Point-of-Use Flow Control Design Project Design Documentation Final Report East Hill Surfers (EHS): Daniel Smith, Jacob Krall, Drew Lebowitz and Stephen Song Abstract: A flow control device is a component that holds vast potential for improving point-of-use water purification systems in the developing world. The development of a gravity-powered, cheap, yet effective device that achieved a low, yet constant, flow would be extremely useful in developing more effective systems such as slow-sand filters and chemical drip feeds. Although myriad possible devices exist for achieving this goal, the floating-plug device is one of the simplest and most effective. The device utilizes a float which is free to move vertically in a small intermediate tank. As the water level in the small tank rises, a plug atop the rising float closes the water inlet, achieving a constant head above the outlet. The steady-state device is able to produce a continuous daily flow of water at about 20 liters, ideal for a single-family purification system. This system has been designed, developed, and tested at Cornell University, where it has been shown experimentally to consistently produce the desired flow rate. This paper describes the process that led to the device’s selection, the theoretical and practical considerations in its design, and the laboratory experimentation process that verifies the device’s functionality. Finally, the report explores possibilities for implementing this device in developing communities and possible improvements. Design Project Goals and Context: The current state of affairs in the global south shows that there is a pressing need for an inexpensive, reliable, and low-maintenance source of clean water. Lack of adequate municipal water, massive population growth, and the remoteness of rural communities have made point-of-use treatment a viable longer-term solution. One technology that is well-suited for point-of-use treatment is slow sand filtration. This common filtering process offers a simple, low-cost solution for purifying water. However, slow sand filters work best when the water flows at a constant rate. The impetus for this project was the realization that the effectiveness of slow-sand filters could be vastly increased by employing a flow control device as a filter regulator or chemical feed dispenser. With this in mind, our team set out to design and build a selfpowered small-scale water flow device that was easy to maintain, inexpensive to construct, and reliable. A constant flow device for point-of-use treatment and chemical feeds must achieve a very low flow rate. It was determined that for a household, the target daily flow rate was 20 liters. A flow rate of this magnitude is so low that it can be measured in countable drips. This presented unique challenges since it was quickly determined that maintaining a low flow rate is more difficult than maintaining a high flow rate. One of the main problems with maintaining a low flow rate device is clogging. Small orifices and tubing are prone to clogging from turbid water. Because this device will be used as part of a filtration process, it should be expected that there will be turbid water running through it. Additionally, the device should not require any external power and needs to withstand the corrosive properties of chemicals such as chlorine that would flow through it. While a device that utilizes electricity may be very effective, it would not be suitable for use in remote regions of the global south. These realizations proved to be important in driving the design of a suitable device. In order to motivate ideas, a web search was conducted to investigate prior solutions to this problem. It was determined that there are many solutions, but everything had its flaws. In addition to a web search, parts at a local hardware store were examined to see what types of materials were readily available. With various ideas in mind, the Team EHS brainstormed a list of designs, identified problems, and proposed solutions. A design for a prototype device was eventually drawn up, constructed, and tested. Device Decision Process: Team EHS considered an array of preliminary design options before settling on the float-controlled constant head mechanism presented in this report. In addition to the basic performance requirements of being self-powered and providing constant flow, we considered six additional key characteristics: 1. Ease of Use/Maintenance – Design must envision a vital device for a household with limited access to replacement parts. 2. Size – Device must be as small as possible to minimize chance of breaking and facilitate incorporation into existing devices 3. Universality – Device must be able to function with any mechanism of manufactured or existing water purification system 4. Resistance to Clogging – Device should process water of any turbidity 5. Reliability – Device should be as simple as possible to limit failure mechanisms 6. Cost – Device production cost should be around $5.00 or less to be available to families living on less than $1.00 / day. The original brainstorming attempted to identify as diverse and innovative a solution as possible. The process yielded a variety of ideas for flow control mechanisms. Most devices employed a mechanism that would maintain constant head and in turn use this constant head to force water out at our desired flow rate from a constant pressure. We recognized several recurring categories of ideas, and grouped each idea into the categories. Our six most viable ideas and their strengths and weaknesses are displayed in Figure 1. Along with our flow control devices, a control device consisting of only constant outflow was considered. This device is intended to quantify the head variation that was our original impetus for creating this design. Selecting the Design After evaluating our choices for our stated criteria, the floating plug-valve device was selected as the optimal candidate. This solution is simple, cheap, and effective. One notable aspect is that the device is entirely self-contained, making incorporation with an existing flow system easy and unobtrusive. It can be placed either above or below a filter or other purification mechanism, increasing its universality. Lastly, this device is easily Floating Inlet Partial vacuum inside tank Ov era ll G rad e na lN o te s A B C C B Limited by small-pipe flow B+ C Feasible but illsuited to low flow B C C A C C Overly complex and highly prone to failure Limited by smallpipe flow A B B B A B High-wear gaskets prone to B frequent failure Likely success but requires minute outlet B A A C B B Requires precision valve; Could be coupled with Marriot Tube B C B A A A Very easy to obtain parts; Limited by size of unit B+ A A B B A Benefits of toilet valve yet compact A Intermediate tank Toilet Float with auto-feedback Likely success A Valve inlet Intermediate tank Likely success with Plugging with auto-feedback precise A Float Valve inlet components Stand-Alone None Drip Valve Head is Variable Ad dit io Pre d Fu icted nc t Su iona cce l ss Self-adjusting inlet Eliminates majority B height of head variation Variable Open-Channel Torque Flow Pulley SpringSelf-adjusting inlet Supported height Bucket Pinhole Air Inlet Ea se of Us e/M ain Siz t. e Un i v ers Clo alit gg y ing Re sis Re tan liab ce ility Co st Device Co ns tan tH ea dD ev ice constructed and modified, making it an ideal choice for optimization with our available resources. Generates inconsistent flow n/a Control Device to verify FCD necessity Figure 1 - Device Decision Matrix Theoretical Design Calculations, Size, and Constraints for the Float Valve: The most important design consideration when using a float valve to control the water level is the threshold pressure at which the valve will open. The objective of the design is to keep the inlet into the FCD closed when the water is at the desired level and open when it drops below that level, letting water in, and thus producing a constant water level. Since the water level is constant, a fixed opening at the bottom of the FCD would let water out at a constant rate according to Toricelli’s solution V=C√2gh. The maximum pressure the valve will have to sustain while closed is the pressure created when the filter or reservoir above it is full. If we call the maximum depth of the reservoir h, then the pressure exerted on the valve is described by the hydrostatic equation: p = γh. Similarly, the force is: F = A γh, where A is the area of the tube flowing into the FCD. So now the objective is to plug the hole with a force greater than that produced by the pressure head. There are a number of ways to accomplish this task of which the most common is the toilet-style apparatus that uses a float attached to a lever arm to plug the inlet when the water level raises the float (see Fig 2). We will look at this device briefly as a means to understand why the float valve for the EHS FCD is more appropriate. Inlet Flow F = A γh L1 Float Pin Buoyant Force = FB L2 Figure 2 – Schematic for idealized lever arm system showing the pertinent forces at the inlet and float and the lever arms about the pin associated with each one. The force of the static pressure is greater than the force of the free jet that would come out of the inlet, so we need to design for the static load. In this device the moment created by the buoyant force about the pin must be greater than the moment created by the pressure head and the weight of the float: M PIN 0 AhL1 FB L2 submergedL 2 However, for the small-scale of this design the use of a lever arm to amplify the buoyant force of the float is unnecessary because of the miniscule area, and therefore force, of the inlet flow. With the proper sizing, the float should be able to resist the pressure head for a tank by its buoyancy alone with the inlet dropping vertically down (see Fig. 3). The concept is identical to the float with a lever but the analysis and construction is simpler. We assume that the maximum pressure the float will need to resist is when the slow-sand filter or chemical feed reservoir is full at height H. We also assume the float will effectively plug the inlet given the minimum size calculated. Summing the buoyant force, pressure force, and weight of the float in the vertical direction we have: F 0 FB FP W submerged w w HAi tot f For the minimum float size we set the total float volume Vtot equal to the submerged volume Vsub to find an expression for the total float volume as a function of the head H, inlet area Ai, and the specific gravity of the float: tot w w HAi tot f tot HAi tot S f HAi (1 S f ) To find the minimum float size needed we choose the maximum height to be H = 3m, Ai= (π/4)Di2 where D = 2mm, and a reasonable estimate of Sf = 0.025 for low density tot styrofoam. Plugging in gives a theoretical minimum float size of Vtot = 9.67 cm3. This approximation was taken into consideration during construction of the FCD. The other value necessary to determine the size of the FCD is the height of water needed to produce the desired flow rate of 20L/day. Based of an analysis of head losses from commercially available small tube sizes, an inner diameter of around 2 mm was found to be a good value for this application. To give the FCD a degree of versatility it was designed for a maximum flow rate of twice the target flow rate: Qd = 40L/day. The tubing needs to have length L = 9 cm to fit through the roller clamp and to adjust comfortably. We also account for head loss at the entry of the tubing. Applying the energy equation between the free surface in the FCD and the exit for water of temperature 20°C we have: 2 ( z1 z 2 ) V hL K eV 2 2 g , K e 0.5, 2g 3V 2 32 LV 1.25cm 4 D 2 Based on this analysis the head in the FCD need only be 1.25 cm. However, this height will not overcome the surface tension effects that will resist the water entering the orifice in the bottom of the FCD according to the equation: 1 h 1 (67,000 2 )( r ) m Therefore, if the depth of water in the FCD is 3 cm surface tension should not inhibit the flow. h Analysis of the Prototype: Based on the head and float size requirements, the FCD only needs to be tall enough to accommodate a minimum of 3 cm of water and wide enough to fit a cylindrical float with about a 3.5 cm diameter. However, the actual size of the FCD prototype was determined by the availability and reliability of construction material as well as not be too small to comfortable work with. The idea with the prototype was not to make it absolutely as small as possible, but to demonstrate its functionality at a reasonably small scale. Furthermore, it was constructed to a scale that was sure to be large enough to produce the desire flow rate, overcome surface tension, and withstand a reasonable amount of head so that the goal of showing its utility would not be compromised by making the first attempt too small. The actual dimensions of the prototype are shown in Figure 3. 2 cm 2.3 cm 1.5 cm 2 mm 0.5 cm Rubber tip 4.4 cm PVC stem 11.0 cm 8.3 cm Float mass: 6 grams 6.5 cm 5.2 cm Barb tubing adapter 5.6 cm 9.1 cm IV roller clamp Housing Dimensions: ID = 7.85 cm OD = 8.8 cm IV tubing (~10 drops/mL) 2 mm Figure 3 - Cross-section of the cylindrical prototype FCD with dimensions. The housing material is acrylic plastic and the float material is insulation foam. The IV roller valve is standard medical supply. Using the same analysis for maximum head the FCD can sustain as before, the prototype can theoretically plug 53 m of head above it. Of course, much of the energy of the buoyant force goes into compressing the rubber tip of the plug because the seal is not formed perfectly upon contact. This number was made very large on purpose to ensure that the device would work for sizable head. An experiment to determine the actual maximum head the FCD can withstand would provide a functional relation between the theoretical and actual head a float of a given size could sustain for a given aperture. Realistically, the device does not need to completely plug the orifice at all to create constant flow, but if it can make a water-tight seal for a given head it will certainly be able to control flow from any depth less than or equal to that. The flow rate is controlled by the IV roller clamp which constricts the area of the effluent tubing from its maximum diameter down to a size that inhibits flow. The maximum flow rate is determined by the energy equation in the reverse of the process that was used to determine the minimum head required. The maximum head within the FCD is 8.3 cm. The maximum flow rate will be Q=VmaxAvalve when Avalve=Amax, the maximum area of the valve when the roller clamp is completely open and the diameter D = 2 mm. Solving the energy equation for the velocity produced by an effective Δh = 8.3 +9.1 =17.4 cm (since the clamp is wide open the water in the vertical tube acts as more head) we obtain a quadratic equation for V: 2 ( z1 z 2 ) V hL K eV 2 2 g , K e 0.5, 2g 3V 2 32 LV h 0 4 D 2 Solving yields a maximum exit velocity of V = 43.5 cm/s and a maximum flow rate of 5.9 times the target of 20L/day, which is about 118 L/day. The valve will be capable of completely shutting off the water, so the minimum flow is Q=0. Clearly, the size of the FCD is larger than it needs to be for the given design constraints, but it does provide a wide range of flow rates which encompass the target flow rate. Figure 4 - Assembled prototype. Operator Instructions: Team EHS made it a priority to ensure that the flow control device would be simple to operate and maintain. To set it up, the device must be on an upright stand to ensure that the float will move vertical with respect to the device. After mounting the device, the source should be connected to the inlet. The inlet is a standard 1/4" tube connector, so all that is required to link the device to the source is to push the tubing into the connector until it is snug. After attaching the source, the IV valve on the bottom of the device can be used to adjust the flow rate. Once the device fills up with water it will begin to maintain constant flow. In the event that it is necessary to clean the device, there are three screws which can be removed. Removal of these screws allows access to the inside of the chamber so that it can be thoroughly cleaned. With the exception of the bottom plate, every component of the device can be disassembled. This was done to ensure easy replacement and cleaning of the components. Prototype Testing and Results: As a primary test of the performance of our device, we devised (after some trial and error) an apparatus that would test the ability of our device to achieve constant flow. A picture of the apparatus we used appears below (Fig 5). The narrow tube at the top (diameter = 1 inch) was filled to a height such that the total head above the FCD valve was 69 cm. A 7 kpa pressure sensor was connected above the FCD and measured the decrease in head in the narrow tube at the top. The FCD allowed water to drip into a 10 cm diameter tube. Subsequently, the same apparatus was used to measure the ability of the IV drip valve alone to achieve constant flow. The volume data was converted into flow rate by using of Excel's slope function to average the slope over 50 seconds. Figure 5 - Apparatus used to test performance FCD. Flow Rate (mL/s) Plots of the flow rate against time for the FCD and with the IV valve only appear below. 0.5 0.45 0.4 0.35 0.3 0.25 0.2 0.15 0.1 0.05 0 y = 5E-06x + 0.1645 R2 = 0.067 0 200 400 600 800 Time (seconds) Figure 6 - Flow rate as a function time using the FCD. 1000 1200 1400 0.5 0.45 y = -0.0004x + 0.4544 R2 = 0.9545 Flow Rate (mL/s) 0.4 0.35 0.3 0.25 0.2 0.15 0.1 0.05 0 0 100 200 300 400 500 Time (seconds) Figure 7 - Flow rate as a function of time using the IV drip valve only. If constant flow existed, the plots above would be horizontal lines, and the trendlines would have a slope of zero. Without the constant head float the flow rate (Fig. 7) decreases as a function of time, at a rate of 4*10-4 mL/s2. Using the FCD, the slope of the graph is positive which corresponds to the flow rate increasing as head drops. This makes no physical sense, so we attribute this small positive slope to data noise. In any case, the downward slope using the IV only is two orders of magnitude higher than the slope using the FCD, indicating that our device is much more effective in producing the desired result of constant flow. It is important to note here that during the experiment our FCD was running at a flow rate of approximately 0.17 mL/s which is equal to about 14.7 L/day. This is smaller than our target flow rate of 20 L/day. It is more difficult to produce constant flow at small flow rates, so our results indicate strongly that our device will be able to produce constant flow at the desired rate. Another important characteristic to test is the resistance of our device to clogging. We ran one test in which we showed that our device does not clog using dirty water (about 180 NTU) on a time scale of six hours. Clearly, we must show more than this, and we are currently running a longer study to determine if clogging is a problem on the scale of several days using our device. Recommended Modifications: One issue with our FCD is that the prototype required significant labor to produce. Thus, we are concerned about costs for our device. The cost per device would be mitigated significantly if our device were mass-produced, but we would like to make our device smaller so that it would require less material. We feel that the body of the device could be made shorter and have a smaller diameter. This would also allow for a smaller float diameter. Making these changes would reduce the costs of production of our device. In addition, the float could be made of a different material, such that it would not become water logged over time. If clogging proves to be a problem for our device the first approach to overcome the problem would be to widen the orifices. We will await results from our clogging experiments before making such a decision. Recommendations for Future Research: While our flow control device has thus far proven to be successful at maintaining constant flow, further testing must be conducted. Several repetitions of the experiment cited above should be conducted to produce more data supporting the reliability of the FCD to create constant flow. One of the important tests that has yet to be conducted definitively is a clogging test using turbid water. Ideally, a test of this sort would be conducted for several months to see if the accumulation of particles would lead to eventual failure. However, in a preliminary, short term experiment on the order of six hours in which water of approximately 180 NTU ran through the device no clogging or deviations from constant flow were observed. The device should also be tested to see what maximum head the float can withstand. This will determine in what contexts the device can be successfully implemented. An additional benefit to determining the maximum head will be the ability to shrink the device down to its smallest possible size. A small device allows for more universal application, ease of transport, and lower materials cost. Different materials should also be investigated. While the device may work well when it is operating with water, if it were to be used as part of a chlorination process, there is the concern that some of the materials may react with the chlorine. Therefore, non-corrosive materials should be utilized to ensure universality. While there is still much research to be conducted, we are confident that the design will prove to be successful in overcoming the challenges presented in this problem.