TECHNICAL PAPERS: Porous Media, Particles, and Droplets

Formulation and Numerical Solution of Non-Local Thermal Equilibrium Equations for Multiple Gas/Solid Porous Metal Hydride Reactors

[+] Author and Article Information
George M. Lloyd

Department of Civil and Materials Engineering, University of Illinois at Chicago, 842 West Taylor Street, Chicago, IL 60607e-mail: lloydg@asme.org/glloyd@uic.edu

A. Razani, Kwang J. Kim

Department of Mechanical Engineering, University of New Mexico, Albuquerque, NM 87106

J. Heat Transfer 123(3), 520-526 (Dec 06, 2000) (7 pages) doi:10.1115/1.1370521 History: Received October 25, 1999; Revised December 06, 2000
Copyright © 2001 by ASME
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Dantzer,  P., 1997, “Metal-Hydride Technology: A Critical Review,” in Hydrogen in Metals III. Properties and Applications, H. Wipf, ed., Top. Appl. Phys., 73, Springer-Verlag, New York, pp. 279–340.
Kim,  K. J., Feldman,  K. T., Lloyd,  G., Razani,  A., and Shanahan,  K. L., 1998, “Performance of High Power Metal Hydride Reactors,” Int. J. Hydrogen Energy, 23 (5), pp. 355–362.
Lloyd,  G., Kim,  K. J., Razani,  A., and Feldman,  K. T.1998, “Thermal Conductivity Measurements of Metal Hydride Compacts Developed for High Power Reactors,” J. Thermophys. Heat Transfer, 12 (1), pp. 132–137.
Lloyd,  G., Razani,  A., and Feldman,  K. T.1998, “Transitional Reactor Dynamics Affecting Optimization of a Heat-Driven Metal Hydride Refrigerator,” Int. J. Heat Mass Transf., 41 (3), pp. 513–427.
Lloyd,  G., Razani,  A., and Kim,  K. J., 1998, “Performance Characteristics of a Compressor-Driven Metal Hydride Refrigerator,” J. Energy Resour. Technol., 120 (4), pp. 305–313.
Kuznetsov,  A. V., 1997, “Optimal Control of the Heat Storage in a Porous Slab,” Int. J. Heat Mass Transf., 40 (7), pp. 1720–1723.
Kuznetsov,  A. V., 1996, “Investigation of a Non-Thermal Equilibrium Flow of an Incompressible Fluid in a Cylindrical Tube Filled with Porous Media,”Zeitschrift für Angewandte Mathematik und Mechanik , 76(6), pp. 411–418.
Vu Dang,  C., and Delcambre,  B., 1987, “Etude Expérimentale et Modélisation d’un Stockage Thermique de Longue Durée en Lit de Cailloux Enterré, Couplé à des Capteurs Solaires à Air,” Rev. Phys. Appl., 22, pp. 487–503.
Jemni,  A., and Nasrallah,  S. B., 1995, “Study of Two-Dimensional Heat and Mass Transfer During Desorption in a Metal-Hydrogen Reactor,” Int. J. Hydrogen Energy, 20 (11), pp. 881–891.
Mhimid,  A., 1998, “Theoretical Study of Heat and Mass Transfer in a Zeolite Bed During Water Desorption: Validity of Local Thermodynamic Equilibrium Assumption,” Int. J. Heat Mass Transf., 41, pp. 2967–2977.
Kuznetsov,  A. V., and Vafai,  K., 1995, “Analytical Comparison and Criteria for Heat and Mass Transfer Models in Metal Hydride Packed Beds,” Int. J. Heat Mass Transf., 38 (15), pp. 2873–2884.
Lloyd, G. M., 1998, “Optimization of Heat and Mass Transfer in Metal Hydride Systems.” Ph.D. thesis, University of New Mexico, Albuquerque, NM.
Kaviany, M., 1995, Principles of Heat Transfer in Porous Media, 2nd ed., Springer-Verlag, New York.
Fukuda,  K., Tetsuya,  K., and Haseqawa,  S., 1992, “Similarity Rule Between Heat Transfer and Pressure Drop of Porous Material,” AIChE J., 38 (11), pp. 1840–1842.
Lloyd, G., Razani, A., and Feldman, K. T., 1995, “Fundamental Issues Involved in a Theoretical Description of the Heat and Hydrogen Transfer Occurring in Coupled Porous Metal Hydride Reactors,” Proceedings of the ASME Int. Mech. Eng. Cong. & Exp., San Francisco, HTD-Vol. 321/FED-Vol. 233 , pp. 671–681.
Reid,  C. R., and Oakberg,  R. G., 1990, “A Continuum Theory for the Mechanical Response of Materials to the Thermodynamic Stress of Sintering,” Mech. Mater., 10, pp. 203–213.
White, F. M., 1991, Viscous Fluid Flow, 2nd ed., McGraw-Hill Inc., p. 50.
Strikwerda, J. C., 1989, Finite Difference Schemes and Partial Differential Equations, Chapman & Hall, Ltd., London.
Lloyd, G. M., 1994, “Transient Heat/Mass Transfer Modeling of Metal Hydride Cycles,” M.S. thesis, University of New Mexico, Albuquerque, NM.
Ames, W. F., 1992, Numerical Methods for Partial Differential Equations, 3rd ed., Academic Press Inc., San Diego, CA, p. 73.
Nobles, M. A., 1974, Using the Computer to Solve Petroleum Engineering Problems, Gulf Publishing Company, Houston, CA, p. 405.
Ramshaw,  J. D., and Chang,  C. H., 1992, “Computational Fluid Dynamics Modeling of Multicomponent Thermal Plasmas,” Plasma Chem. Plasma Process., 12 (3), pp. 299–325.
Roache, P. J., 1993, “A Method for Uniform Reporting of Grid Refinement Studies,” Quantification of Uncertainty in Computational Fluid Dynamics, I. Celik, ed., American Society of Mechanical Engineers, Fluids Engineering Division, FED-158 , pp. 109–120.


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Block diagram of the heat pump system studied in the paper (left and middle). Two reactors exchange hydrogen during a cycle, and each communicates with three thermal reservoirs (right) photograph of experimental reactor.
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Boundary region at r0,t. Hydrogen at Tf(r0,t) is injected into the reactor with interface phase temperatures Tf(r0,t) and Ts(r0,t)
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Schematic diagram of conditions existing at the microscopic level dictating idealizations made for interface boundary conditions
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Stability and convergence study of numerical method. Bottom plot: Effect of λ on boundary transport of H2, for varying λ and constant zone size of Δr=0.40 (mm). Top plot: variation in integral error for two grid sizes.
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Temperature difference, TT−Ts, field for hsf=100 (W/m2⋅K)
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Temperature difference, TT−Ts, field for hsf=1000 (W/m2⋅K). Dashed lines demarcate regions of significant NLTE effects.
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Hydrogen desorption rate, φ̇ for hsf=100 (W/m2⋅K)
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Overlay of hydrogen concentration, x for hsf=100 (W/m2⋅K) (solid) with LTE (dashed)
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Comparison of two dimensionless criteria for local thermal equilibrium near the regenerator injection boundary




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