Abstract
Unsteady-state processes of heat and mass transfer in a vapor film formed during the interaction of a highly heated body with a cold liquid are investigated using a numerical solution of the kinetic Boltzmann equation. Two options of formulation of the problem are treated, which are more complex compared to those treated in the previous study, namely, (a) the liquid surface moves at a constant velocity, and the liquid temperature is constant; and (b) the liquid surface is stationary, and the liquid is heated (heat is transferred by heat conduction alone). It is demonstrated that, in analyzing various applications (for example, problems on the evolution of vapor cavities under conditions of film boiling), the state of vapor in the film may be taken to be quasi-steady-state; it may be described by steady-state kinetic relations for which the effect of mass flux may be ignored.
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References
Muratova, T.M. and Labuntsov, D.A., Teplofiz. Vys. Temp., 1969, vol. 7, no. 5, p. 959.
Gorbunov, A.A., Dergunov, I.M., and Kryukov, A.P., The Evolution of Vapor Film in the Interaction of Hot Spherical Objects with Water, in Trudy Tret’ei Rossiiskoi natsional’noi konferentsii po teploobmenu. T. 4 (Proceedings of the Third Russian National Conference on Heat Transfer), Moscow: Izd. MEI (Moscow Inst. of Power Engineering), 2002, vol. 4, p. 253.
Dergunov, I.M., Korolev, V.P., Kryukov, A.P., and Selyaninova, Yu.Yu., Fiz. Nizk. Temp., 2003, vol. 29, no. 6, p. 653.
Kryukov, A.P. and Yastrebov, A.K., Teplofiz. Vys. Temp., 2003, vol. 41, no. 5, p. 771 (High Temp. (Engl. transl.), vol. 41, no. 5, p. 680).
Yastrebov, A.K., Simultaneous Numerical Solution of Navier-Stokes and Boltzmann Equations for the Problem on Heat and Mass Transfer in Vapor Film, in Trudy XV shkoly-seminara molodykh uchenykh i spetsialistov pod rukovodstvom Akad. A.I. Leontiev “Problemy gazodinamiki i teplomassoobmena v energeticheskikh ustanovkakh. T. 1 (Proceedings of the XV Seminar-School for young scientists and specialists on Problems in Gas Dynamics and Heat and Mass Transfer in Power Plants under supervision of Acad. A.I. Leontiev), Moscow: Izd. MEI (Moscow Inst. of Power Engineering), 2005, vol. 1, p. 293.
Kogan, M.N., Dinamika razrezhennogo gaza (Dynamics of Rarefied Gas), Moscow: Nauka, 1967.
Aristov, V.V. and Cheremisin, F.G., Pryamoe chislennoe reshenie kineticheskogo uravneniya Bol’tsmana (Direct Numerical Solution of Boltzmann Kinetic Equation), Moscow: VTs RAN (Computer Center, Russian Acad. Sci.), 1992.
Cheremisin, F.G., Discrete Approximation and Examples of Solution of Boltzmann Equation, in Vychislitel’naya dinamika razrezhennogo gaza (Computational Dynamics of Rarefied Gas), Moscow: VTs RAN (Computer Center, Russian Acad. Sci.), 2000, p. 37.
Dar’in, N.A. and Mazhukin, V.I., Dokl. Akad. Nauk SSSR, 1988, vol. 298, no. 1, p. 64.
Carslaw, H.S. and Jaeger, J.C., Conduction of Heat in Solids, Oxford: Clarendon Press, 1959. Translated under the title Teploprovodnost’ tverdykh tel, Moscow: Nauka, 1964.11. Spravochnik po fiziko-tekhnicheskim osnovam kriogeniki (A Reference Book on Physicotechnical Principles of Cryogenics), Malkov, M.P., Ed., Moscow: Energoatomizdat, 1985.
Spravochnik po fiziko-tekhnicheskim osnovam kriogenik (A Reference Book on Physicotechnical Principles of Cryogenics), Malkov, M.P., Ed., Moscow: Energoatomizdat, 1985.
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Translated from Teplofizika Vysokikh Temperatur, Vol. 44, No. 4, 2006, pp. 560–567.
Original Russian Text Copyright © 2006 by A. P. Kryukov and A. K. Yastrebov.
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Kryukov, A.P., Yastrebov, A.K. Heat and mass transfer through a vapor film in view of the motion of liquid-vapor interface and the rise of temperature at the interface. High Temp 44, 556–564 (2006). https://doi.org/10.1007/s10740-006-0069-0
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DOI: https://doi.org/10.1007/s10740-006-0069-0