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Semi-empirical model for intense evaporation

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Thermophysics and Aeromechanics Aims and scope

Abstract

A semi-empirical model based on the linear kinetic theory was developed for intense evaporation. The extrapolated drops for pressure and temperature at the condensed phase surface were calculated through summing of linear and squared terms. The analytical dependencies were obtained for gas parameters in gas-dynamic zone as functions of Mach number, condensation coefficient, and the number of degrees of freedom for molecules of ideal gas. The calculations from semi-empirical model are in agreement with results from known analytical and numerical studies.

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References

  1. A.V. Gusarov and I. Smurov, Target-vapour interaction and atomic collisions in pulsed laser ablation, J. Physics D: Applied Physics, 2001. Vol. 34, No. 8, P. 1147–115.

    Article  ADS  Google Scholar 

  2. I.N. Larina, V.A. Rykov, and E.M. Shakhov, Evaporation from a surface and vapor flow through a plane channel into a vacuum, Fluid Dynamics, 1996. Vol. 31, No. 1, P. 127–133.

    Article  ADS  MATH  Google Scholar 

  3. V. V. Zakharov, J. F. Crifo, G. A. Luk'yanov, and A. V. Rodionov, On modeling of complex nonequilibrium gas flows in a broad range of Knudsen numbers on example of inner cometary atmosphere, Matem. Model., 2002. Vol. 14, No. 8, P. 91–95.

    MATH  Google Scholar 

  4. M.N. Kogan, Rarefied Gas Dynamics, Springer Verlag Gmbh, 1995.

    Google Scholar 

  5. A.V. Bobylev, Accurrate and Approximate Methods in the Theory of the Boltzmann and Landau Nonlinear Kinetic Equations, Keldysh’s IPM, Moscow, 1987.

    Google Scholar 

  6. D.A. Labuntsov, An analysis of the processes of evaporation and condensation, High Temperature, 1967. Vol. 5, No. 4, P. 579–647.

    Google Scholar 

  7. T.M. Muratova and D.A. Labuntsov, Kinetic analysis of the processes of evaporation and condensation, High Temperature, 1969. Vol. 7, No. 5, P. 959–967.

    Google Scholar 

  8. A.V. Gusarov and I. Smurov, Gas-dynamic boundary conditions of evaporation and condensation: numerical analysis of the Knudsen layer, Phys. Fluids, 2002. Vol. 14, P. 4242–4255.

    Article  ADS  MathSciNet  MATH  Google Scholar 

  9. A.V. Latyshev and A.A. Yushkanov, Analytical Methods for Kinetic Theory, MRSU Publ., Moscow, 2008.

    Google Scholar 

  10. A.A. Frezzotti A numerical investigation of the steady evaporation of a polyatomic gas, Europ. J. Mech. B: Fluids. 2007. Vol. 26, P. 93–104.

    Article  MathSciNet  MATH  Google Scholar 

  11. S.I. Anisimov, Vaporization of metal absorbing laser radiation, Sov. Phys. JETP, 1968. Vol. 27, No. 1, P. 182–183.

    ADS  Google Scholar 

  12. D.A. Labuntsov and A.P. Kryukov, Intense evaporation processes, Thermal Engineering, 1977. No. 4, P. 8–11.

    Google Scholar 

  13. D.A. Labuntsov and A.P. Kryukov, Analysis of intensive evaporation and condensation, Int. J. Heat Mass Transfer, 1979. Vol. 2, P. 989–1002.

    Article  MATH  Google Scholar 

  14. Yu.B. Zudin, The approximate kinetic analysis of intense evaporation, J. Engng Phys. and Thermophysics, 2015. Vol. 88, No. 4, P. 1015–1022.

    Article  ADS  Google Scholar 

  15. Yu.B. Zudin, The approximate kinetic analysis of strong condensation, Thermophysics and Aeromechanics, 2015. Vol. 22, No. 1, P. 73–84.

    Article  ADS  Google Scholar 

  16. Yu.B. Zudin, Linear kinetic analysis of evaporation and condensation, Thermophysics and Aeromechanics, 2016. Vol. 23, No. 3, P. 421–433.

    Article  ADS  Google Scholar 

  17. J.W. Rose, Accurate approximate equations for intensive subsonic evaporation, Int. J. Heat Mass Transfer, 2000. Vol. 43, P. 3869–3875.

    Article  MATH  Google Scholar 

  18. P.D. Crout, An application of kinetic theory to the problems of evaporation and sublimation of monatomic gases, J. Math. Phys., 1936. Vol. 15, P. 1–54.

    Article  MATH  Google Scholar 

  19. Ya.B. Zel’dovich and Yu.P. Raizer, Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena, Courier Corporation, 2012.

    Google Scholar 

  20. A.P. Kryukov, V.Y. Levashov, and N.V. Pavlyukevich, Condensation coefficient: definitions, estimations, modern experimental and calculation data, J. Engng Phys. and Thermophysics, 2014. Vol. 87, No. 1, P. 237–245.

    Article  ADS  Google Scholar 

  21. C. Cercignani, Strong evaporation of a polyatomic gas, Rarefied Gas Dynamics, Proc. 12th Int. Symp., S.S. Fisher (Ed.), Vol. 74 of Progress in Astronautics and Aeronautics. Part 1. New York, 1981. P. 305–320.

    Google Scholar 

  22. P.A. Skovorodko, Semi-empirical boundary conditions for strong evaporation of a polyatomic gas, Rarefied Gas Dynamics, in: Proc. 22th Int. Symp., T. Bartel, M.A. Gallis (Eds.), Vol. 585 of AIP Conf. Proc. Melville, New York, 2001. P. 588–590.

    Google Scholar 

  23. Y. Sone and H. Sugimoto, Kinetic theory analysis of steady evaporating flows from a spherical condensed phase into a vacuum, Phys. Fluids, 1993. Vol. A 5, P. 1491–1511.

    Article  ADS  MATH  Google Scholar 

  24. V.I. Mazhukin, P.A. Prudkovskii, and A.A. Samokhin, On gas-dynamic boundary conditions at the evaporation front, Matem. Model., 1993. Vol. 5, No. 6, P. 3–10.

    MATH  Google Scholar 

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Zudin, Y.B. Semi-empirical model for intense evaporation. Thermophys. Aeromech. 24, 523–536 (2017). https://doi.org/10.1134/S0869864317040035

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  • DOI: https://doi.org/10.1134/S0869864317040035

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