacuum generated by a micromachined Knudsen pump. Journalof MicroelectromechanicalSystems, 14(4), 741746. 148 References 23 Graham Corporation website. Available: http://www.graham-mfg.com/index.asp?pageld=46 24 Croll Reynolds Company website. Available: http://www.croll.com/ website/pr/vetheory.asp 25 Singhal, G.(2010). Pressure recovery studies on a supersonic COIL with central ejector configuration. Optics &Laser Technology, 42(7), 1145-1153. 26 Doms, M., &Muller, J.(2007). Design, fabrication, and characterization of a micro vaporjet vacuum pump.Journalof FluidsEngineering,129, 1339. 27 Chuech, S. G., Chen, C.C., Lu, J. C., & Yan, M. M. (2007). Design and implementation of ejector driven micropump. Energy Conversion and Management,48(10), 2657-2662. 28 Fan, Y., Suzuki, Y., & Kasagi, N. (2005). Development of large-entrainment-ratio micro ejector for catalytic combustor. PowerMEMS 05, 28-30. 29 Chen, X., Zhang, T., Xia, L., Li, T., Zheng, M., Wu, Z., et al. (2002). Catalytic decomposition of hydrazine over supported molybdenum nitride catalysts in a monopropellant thruster. Catalysis Letters, 79(1), 21-25. 30 Timbretl, J. A., Scales, M. D. C., & Streeter, A. J. (1982). Studies on hydrazine hepatotoxicity: 2. Biochemical findings. Journalof Toxicology and Environmental Health, PartA, 10(6),955-968. 31 Ventura, M., & Mullens, P. (1999). The use of hydrogen peroxide for propulsion and power. 35th A IAA/ASME/SA E/ASEE Joint PropulsionConference & Exhibit. 32 Zimmerman, P. W. (1955). Chemicals involved in air pollution and their effect upon vegetation. Contrib.Boyce Thompson Inst. 33 Weatherby, J.H. (1952). Chronic toxicity of ammonia fumes by inhalation. Proceedingsof the Society for ExperimentalBiology and Medicine, 81(1), 300-301. 34 Scharlemann, C., Schiebl, M., Marhold, K., Tajmar, M., Miotti, P., Kappenstein, C., et al. (2006). Development and test of a miniature hydrogen peroxide monopropellant thruster. 42nd AIAA/ASME/SAE/ASEE Joint Propulsion Conference & Exhibit. 35 Yaws, C.L.(1999). Chemical propertieshandbook. New York, NY: McGraw-Hill. 149 References 36 Whitehead, J. C. (1998). Hydrogen Peroxide Propulsion for Smaller Satellites. 12th Annual AIAA/USU Conference on Small Satellites. 37 Wilhite, B.A., Livermore, C., Gong, Y., Epstein, A. H., & Jensen, K. F. (2004). Design of a MEMS-based microchemical oxygen-iodine laser (ptCOIL) system. IEEE Journal of Quantum Electronics,40(8), 1041-1055. 38 Hill, T. F. (2008). Microchemical systems for singlet oxygen generation. Massachusetts Institute of Technology, Cambridge, MA. 39 Dean, J., Aneshansley, D. J., Edgerton, H. E., & Eisner, T. (1990). Defensive spray of the bombardier beetle: A biological pulse jet. Science, 248, 1219-1221. 40 Kuan, C. K., Chen, G. B., & Chao, Y. C. (2005). Development of a high-test hydrogen peroxide (HTP) micro-thruster. 20th International Colloquium on the Dynamics of Explosions and Reactive Systems. 41 Platt, D. (2002). A monopropellant milli-Newton thruster system for attitude control of nanosatellites. 16th Annual USU Conference on Small Satellites. 42 Lee, J., An, S., & Kwon, S. (2008). Development of a liquid propellant rocket utilizing hydrogen peroxide as a monopropellant. 44th AIAA/ASME/SAE/ASEE Joint Propulsion Conference &Exhibit. 43 Musker, A.J., Roberts, G.T., Horabin, R., Kawar, A., Payne, M., Pollard, M., et al. (2006). An assessment of homogeneous catalysts for the rapid decomposition of hydrogen peroxide. 42nd AIAA/ASME/SAE/ASEE JointPropulsionConference & Exhibit. 44 Peroxide Propulsion website. Available: http://www.peroxidepropulsion.com/article/14 45 Hitt, D.L., Zakrzwski, C.M., &Thomas, M.(2001). MEMS-based satellite micropropulsion via catalyzed hydrogen peroxide decomposition. Smart Materials and Structures, 10(6), 1163-1175. 46 Xupeng, C., Yong, L., Zhaoying, Z., & Ruili, F. (2003). A homogeneously catalyzed microchemical thruster. Sensors &Actuators: A. Physical,108(1-3), 149-154. 47 Nguyen, N. T., &Wu, Z. (2005). Micromixers-a review. Journalof Micromechanics and Microengineering,15(2), R1-R16. 150 References 48 Osaki, Y., & Takahashi, K. (2004). Microfluidics of liquid propellant microthruster for pico-satellites. IEEJ Transactionson Sensors and Micromachines,123, 436-441. 49 Louisos, W. F., & Hitt, D.L. (2005). Optimal expansion angle for viscous supersonic flow in 2-D micro-nozzles. 35th AIAA FluidDynamics Conference and Exhibit, 1-12. 50 Louisos, W. F., & Hitt, D. L. (2008). Viscous effects on performance of two-dimensional supersonic linear micronozzles. Journal of Spacecraftand Rockets, 45(4), 706-715. 51 Greitzer, E. M., Tan, C.S., & Graf, M. B. (2004). Internalflow: Concepts and applications. New York, NY: Cambridge University Press. 52 Musker, A. J., & Roberts, G.T. (2005). The effect of stabilizer content on the catalytic decomposition of hydrogen peroxide. 41st AIAA/ASME/SAE/ASEE Joint Propulsion Conference & Exhibit. 53 Marco Rubber website. Available: http://www.marcorubber.com/ 54 Branebjerg, J., Gravesen, P., Krog, J.P., &Nielsen, C.R. (1996). Fast mixing by lamination. 9th IEEE InternationalConference on Micro Electro Mechanical Systems (MEMS 96), 441446. 55 Liu, R. H., Stremler, M. A., Sharp, K. V., Olsen, M. G., Santiago, J. G., Adrian, R. J., et al. (2000). Passive mixing in a three-dimensional serpentine microchannel. Journal of MicroelectromechanicalSystems, 9(2), 190-197. 56 Wong, S. H., Ward, M. C.L., & Wharton, C.W. (2004). Micro T-mixer as a rapid mixing micromixer. Sensors &Actuators: B. Chemical,100(3), 359-379. 57 Stroock, A. D., Dertinger, S. K.W., Ajdari, A., Mezic, I., Stone, H. A., & Whitesides, G. M. (2002). Chaotic mixer for microchannels. Science, 295(5555), 647. 58 Yang, R., Williams, J. D., & Wang, W. (2004). A rapid micro-mixer/reactor based on arrays of spatially impinging micro-jets. Journal of Micromechanics and Microengineering,14, 1345-1351. 59 Mengeaud, V., Josserand, J., & Girault, H. H. (2002). Mixing processes in a zigzag microchannel: Finite element simulations and optical study. Analytical Chemistry, 74(16), 4279-4286. 151 References 60 Wong, S. H., Bryant, P., Ward, M., & Wharton, C. (2003). Investigation of mixing in a cross-shaped micromixer with static mixing elements for reaction kinetics studies. Sensors &Actuators: B. Chemical, 95(1-3), 414-424. 61 Engler, M., Kockmann, N., Kiefer, T., & Woias, P. (2004). Numerical and experimental investigations on liquid mixing in static micromixers. Chemical EngineeringJournal, 101(1-3), 315-322. 62 Kockmann, N., & Woias, P. (2003). Flow regimes and mass transfer characteristics in static micromixers. ProceedingsofSPIE, 4982, 319. 63 Mays, L.W. (1999). Hydraulic design handbook. New York, NY: McGraw-Hill Professional. 64 Collins, K. C. (2008). Computationalfluid dynamic (CFD) optimization of microfluidic mixing in a MEMS steam generator.Massachusetts Institute of Technology, Cambridge, MA. 65 Mills, A.F. (1999). Heat transfer.Upper Saddle River, NJ: Prentice Hall Inc. 66 Zhou, X., & Hitt, D. L. (2003). One-dimensional modeling of catalyzed H20 2 decomposition in microchannel flows. 33rd AIAA FluidDynamics Conference and Exhibit. 67 Orr, R. J., & Williams, H. L. (1953). Kinetics of the reactions between iron (II) and hydroperoxides based upon cumene and cyclohexane. The Journalof Physical Chemistry, 57(9), 925-931. 68 Kundu, P. K., & Cohen, I. M. (2004). Fluid mechanics. San Diego, CA: Elsevier Academic Press. 69 FMC Corporation website. Available: http://www.fmcchemicals.com/Products/HydrogenPeroxide.aspx 70 Bernier, M. (2004). An experimental investigation of heat transferto hydrogen peroxide in microtubes.Massachusetts Institute of Technology, Cambridge, MA. 71 Quinn, W. R. (1994). Development of a large-aspect-ratio rectangular turbulent free jet. AIAA Journal,32(3), 547-554. 152