Process Heat Group � Major Challenges � Lecture 2 � 22.033/22.33 – Nuclear Engineering Design Project � September 14, 2011 � MIT Dept. of Nuclear Science and Engineering 22.033/22.33 – Nuclear Design Course Dr. Michael P. Short, 2011 Page 1 The Three Challenge Problems � Heat exchanger (Hx) design Heat transport Heat storage (if necessary) MIT Dept. of Nuclear Science and Engineering 22.033/22.33 – Nuclear Design Course Dr. Michael P. Short, 2011 Page 2 First, Some Nomenclature � Sensible heating – temperature change . � Q = mcpΔ T Latent heating – phase change . Q = m hfg Bond energy storage – enthalpy of chemical reactions MIT Dept. of Nuclear Science and Engineering 22.033/22.33 – Nuclear Design Course Dr. Michael P. Short, 2011 Page 3 Where Do We Find Them? � Courtesy of the Generation IV International Forum. Used with permission. Source: http://www.gen-4.org/Technology/systems/gfr.htm MIT Dept. of Nuclear Science and Engineering 22.033/22.33 – Nuclear Design Course Dr. Michael P. Short, 2011 Page 4 Heat Exchangers – Fundamental Parameters Hx effectiveness (ε) – Measures how much heat is transferred compared to how much is possible ε=1 is ideal, but practically Source: Dean Bartlett. “The Fundamentals of Heat impossible (big Hx) Exchangers” The Industrial Physicist, AIP, p. 20 (1996) © American Institute of Physics. All rights reserved. This content is excluded from our Creative Commons license. For more information, see http://ocw.mit.edu/fairuse. MIT Dept. of Nuclear Science and Engineering 22.033/22.33 – Nuclear Design Course Dr. Michael P. Short, 2011 Page 5 Heat Exchangers – Fundamental Parameters Diagram of heat exchanger removed due to copyright restrictions. See lecture video for details. ***Source: Ramesh K. Shah, Dusan P. Sekulic. Fundamentals of Heat Exchanger Design. John Wiley & Sons, Inc. p. 102 (2003). MIT Dept. of Nuclear Science and Engineering 22.033/22.33 – Nuclear Design Course Dr. Michael P. Short, 2011 Page 6 Heat Exchangers – Fundamental Parameters Q = U·A·F·ΔTlm Q = Heat transfer rate (W) � U = Thermal conductance (W/m2K) � A = Heat transfer area (m2) � ΔTlm = Log mean temperature difference (K) � F = Factor (for flow configuration) MIT Dept. of Nuclear Science and Engineering 22.033/22.33 – Nuclear Design Course Dr. Michael P. Short, 2011 Page 7 Heat Exchangers – Log Mean Temperature Difference (LMTD) Δ Tlm = ( Δ TH − Δ TC ) ⎛ Δ TH ⎞ ln ⎜ ⎟ ⎝ Δ TC ⎠ LMTD is a good measure of the effectiveness of simlar heat � exchangers of different designs � Often, LMTD (counter flow) > LMTD (parallel flow) � MIT Dept. of Nuclear Science and Engineering 22.033/22.33 – Nuclear Design Course Dr. Michael P. Short, 2011 Page 8 Heat Exchangers – Finding Key Parameters Figure 1 – A big, complicated heat � exchanger chart � Source: Wolverine Tube Heat Transfer Data Book, p. 93 (2001), accessed at http://www.wlv.com/products/databook /ch2_5.pdf Courtesy of Wolverine Tube, Inc. Used with permission. MIT Dept. of Nuclear Science and Engineering 22.033/22.33 – Nuclear Design Course Dr. Michael P. Short, 2011 Page 9 Heat Exchangers – Fundamental Parameters For all flow configurations Hx is “balanced” when C* = 1 NTU = Number of Transfer Units © John Wiley & Sons, Inc. All rights reserved. This content is excluded from our Creative Commons license. For more information, see http://ocw.mit.edu/fairuse. ***Source: Ramesh K. Shah, Dusan P. Sekulic. Fundamentals of Heat Exchanger Design. John Wiley & Sons, Inc. p. 116, 118-119 (2003). MIT Dept. of Nuclear Science and Engineering 22.033/22.33 – Nuclear Design Course Dr. Michael P. Short, 2011 Page 10 Hx Flow Types � Heat Exchanger Classification by Flow Arrangement Multi-pass Single-pass Counter-flow Parallel-flow Cross-flow Split-flow Extended surface Divided-flow Shell-and-tube Plate Fluid 1 m passes Crosscounter-flow Crossparallel-flow Compound flow Parallel counter-flow m-shell passes n-tube passes Split-flow Divided-flow Fluid 2 n passes Image by MIT OpenCourseWare. ***After Ramesh K. Shah & Dusan P. Sekulic. Fundamentals of Heat Exchanger Design. John Wiley & Sons, Inc. (2003). MIT Dept. of Nuclear Science and Engineering 22.033/22.33 – Nuclear Design Course Dr. Michael P. Short, 2011 Page 11 Parallel Flow vs. Counterflow � Counter-flow Temperature Temperature Parallel-flow tpi tpi ∆ti tpo ∆ti ∆to tso tpo tso tsi ∆to tsi Image by MIT OpenCourseWare. See http://www.engineeringtoolbox.com/arithmetic-logarithmic-mean-temperature-d_436.html MIT Dept. of Nuclear Science and Engineering 22.033/22.33 – Nuclear Design Course Dr. Michael P. Short, 2011 Page 12 Hx Flow Configurations � Heat Exchanger Classification by Construction Plate-type Tubular PHE Gasketed Spiral Welded Plate coil Extended surface Printed circuit Brazed Plate-fin Double-pipe Shell-and-tube Cross flow to tubes Spiral tube Regenerative Tube-fin Rotary Fixed-matrix Pipe coils Parallel flow to tubes Rotating hoods Ordinary separating wall Heat-pipe wall Image by MIT OpenCourseWare. After Ramesh K. Shah, Dusan P. Sekulic. Fundamentals of Heat Exchanger Design. John Wiley & Sons, Inc. (2003). MIT Dept. of Nuclear Science and Engineering 22.033/22.33 – Nuclear Design Course Dr. Michael P. Short, 2011 Page 13 Hx Flow Configurations - Tubular � Courtesy of Wikipedia User:H Padleckas. Used with permission. Courtesy of Harlan Bengtson. Used with permission. Source: Wikimedia Commons MIT Dept. of Nuclear Science and Engineering 22.033/22.33 – Nuclear Design Course Dr. Michael P. Short, 2011 Page 14 Hx Flow Configurations – Plate Plate (brazed) type © Alfa Biz Limited. All rights reserved. This content is excluded from our Creative Commons license. For more information, see http://ocw.mit.edu/fairuse. Source: http://www.alfa-biz.com/Gasketed-Plate-Heat-Exchanger.asp MIT Dept. of Nuclear Science and Engineering 22.033/22.33 – Nuclear Design Course Spiral type © Jooshgostar Equipments Manufacturing Company (JEMCO). All rights reserved. This content is excluded from our Creative Commons license. For more information, see http://ocw.mit.edu/fairuse. Source: http://www.hiwtc.com/photo/products/16/02/14/21470.jpg Dr. Michael P. Short, 2011 Page 15 Hx Heat Transfer Mechanisms � Other design parameters should largely determine this choice Heat Exchanger Classification by Heat Transfer Mechanism Single-phase convection on both sides Single-phase convection on one side, two-phase convection on other side Two-phase convection on both sides Combined convection and radiative heat transfer Image by MIT OpenCourseWare. After Ramesh K. Shah, Dusan P. Sekulic. Fundamentals of Heat Exchanger Design. John Wiley & Sons, Inc. (2003). MIT Dept. of Nuclear Science and Engineering 22.033/22.33 – Nuclear Design Course Dr. Michael P. Short, 2011 Page 16 Heat Exchangers - Questions � What type to use? � What working fluids? � What geometry? Flow considerations? Laminar or � turbulent? Where is the tradeoff between cost & performance? Materials concerns? See also: T. Kuppan. “Heat exchanger design handbook.” and Som, “Introduction To Heat Transfer. MIT Dept. of Nuclear Science and Engineering 22.033/22.33 – Nuclear Design Course Dr. Michael P. Short, 2011 Page 17 Heat Transport � Main problem: Get process heat from the reactor to the hydrogen & biofuels plants How? Must consider: – – – – Temperatures Losses Flow rates Flow transients MIT Dept. of Nuclear Science and Engineering 22.033/22.33 – Nuclear Design Course Dr. Michael P. Short, 2011 Page 18 Heat Transport – Long Distance � How to model it? – Thermal resistances – FEM – Loop analysis How to pump it? Forced? Gravity? Distance from Rx to H2, biofuel plant is one of the most important parameters MIT Dept. of Nuclear Science and Engineering 22.033/22.33 – Nuclear Design Course Dr. Michael P. Short, 2011 Page 19 Heat Transport - Questions � What are the constraints? (TH-Rx, TC-H2, TC-bio) How far does the heat have to go? Where to take the heat from? How to transport it? How to model it? What/where are losses? Should some of it be stored... MIT Dept. of Nuclear Science and Engineering 22.033/22.33 – Nuclear Design Course Dr. Michael P. Short, 2011 Page 20 Heat Storage � Heat storage is a way to balance out load instabilities (capacitive effect) – Store some heat to run turbines and/or product factories during transients – Can help avoid or delay plants loaddumping or load-following Must balance benefits gained vs. heat lost by storage MIT Dept. of Nuclear Science and Engineering 22.033/22.33 – Nuclear Design Course Dr. Michael P. Short, 2011 Page 21 Heat Storage – Electrical Analogy � Source switch Load, losses (transport, dissipative, hydraulic) � I Reactor Heat storage system Power (current) Courtesy of Prof. Eric C. Toolson. Used with permission. Image source: http://www.unm.edu/~toolson/rc_circuit.html MIT Dept. of Nuclear Science and Engineering 22.033/22.33 – Nuclear Design Course Dr. Michael P. Short, 2011 Page 22 Heat Storage Technologies � Sensible heat storage – Simply apply hot fluid to a material, reverse flow when required Latent heat storage – Uses phase change materials (PCMs) � – Dependent on melting point, heat of fusion Bond energy storage – Dependent on reaction temperature, enthalpy MIT Dept. of Nuclear Science and Engineering 22.033/22.33 – Nuclear Design Course Dr. Michael P. Short, 2011 Page 23 Heat Storage – Sensible Heat Example: Hot gas on alumina fluidized bed © Prof. Reuel Shinnar. All rights reserved. This content is excluded from our Creative Commons license. For more information, see http://ocw.mit.edu/fairuse. Source: R. Shinnar et al. “A novel storage method for concentrating solar power plants allowing operation at high temperature.” DoE Presentation, Boulder, CO (2011). MIT Dept. of Nuclear Science and Engineering 22.033/22.33 – Nuclear Design Course Dr. Michael P. Short, 2011 Page 24 Heat Storage – Sensible Heat � Other proposed & demonstrated storage � media: Molten salt, concrete Thermocline test at Sandia National Laboratories © NREL. All rights reserved. This content is excluded from our Creative Commons license. For more information, see http://ocw.mit.edu/fairuse. © Sandia National Labs. All rights reserved. This content is excluded from our Creative Commons license. For more information, see http://ocw.mit.edu/fairuse. Concrete TES at U. Stuttgart See http://www.nrel.gov/csp/troughnet/thermal_energy_storage.html MIT Dept. of Nuclear Science and Engineering 22.033/22.33 – Nuclear Design Course Dr. Michael P. Short, 2011 Page 25 Heat Storage – Phase Change Materials Source: M. Demirbas. “Thermal Energy Storage and Phase Change Materials: An Overview.” Energy Sources, Part B, 1:85–95, 2006. More compact Layout can be more complicated Salts can be corrosive Graphite foils have been used to improve heat spreading © Taylor and Francis Group, LLC. All rights reserved. This content is excluded from our Creative Commons license. For more information, see http://ocw.mit.edu/fairuse. MIT Dept. of Nuclear Science and Engineering 22.033/22.33 – Nuclear Design Course Dr. Michael P. Short, 2011 Page 26 Heat Storage – Bond Energy � Absorb/Release chemical energy by shifting chemical equilibrium reactions – Change temperature, pressure – Examples: hydration, hydriding, ammonia/salt reactions – Chemical reaction should be reversible MIT Dept. of Nuclear Science and Engineering 22.033/22.33 – Nuclear Design Course Dr. Michael P. Short, 2011 Page 27 Heat Storage – Questions � What temperature(s) is/are required? � What materials to use? � What capacity to use? (kWh, MWh, Gwh) � How does cost scale with size? � What are loss rates & pathways? � When would it be used, if at all? � Where would it be located? � MIT Dept. of Nuclear Science and Engineering 22.033/22.33 – Nuclear Design Course Dr. Michael P. Short, 2011 Page 28 MIT OpenCourseWare http://ocw.mit.edu 22.033 / 22.33 Nuclear Systems Design Project Fall 2011 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms.