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Introduction and Preliminaries

  • Massoud Kaviany
Part of the Mechanical Engineering Series book series (MES)

Abstract

In order to discuss the convective heat transfer in the context of its applications in multiphase systems with or without phase change and reaction, and in order to allow for the analysis of the convective heat transfer at the molecular, phase, and multiphase scales, this chapter reviews some of the preliminaries needed for the discussions in the following chapters. It begins with the spectrum of applications and length scales and after a short review of the historical contributions to the field, gives the scope of the monograph. The various molecular and continuum aspects of the thermophysical properties, phase transitions, and multiphase flows are discussed. The analysis of the convective heat transfer in multiphase systems is addressed beginning with the conservation equations for the most elementary, continuum volume and then moving to the volume averaging over phases. The extent of the rigor in the treatment of the multiphase flow and heat transfer, the applied approximations and simplifications, and the practical, semiempirical models, are addressed. The objective of this treatise, which is an examination of both the convective heat transfer within a medium and that across the interfaces of the various phases, as well as the influence of the heat transfer on the fluid motion, is discussed at the end of this chapter.

Keywords

Heat Transfer Convective Heat Transfer Heat Mass Transfer Multiphase Flow Bubble Nucleation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Andreani, M., and Yadigaroglu, G., 1991, “A Mechanistic Eulerian-Lagrangian Model for Dispersed Flow Film Boiling,” in Phase-Interface Phenomena in Multiphase Flow, Hewitt, G.F., et al., Editors, Hemisphere Publishing Company, Washington, DC.Google Scholar
  2. Aris, R., 1989, Vectors, Tensors, and the Basic Equations of Fluid Mechanics, Dover, New York.MATHGoogle Scholar
  3. Arpaci, V.S., and Larsen, P.S., 1984, Convective Heat Transfer, Prentice-Hall, Englewood Cliffs, NJ.Google Scholar
  4. Avedisian, C.T., 1992, “Homogeneous Bubble Nucleation within Liquids: A Review,” in Two-Phase Flow and Heat Transfer, Kim, J.-H., et al., Editors, ASME HTD Vol. 197, American Society of Mechanical Engineers, New York.Google Scholar
  5. Banerjee, S., 1991, “Turbulence/Interface Interactions,” in Phase-Interface Phenomena in Multiphase Flow, Hewitt, G.F., et al., Editors, Hemisphere Publishing Company, Washington, DC.Google Scholar
  6. Barber, D.J., and Loudon, R., 1989, An Introduction to the Properties of Condensed Matter, Cambridge University Press, Cambridge.Google Scholar
  7. Batchelor, G.K., 1953, The Theory of Homogeneous Turbulence, Cambridge University Press, Cambridge.MATHGoogle Scholar
  8. Bejan, A., 1984, Convection Heat Transfer, John Wiley and Sons, New York.MATHGoogle Scholar
  9. Ben Hadid, H., and Roux, B., 1992, “Buoyancy- and Thermocapillary-Driven Flows in Differentially Heated Cavities for Low Prandtl Number Fluids,” J. Fluid Mech., 235, 1–36.ADSMATHGoogle Scholar
  10. Beysens, D., Straub, J., and Turner, D.J., 1987, “Phase Transitions and Near-Critical Phenomena,” in Fluid Sciences and Materials Science in Space: A European Perspective, Walter, H.U., Editor, Springer-Verlag, Berlin.Google Scholar
  11. Bharathan, D., 1988, “Direct Contact Evaporation,” in Direct Contact Heat Transfer, Kreith, F., and Boehm, R.F., Editors, Hemisphere Publishing Company, Washington, DC.Google Scholar
  12. Bird, R.B., Curtiss, C.F., Armstrong, R.C., and Hassager, O., 1987, Dynamics of Polymeric Liquids, Vol. 2, Kinetic Theory, Second Edition, John Wiley and Sons, New York.Google Scholar
  13. Bird, R.B., Stewart, W.E., and Lightfoot, E.N., 1960, Transport Phenomena, John Wiley and Sons, New York.Google Scholar
  14. Boelter, L.M.K., 1965, Heat Transfer Notes, McGraw-Hill, New York.Google Scholar
  15. Boeltinger, W.J., and Perepezko, J.H., 1993, “Fundamentals of Solidification at High Rates,” in Rapidly Solidified Alloys, Liebermann, H.H., Editor, Marcel Dekker, New York.Google Scholar
  16. Brout, R., 1965, Phase Transitions, W.A. Benjamin, New York.Google Scholar
  17. Brown, M.A., and Churchill, S.W., 1993, “Transient Behavior of Impulsively Heated Fluid,” Chem. Eng. Technol., 16, 82–88.Google Scholar
  18. Burmeister, L.C., 1983, Convective Heat Transfer, John Wiley and Sons, New York.Google Scholar
  19. Callen, H.B., 1985, Thermodynamics and Introduction to Thermostatics, John Wiley and Sons, New York.Google Scholar
  20. Callister, Jr., W.D., 1991, Materials Science and Engineering, Second Edition, John Wiley and Sons, New York.Google Scholar
  21. Carbonell, R.G., and Whitaker, S., 1984, “Heat and Mass Transfer in Porous Media,” in Fundamentals of Transport Phenomena in Porous Media, Bear, J., and Corapcioglu, M.Y., Editors, Martinus Nijhoff Publishers, Dordrecht.Google Scholar
  22. Carey, V.P., 1992, Liquid-Vapor Phase-Change Phenomena, Hemisphere Publishing Corporation, Washington, DC.Google Scholar
  23. Carey, V.P., 1999, “Onset of Homogenous Bubble Nucleation in a Liquid-Filled Micromechanical Actuator with Elastic Walls,” Proceedings of 33rd National Heat Transfer Conference, ASME, New York.Google Scholar
  24. Cebeci, T., and Bradshaw, P., 1984, Physical and Computational Aspects of Convection Heat Transfer, Springer-Verlag, New York.Google Scholar
  25. Chappuis, J., 1982, “Contact Angle,” in Multiphase Science and Technology, 1, 387–505, Hemisphere Publishing Company, Washington, DC.Google Scholar
  26. Chen, J.D., and Wada, N., 1982, “Wetting Dynamics of the Edge of a Spreading Drop,” Phys. Rev. Lett, 62, 3050–3053.ADSGoogle Scholar
  27. Chiang, K.-C., and Tsai, H.-L., 1992, “Shrinkage Induced Fluid Flow and Domain Change in Two-Dimensional Alloy Solidification,” Int. J. Heat Mass Transfer, 35, 1763–1770.Google Scholar
  28. Clift, R., Grace, J.R., and Weber, M.E., 1978, Bubbles, Drops and Particles, Academic Press, New York.Google Scholar
  29. Davidson, J.F., Clift, R., and Harrison, D., Editors, 1985, Fluidization, Second Edition, Academic Press, London.Google Scholar
  30. Defay, R., and Prigogine, I., 1966, Surface Tension and Absorption, John Wiley and Sons, New York,Google Scholar
  31. de Gennes, P.G., Hua, X., and Levinson, P., 1990, “Dynamics of Wetting: Local Contact Angles,” J. Fluid Mech., 212, 55–63.MathSciNetADSMATHGoogle Scholar
  32. Desloge, E.A., 1968, Thermal Physics, Holt, Rinehart and Winston, New York.Google Scholar
  33. Domb, C., and Green, M.S., 1972, Phase Transitions and Critical Phenomena, Vols. 1 and 2, Academic Press, London.Google Scholar
  34. Duckler, A.E., Fabre, J.A., McQuillen, J.B., and Vernon, R., 1988, “Gas-Liquid Flow at Microgravity Conditions: Flow Pattern and Their Transitions,” Int. J. Multiphase Flow, 14, 389–400.Google Scholar
  35. Dussan V.E.B., Ramé, E., and Garoff, S., 1991, “On Identifying the Appropriate Boundary Conditions at a Moving Contact Line: An Experimental Investigation,” J. Fluid Mech., 230, 97–116.ADSGoogle Scholar
  36. Eckert, E.R.G., 1981, “Pioneering Contributions to our Knowledge of Convective Heat Transfer,” ASME J. Heat Transfer, 103, 409–414.Google Scholar
  37. Eckert, E.R.G., and Drake, R.M., 1972, Analysis of Heat and Mass Transfer, McGraw-Hill, New York.MATHGoogle Scholar
  38. Emmons, H.W., 1956, “The Film Combustion of Liquid Fuel,” Z. Angew. Math. Mech., 36, 60–71.MATHGoogle Scholar
  39. Fan, L.-S., 1989, Gas-Liquid-Solid Fluidization Engineering, Butterworths, Boston.Google Scholar
  40. Fujii, T., 1991, Theory of Laminar Film Condensation, Springer-Verlag, New York.MATHGoogle Scholar
  41. Fujino, T., Yokoyama, Y., and Mori, Y.H., “Augmentation of Laminar Forced-Convective Heat Transfer by the Application of a Transverse Electric Field,” ASME J. Heat Transfer, 111, 345–351.Google Scholar
  42. Gebhart, B., 1979, “Buoyancy-Induced Fluid Motions Characteristic of Application in Technology, 1978 Freeman Scholar Lecture,” ASME J. Fluid Eng., 101, 5–28.Google Scholar
  43. Gebhart, B., Jaluria, Y., Mahajan, R.L., and Sammakia, B., 1988, Buoyancy-Induced Flows and Transport, Hemisphere Publishing Corporation, Washington, DC.MATHGoogle Scholar
  44. Gerwick, V., and Yadigaroglu, G., 1992, “A Local Equation of State for a Fluid in the Presence of a Wall and its Application to Rewetting,” Int. J. Heat Mass Transfer, 35, 1823–1832.Google Scholar
  45. Giot, M., 1982, “Three-Phase Flow,” in Handbook of Multiphase Systems, Hestroni, G., Editor, Hemisphere Publishing Corporation, Washington, DC.Google Scholar
  46. Goldstein, R.J., 1971, “Film Cooling,” Adv. Heat Transfer, 7, 321–379.Google Scholar
  47. Goodstein, D.L., 1975, States of Matter, Prentice-Hall, Englewood Cliffs, NJ.Google Scholar
  48. Gopinath, A., and Mills, A.F., 1993, “Convective Heat Transfer from a Sphere due to Acoustic Streaming,” ASME J. Heat Transfer, 115, 332–341.Google Scholar
  49. Grace, J.R., 1982a, “Fluidized Bed Heat Transfer,” in Handbook of Multiphase Systems, Hestroni, G., Editor, Hemisphere Publishing Corporation, Washington, DC.Google Scholar
  50. Grace, J.R., 1982b, “Fluidized Bed Hydrodynamics,” in Handbook of Multiphase Systems, Hestroni, G., Editor, Hemisphere Publishing Corporation, Washington, DC.Google Scholar
  51. Grace, J.R., 1986, “Contacting Modes and Behavior Classification of Gas-Solid and Other Two-Phase Suspensions,” Can. J. Chem. Eng., 64, 353–363.Google Scholar
  52. Gray, C.G., and Gubbins, K.E., 1984, Theory of Molecular Fluids, Oxford University Press, Oxford.MATHGoogle Scholar
  53. Gray, D.D., and Giorgini, A., 1976, “The Validity of the Boussinesq Approximation for Liquids and Gases,” Int. J. Heat Mass Transfer, 19, 545–551.MATHGoogle Scholar
  54. Gregg, S.J., and Sing, K.S.W., 1982, Adsorption, Surface Area and Porosity, Second Edition, Academic Press, London.Google Scholar
  55. Griffith, P., 1982, “Condensation,” in Handbook of Multiphase Systems, Hestroni, G., Editor, Hemisphere Publishing Corporation, Washington, DC.Google Scholar
  56. Hewitt, G.E., 1982, “Flow Regimes,” in Handbook of Multiphase Systems, Hestroni, G., Editor, Hemisphere Publishing Corporation, Washington, DC.Google Scholar
  57. Hirschfelder, J.O., Curtiss, C.F., and Bird, R.B., 1954, Molecular Theory of Gases and Liquids, John Wiley and Sons, New York.MATHGoogle Scholar
  58. Hocking, L.M., 1992, “Rival Contact-Angle Models of the Spreading of Drops,” J. Fluid Mech., 239, 671–681.MathSciNetADSMATHGoogle Scholar
  59. Hocking, L.M., 1993, “The Influence of Intermolecular Forces on Thin Fluid Layers,” Phys. Fluids, A5, 793–799.ADSGoogle Scholar
  60. Hockney, R.W., and Eastwood, J.W., 1989, Computer Simulation Using Particles, Adam Hilger, Bristol.Google Scholar
  61. Homsy, G.M., Jackson, R.J., and Grace, J.R., 1992, “Report of a Symposium on Mechanics of Fluidized Beds,” J. Fluid Mech., 230, 477–495.ADSGoogle Scholar
  62. Howell, J.R., and Buckius, R.O., 1992, Fundamentals of Engineering Thermodynamics, McGraw-Hill, New York.Google Scholar
  63. Hsieh, J.-S., 1975, Principles of Thermodynamics, McGraw-Hill, New York.Google Scholar
  64. Huppert, H.E., and Turner, J.S., 1981, “Double Diffusive Convection,” J. Fluid Mech., 106, 299–329.ADSMATHGoogle Scholar
  65. Hurle, D.T.J., and Jakeman, E., 1971, “Soret-Driven Thermosolutal Convection,” J. Fluid Mech., 47, 667–687.ADSGoogle Scholar
  66. Incropera, F.P., 1974, Introduction to Molecular-Structure and Thermodynamics, John Wiley and Sons, New York.Google Scholar
  67. Incropera, F.P., and De Witt, D.P., 1990, Introduction to Heat Transfer, Second Edition, John Wiley and Sons, New York.Google Scholar
  68. Ishikubo, Y., Ishida, K., and Mori, Y.H., 1992, “Behavior of Hydrocarbon Liquid Dipped onto the Surface of a Flowing Water Layer,” Int. J. Heat Mass Transfer, 35, 1559–1604.Google Scholar
  69. Jacobs, H.R., 1988a, “Direct Contact Condensation,” in Direct Contact Heat Transfer, Kreith, F., and Boehm, R.F., Editors, Hemisphere Publishing Corporation, Washington, DC.Google Scholar
  70. Jacobs, H.R., 1988b, “Direct-Contact Heat Transfer for Process Technologies,” ASME J. Heat Transfer, 110, 1259–1270.Google Scholar
  71. Jacobs, H.R., and Golafshani, M., 1989, “A Heuristic Evaluation of the Governing Mode of Heat Transfer in a Liquid-Liquid Spray Column,” ASME J. Heat Transfer, 111, 773–779.Google Scholar
  72. Jakob, M., and Hawkins, G.A., 1957, Elements of Heat Transfer, John Wiley and Sons, New York.Google Scholar
  73. Jean, R.-H., and Fan, L.-S., 1990, “Rise Velocity and Gas-Liquid Mass Transfer of a Single Large Bubble in Liquids and Liquid-Solid Fluidized Beds,” Chem. Engng. Sci., 45, 1057–1070.Google Scholar
  74. Jones, T.B., 1978, “Electrohydrodynamically Enhanced Heat Transfer in Liquids,” Advan. Heat Transfer, 14, 107–148.Google Scholar
  75. Kaviany, M., 1999, Principles of Heat Transfer in Porous Media, Corrected Second Edition, Springer-Verlag, New York.Google Scholar
  76. Kaviany, M., 2001, Principles of Heat Transfer, John Wiley and Sons, New York, in press.Google Scholar
  77. Kaviany, M., and Vogel, M., 1986, “Effects of Solute Concentration Gradient on the Onset of Convection: Uniform and Nonuniform Initial Gradients,” ASME J. Heat Transfer, 108, 776–782.Google Scholar
  78. Kays, W.H., 1966, Convective Heat and Mass Transfer, McGraw-Hill, New York.Google Scholar
  79. Kays, W.M., and Crawford, M.E., 1993, Convective Heat and Mass Transfer, Third Edition, McGraw-Hill, New York.Google Scholar
  80. Keanini, R.G., and Rubinsky, B., 1993, “Three Dimensional Simulation of the Plasma Arc Welding Process,” Int. J. Heat Mass Transfer, 36, 3283–3298.MATHGoogle Scholar
  81. Kim, C.-J., and Kaviany, M., 1992, “A Numerical Method for Phase-Change Problems with Convection and Diffusion,” Int. J. Heat Mass Transfer, 35, 457–467.MATHGoogle Scholar
  82. Kim, S.D., Kang, Y., and Kwon, H.K., 1986, “Heat Transfer Characteristics in Two- and Three-Phase Slurry-Fluidized Beds,” AIChE J., 32, 1397–1400.Google Scholar
  83. Kreith, F., and Boehm, R.F., Editors, 1988, Direct Contact Heat Transfer, Hemisphere Publishing Corporation, Washington, D..Google Scholar
  84. Kutateladze, S.S., 1963, Fundamentals of Heat Transfer, English Edition, Academic Press, New York.MATHGoogle Scholar
  85. Lahey, Jr., R.T., and Drew, D.A., 1990, “The Current State-of-the-Art in the Modeling of Vapor/Liquid Two-Phase Flows,” ASME Paper no. 90-WA/HT-13, American Society of Mechanical Engineers, New York.Google Scholar
  86. Lahey, Jr., R.T., and Lopez de Bertodano, M., 1991, “The Prediction of Phase Distribution Using Two-Fluid Models,” Proceedings of the ASME/JSME Joint Thermal Engineering Conference, Vol. 2, 193–200, American Society of Mechanical Engineers, New York.Google Scholar
  87. Lai, W.M., Rubin, D., and Kreaple, E., 1978, Introduction to Continuum Mechanics, Pergamon Press, Oxford.MATHGoogle Scholar
  88. Landau, L.D., and Lifshitz, E.M., 1968, Fluid Mechanics, Addison-Wesley, Reading, MA.Google Scholar
  89. Layton, E.T., Jr., and Lienhard, J.H., Editors, 1988, History of Heat Transfer, American Society of Mechanical Engineers, New York.Google Scholar
  90. Lee, L.L., 1988, Molecular Thermodynamics of Nonideal Fluids, Butterworths, Boston.Google Scholar
  91. Letan, R., 1988, “Liquid-Liquid Processes,” in Direct Contact Heat Transfer, Kreith, F., and Boehm, R.F., Editors, Hemisphere Publishing Corporation, Washington, DC.Google Scholar
  92. Levich, V.G., and Krylov, V.S., 1969, “Surface-Tension-Driven Phenomena,” Ann. Rev. Fluid Mech., 1, 293–317.ADSGoogle Scholar
  93. Levine, I.N., 1988, Physical Chemistry, Third Edition, McGraw-Hill, New York.Google Scholar
  94. Lienhard, J.H., and Karimi, A., 1978, “Corresponding State Correlations of the Extreme Liquid Superheat and Vapor Subcooling,” ASME J. Heat Transfer, 100, 492–495.Google Scholar
  95. Lienhard, J.H., and Karimi, A., 1981, “Homogeneous Nucleation and the Spinodal Line,” ASME J. Heat Transfer, 103, 61–64.Google Scholar
  96. Lienhard, J.H., Shamsundar, N., and Biney, D.O., 1986, “Spinodal Lines and Equation of State: A Review,” Nuc. Eng. Des., 95, 297–314.Google Scholar
  97. Lienhard V.J.H., Liu, X., and Gabour, L.A., 1992, “Splattering and Heat Transfer During Impingement of a Turbulent Liquid Jet,” ASME J. Heat Transfer, 114, 362–372.Google Scholar
  98. Liepmann, H.W., and Roshko, A., 1967, Elements of Gasdynamics, John Wiley and Sons, New York.Google Scholar
  99. Liley, P.E., 1985, “Thermophysical Properties,” in Handbook of Heat Transfer: Fundamentals, Chapter 3, Rosenow, W.M., et al., Editors, McGraw-Hill, New York.Google Scholar
  100. Lin, Y.-T., Choi, M., and Grief, R., 1992, “A Three-Dimensional Analysis of Particle Deposition for the Modified Chemical Vapor Deposition,” J. Heat Transfer, 114, 735–742.Google Scholar
  101. Liñán, A., and Williams, F.A., 1993, Fundamental Aspects of Combustion, Oxford University Press, New York.Google Scholar
  102. Luikov, A.V., and Berkovsky, B.M., 1970, “Thermoconvective Waves,” Int. J. Heat Mass Transfer, 13, 741–747.Google Scholar
  103. Mahajan, R.L., and Wei, C., 1991, “Buoyancy, Soret, Dufour and Variable Property Effects in Silicon Epitaxy,” ASME J. Heat Transfer, 113, 688–695.Google Scholar
  104. Mandelis, A., Editor, 1987, Photoacoustic and Thermal Wave Phenomena in Semiconductors, North Holland, New York.Google Scholar
  105. Martin, P.J., and Richardson, A.T., 1984, “Conductivity Models of Electrothermal Convection in a Plane Layer of Dielectric Liquid,” ASME J. Heat Transfer, 106, 131–142.Google Scholar
  106. Maxworthy, T., 1983, “The Dynamics of Double-Diffusive Gravity Currents,” J. Fluid Mech., 128, 259–282.ADSGoogle Scholar
  107. Merkli, P., and Thomann, H., 1975, “Thermoacoustic Effects in a Resonance Tube,” J. Fluid Mech., 1970, 161–177.ADSGoogle Scholar
  108. Miller, C.A., and Ruckenstein, E., 1974, “The Origin of Flow During Wetting of Solids,” J. Colloid Interface Sci., 48, 368–373.Google Scholar
  109. Moelwyn-Hughes, E.A., 1961, States of Matter, Oliver and Boyd, Edinburgh.Google Scholar
  110. Mullett, L., 1993, “The Role of Buoyant Thermals in Salt Gradient Solar Ponds and in Convection More Generally,” Int. J. Heat Mass Transfer, 36, 1923–1941.Google Scholar
  111. Mullins, W.W., and Sekerka, R.F., 1964, “Stability of a Planar Interface During Solidification of a Dilute Binary Alloy,” J. Appl. Phys., 35, 444–451.ADSGoogle Scholar
  112. Nghiem, L., Merte, H., Winter, E.R.F., and Beer, H., 1981, “Prediction of Transient Inception of Boiling in Terms of Heterogeneous Nucleation Theory,” ASME J. Heat Transfer, 103, 69–73.Google Scholar
  113. Oswatitsch, K., and Wieghardt, K., 1987, “Ludwig Prandtl and His Kaiser-Wilhelm-Institute,” Ann. Rev. Fluid Mech., 19, 1–27.Google Scholar
  114. Oued El Moctar, A., Peerhussaini, H., Le Peurian, P., and Bardon, J.P., 1993, “Ohmic Heating of Complex Fluids,” Int. J. Heat Mass Transfer, 36, 3143–3152.Google Scholar
  115. Ozisik, M.N., 1985, Radiative Transfer and Interactions with Conduction and Convection, Werbel and Peck, New York.Google Scholar
  116. Ozoe, H., Sato, N., and Churchill, S.W., 1980, “The Effect of Various Parameters on Thermoacoustic Convection,” Chem. Eng. Comm., 5, 203–221.Google Scholar
  117. Platten, J.K., and Legros, J.C., 1984, Convection in Liquids, Springer-Verlag, Berlin.MATHGoogle Scholar
  118. Prausnitz, J.M., Lichtenther, R.N., and de Azevedo, E.G., 1986, Molecular Thermodynamics of Fluid-Phase Equilibria, Second Edition, Prentice-Hall, Englewood Cliffs, NJ.Google Scholar
  119. Probstein, R.F., 1989, Physiochemical Hydrodynamics, Butterworths, Boston.Google Scholar
  120. Prutton, M., 1987, Surface Physics, Oxford University Press, Oxford.Google Scholar
  121. Reid, R.C., Prausnitz, J.M., and Poling, B.E., 1987, The Properties of Gases and Liquids, McGraw-Hill, New York.Google Scholar
  122. Rivas, D., and Ostrach, S., 1992, “Scaling of Low-Prandtl-Number Thermocapillary Flows,” Int. J. Heat Mass Transfer, 35, 1469–1479.ADSMATHGoogle Scholar
  123. Rohsenow, W.H., 1982, “General Boiling,” in Handbook of Multiphase Systems, Hestroni, G., Editor, Hemisphere Publishing Corporation, Washington, DC.Google Scholar
  124. Rott, N., 1974, “The Heating Effect Connected with Non-Linear Oscillation in a Resonance Tube,” J. Appl. Math. Phys. (ZAMP), 25, 619–634.Google Scholar
  125. Rott, N., 1980, “Thermoacoustics,” Advan. Appl. Mech., 20, 135–175.ADSMATHGoogle Scholar
  126. Rowlinson, J.S., and Widom, B., 1989, Molecular Theory of Capillarity, Oxford University Press, Oxford.Google Scholar
  127. Saito, A., Okawa, S., Tojiki, A., Une, H., and Tanogashira, K., 1992, “Fundamental Research on External Factors Affecting the Freezing of Supercooled Water,” Int. J. Heat Mass Transfer, 35, 2527–2536.Google Scholar
  128. Sakurai, A., and Shiotsu, M., 1992, “Pool Film Boiling Heat Transfer and Minimum Film Boiling Temperatures,” in Pool and External Flow Boiling, Dhir, V.K., and Bergeis, A.E., Editors, American Society of Mechanical Engineers, New York.Google Scholar
  129. Satake, M., and Jenkins, J.T., Editors, 1988, Micromechanics of Granular Materials, Elsevier, Amsterdam.MATHGoogle Scholar
  130. Satrape, J.V., 1992, “Interactions and Collisions of Bubbles in Thermocapillary Motion,” Phys. Fluids, A4, 1883–1900.ADSGoogle Scholar
  131. Saxena, S.C., 1988, “Heat Transfer Between Immersed Surfaces and Gas-Fluidized Beds,” Adv. Heat Transfer, 19, 97–190.Google Scholar
  132. Saxena, S.C., 1989, “Heat Transfer Between Immersed Surfaces and Gas-Fluidized Beds,” in Adv. Heat Transfer, 19, 97–190.Google Scholar
  133. Saxena, S.C., Rao, N.S., and Saxena, A.C., 1992, “Heat Transfer and Gas Holdup Studies in a Bubble Column: Air-Water-Sand System,” Can. J. Chem. Eng., 70, 33–41.Google Scholar
  134. Schlichting, H., 1979, Boundary-Layer Theory, Seventh Edition, McGraw-Hill, New York.MATHGoogle Scholar
  135. Sherman, F.S., 1990, Viscous Flow, McGraw-Hill, New York.MATHGoogle Scholar
  136. Simpkins, P.G., Greenberg-Kosinski, S., and MacChesney, J.B., 1979, “Thermophresis: The Mass Transfer Mechanism in Modified Chemical Vapor Deposition,” J. Appl. Phys., 50, 5676–5681.ADSGoogle Scholar
  137. Skripov, V.P., 1974, Metastable Liquids, John Wiley and Sons, New York.Google Scholar
  138. Slattery, J.C., 1981, Momentum, Energy, and Mass Transfer in Continua, Second Edition, R.E. Krieger Publishing Company, Huntington, NY.Google Scholar
  139. Slattery, J.C., 1990, Interfacial Transport Phenomena, Springer-Verlag, New York.Google Scholar
  140. Somorjai, G.A., 1994, Introduction to Surface Chemistry and Catalysis, John Wiley and Sons, New York.Google Scholar
  141. Sonntag, R.E., and Van Wylen, G.J., 1982, Introduction to Thermodynamics, Classical and Statistical, Second Edition, John Wiley and Sons, New York.Google Scholar
  142. Soo, S.-L., 1989, Particulates and Continuum, Hemisphere Publishing Corporation, Washington, DC.MATHGoogle Scholar
  143. Spradley, L.W., and Churchill, S.W., 1975, “Pressure and Buoyancy-Driven Thermal Convection in a Rectangular Enclosure,” J. Fluid Mech., 70, 705–720.ADSGoogle Scholar
  144. Springer, G.S., 1978, “Homogeneous Nucleation,” Advan. Heat Transfer, 14, 281–346.Google Scholar
  145. Stanley, H.E., 1987, Introduction to Phase Transitions and Critical Phenomena, Oxford University Press, Oxford.Google Scholar
  146. Stephan, K., and Biermann, J., 1992, “The Photoacoustic Technique as a Convenient Instrument to Determine Thermal Diffusivity of Gases,” Int. J. Heat Mass Transfer, 35, 605–612.Google Scholar
  147. Swift, G.W., 1988, “Thermoacoustic Engines,” J. Acoust. Soc. Amer., 84, 1145–1180.ADSGoogle Scholar
  148. Szekely, J., Evans, J.W., and Brimacombe, J.K., 1988, The Mathematical and Physical Modeling of Primary Metals Processing Operations, John Wiley and Sons, New York.Google Scholar
  149. Talbot, L., Cheng, R.K., Schefer, R.W., and Willis, D.R., 1980, “Thermophresis of Particles in a Heated Boundary Layer,” J. Fluid Mech., 101, 737–758.ADSGoogle Scholar
  150. Taylor, G.I., 1953, “Dispersion of Soluble Matter in Solvent Flowing Slowly Through a Tube,” Proc. Roy. Soc. (London), A219, 186–203.ADSGoogle Scholar
  151. Tien, C.-L., 1961, “Heat Transfer by a Turbulently Flowing Fluid-Solid Mixture in a Pipe,” ASME J. Heat Transfer, 83, 183–188.Google Scholar
  152. Tien, C.-L., and Lienhard, J.H., 1971, Statistical Thermodynamics, Holt, Rinehart and Winston, New York.Google Scholar
  153. Truesdell, C., and Noll, W., 1992, The Non-Linear Field Theories of Mechanics, Second Edition, Springer-Verlag, Berlin.MATHGoogle Scholar
  154. Turnbull, R.J., “Electro-Convective Instability with a Stabilizing Temperature Gradient. I. Theory,” Phys. Fluids, 11, 2588–2596.Google Scholar
  155. Turner, J.S., 1979, Buoyancy Effects in Fluids, Cambridge University Press, Cambridge.MATHGoogle Scholar
  156. van Swaaij, W.P.M., and Afgan, N.H., Editors, 1986, Heat and Mass Transfer in Fixed and Fluidized Beds, Hemisphere Publishing Company, Washington, DC.Google Scholar
  157. Venkatesan, S.P., Shakkotlai, P., Kwack, E.Y., and Bach, L.H., 1989, “Acoustic Temperature Profile Measurement Technique for Large Combustion Chambers,” ASME J. Heat Transfer, 111, 461–466.ADSGoogle Scholar
  158. Vere, A.W., 1987, Crystal Growth, Principles and Progress, Plenum Press, New York.Google Scholar
  159. Villers, D., and Platten, J.K., 1992, “Coupled Buoyancy and Marangoni Convection in a Cavity: Experiments and Comparison with Numerical Simulations,” J. Fluid Mech., 234, 487–510.ADSGoogle Scholar
  160. Vortmeyer, D., and Schaefer, R.J., 1974, “Equivalence of One- and Two-Phase Models for Heat Transfer Processes in Packed Beds: One-Dimensional Theory,” Chem. Engng. Sci., 29, 485–491.Google Scholar
  161. Wakao, N., and Kaguei, S., 1982, Heat and Mass Transfer in Packed Beds, Gordon and Breach Science Publishers, New York.Google Scholar
  162. Walker, K.L., Homsy, G.M., and Geyling, F.T., 1979, “Thermophoretic Deposition of Small Particles in Laminar Tube Flow,” J. Colloid Interface Sci., 69, 138–147.Google Scholar
  163. Walton, A.J., 1989, Three Phases of Matter, Second Edition, Oxford University Press, Oxford.Google Scholar
  164. Whalley, P.B., 1987, Boiling, Condensation, and Gas-Liquid Flow, Oxford University Press, Oxford.Google Scholar
  165. Whitaker, S., 1991, “Improved Constraints for the Principle of Local Thermal Equilibrium,” Ind. Eng. Chem. Res., 30, 983–997.Google Scholar
  166. White, F.M., 1974, Viscous Fluid Flow, McGraw-Hill, New York.MATHGoogle Scholar
  167. Williams, M.M.R., 1988, “The Thermophoretic Force in Knudsen Regime Near a Wall,” Phys. Fluids, 31, 1051–1057.ADSMATHGoogle Scholar
  168. Woods, L.C., 1993, An Introduction to the Kinetic Theory of Gases and Magnetoplasmas, Oxford University Press, Oxford.MATHGoogle Scholar
  169. Wu, R.L., Lim, C.J., Grace, J.R., and Brereton C.M.H., 1991, “Instantaneous Local Heat Transfer and Hydrodynamics in a Circulating Fluidized Bed,” Int. J. Heat Mass Transfer, 34, 2019–2027.Google Scholar
  170. Yamamoto, K., and Ishihara, Y., 1988, “Thermophoresis of a Spherical Particle in a Rarefied Gas of a Transition Regime,” Phys. Fluids, 31, 3618–3624.ADSMATHGoogle Scholar
  171. Yao, S.-C., 1993, “Dynamics and Heat Transfer of Impacting Sprays,” Ann. Rev. Heat Transfer, V, 351–382.Google Scholar
  172. Zappoli, B., 1992, “The Response of a Nearly Supercritical Pure Fluid to a Thermal Disturbance,” Phys Fluids, A4, 1040–1048.ADSGoogle Scholar
  173. Zimmerman, G., and Müller, U., 1992, “Bénard Convection in a Two-Component System with Soret Effects,” Int. J. Heat Mass Transfer, 35, 2245–2256.Google Scholar
  174. Zimmerman, G., Müller, U., and Davis, S., 1992, “Bénard Convection in Binary Mixture with Soret Effects and Solidification,” J. Fluid Mech., 230, 657–682ADSGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • Massoud Kaviany
    • 1
  1. 1.Department of Mechanical Engineering and Applied MechanicsUniversity of MichiganAnn ArborUSA

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