Abstract
A continuum theory of non-equilibrium transports of mass, momentum and energy accompanied by a phase change across an interface between two different fluids is developed. An exact solution of the governing differential system is obtained for the case of constant rate rapid evaporation or condensation due to differential heating or cooling across a flat interface in a microgravity environment. The results of the solution are used to demonstrate that the heat transfer to the interface is not only to change the phase of fluid but also to impart momentum and kinetic energy to the vapor and host dry gas mixture. The fraction of the heat transfer which is not used for the phase change is shown to be quite significant in some certain cases. An exact solution for the case of constant rate freezing or melting across a flat interface at microgravity is also obtained. The results of the solution is used to demonstrate how the motion of the liquid ahead of the moving interface is affected by the change of specific volume upon phase change.
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References
T. Alty: Proc. Royal Soc. A 131, 554 (1931)
C.J. Call, M. Kennedy: AIAA paper 93, 09004 (1993)
B. Caroli, C. Calori, B. Roulet: J. Crystal Growth 66, 575 (1984)
W. Chang, F. Cosandey, H. Hhan: Nanostructured Materials 2, 2501 (1993)
A.A. Chernov: Modern Crystallography, III ( Springer-Verlag, New York 1984 )
S.R. Coriell, A.A. Chernov, B. Murray, G.B. McFadden: J. Crystal Growth 183, 669 (1998)
W. Edward, J. Clarence, N. West, D. Ernest: International Critical Tables of Numerical Data. Physics, Chemistry and Technology, ( McGraw-Hill, New York 1930 )
L. Haar, J.S. Gallagher, J.S. Kell: NBS/NRC Steam Tables: Thermodynamics and Transport Properties and Computer Programs for Vapor and Liquid States of Water in SI Units, (Hemisphere Publishing Co., Washington, D.C. 1984 )
S.W. Joo, S.H. Davis, S.G. Bankoff: J. Fluid Mech. 230, 117 (1991)
S.W. Joo, S.H. Davis: ‘Instabilities in Three-dimensional Heated Draining Film’. In: Proceedings of IUTAM Symposium,, Nonlinear Instability of Nonparallel Flows, ed. by S.P. Lin, W.R.C. Phillips, D.T. Valentine, ( Springer-Verlag, New York 1994 ) pp. 425–435
D.D. Joseph, Y.Y. Rendardy: Fundamentals of Two-Fluid Dynamics, Vol. 1 ( Springer-Verlag, New York 1992 )
D.A. Kessler, J. Koplik, H. Levine: Advances in Physics 37, 225 (1998)
A. Konstantinov, J. Panov, J. Malinowski: Photo Sci. 21, 20 (1973)
L.D. Landau, E.M. Lifshitz: Statistical Physics, ( Addision-Wesley, Reading, MA 1969 )
J.S. Langer: Review of Modern Physics 52, 1 (1980)
C.K. Law: Progress Energy Combustion Science 8, 171 (1982)
S.P. Lin: J. Fluid Engineering 15, 119 (1983)
S.P. Lin, C.Y. Wang: Modeling Wavy Film Flows, in Encyclopedia of Fluid Mechanics. Edited by N.P. Cheremisinoff, (Gulf Publishing 1986) 1, 931
S.P. Lin, Z.W. Lian: Physics of Fluids, A 1, 490 (1989)
S.P. Lin, Z.W. Lian: AIAA Journal 28, 120 (1990)
S.P. Lin, E.A. Ibrahim: J. Fluid Mech. 218, 614 (1990)
S.P. Lin, Z.W. Lian: Phys. of Fluids A 5, 771 (1992)
S.P. Lin, D. Webb: Phys. Of Fluids 6, 2671 (1994)
S.P. Lin, M. Hudman: Microgravity Science and Technology 8, 163 (1995)
S.P. Lin, M. Hudman: J. Thermal Physics and Heat Trans. 10, 497 (1996)
S.P. Lin, D.G. Xi: J. Jpn. Soc. Microgravity Appl. 15, 1994 (1998)
J.R. Maa: Indust. Engng. Chem. Fund. 6, 504 (1967)
W.W. Mullins, R.F. Sekerka: J. Appl. Phys. 35, 444 (1964)
P. Pelce: Dynamics of Curved Fronts, ( Academic Press, New York 1998 )
V. Pot, C. Appert, A. Melayah, D.H. Rothman, S. Zaleski: J. De Physique I I 10, 1517 (1996)
K. Raznjevic: Handbook of Thermodynamics Tables and Charts, (Hemisphere Publishing Col., Washington, D.C. 1976 )
T.P. Schulze, S.H. Davis: J. Crystal Growth 143, 317 (1994)
W.A. Sirignano: Dynamics of Sprays–1992 Freeman Scholar Lecture. J. Fluid Eng. 115, p. 345378 (1993)
C.M. Sonsino, G. Schliper: Powder Metallurgy International 24, 339 (1992)
Y. Sone, Y. Onishi: J. of Physical Soci. F Japan 44, 1981 (1978)
S. Sreenivassan, S.P. Lin: Int. J. Heat Mass Transfer 21, 1517 (1978)
H. Sugimoto, Y. Stone: Phys. Fluids A 4, 419 (1992)
H. Tomita: Physica A. 204, 693 (1994)
N.V. Tsederberg: Thermal Conductivity of Gases and Liquids, ( MIT Press, Cambridge Massachusetts 1965 )
Y. Viisanen, R. Strey: J. Chem. Phys. 101, 7835 (1994)
G. Wylle, H.H. Wills: Royal Soc. 197, 383 (1949)
Y.B. Zeldovich, G.I. Barenblatt, V.B. Librovich, G.M. Aakhviladze: Combustion and Explosions G.M., ( Consultant Bureau, New York 1985 )
Z.W. Zhou, S.P. Lin: Phys. of Fluids A 4, 277 (1992)
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Lin, S.P. (2003). Non-equilibrium Phase Change. In: Narayanan, R., Schwabe, D. (eds) Interfacial Fluid Dynamics and Transport Processes. Lecture Notes in Physics, vol 628. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45095-5_17
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DOI: https://doi.org/10.1007/978-3-540-45095-5_17
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