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The approximate kinetic analysis of strong condensation

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Thermophysics and Aeromechanics Aims and scope

Abstract

The approximate kinetic analysis was carried out for the problem of strong condensation based on conservation equations for molecular fluxes of mass, momentum, and energy within the Knudsen layer. The closing relation was the condition for conservation of condensation flux between the Knudsen layer boundary and the mixing layer. Approximate analytical solution of the problem was obtained in the form of pressure ratio vs. temperature ratio (Mach number as a parameter). The analytical solution demonstrates a good agreement with available simulation data.

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References

  1. V.I. Mazhukin, A.V. Mazhukin, M.M. Demin, and A.V. Shapranov, The dynamics of the surface treatment of metals by ultra-short high-power laser pulses, in: T.S. Sudarshan, M. Jeandin, and V. Firdirici (Eds.), Surface Modification Technologies XXVI (SMT 26), 2013, Vol. 26, P. 557–566.

    Google Scholar 

  2. S.I. Lezhnin and D.I. Kachulin, The influence of different factors on the shape of the pressure pulse at the liquidvapor contact, J. Engng Termophysics, 2013, Vol. 22, No. 1, P. 69–76.

    Article  Google Scholar 

  3. V.V. Zakharov, J.F. Crifo, G.A. Lukyanov, and A.V. Rodionov, On modeling of complex nonequilibrium gas flows in broad range of Knudsen numbers on example of inner cometary atmosphere, Mathematical Models and Computer Simulations, 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. D.A. Labuntsov, An analysis of strong evaporation and condensation, High Temperature, 1967, Vol. 5, No. 4, P. 579–647.

    Google Scholar 

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

    Google Scholar 

  7. C. Cercignani, Mathematical Methods in Kinetic Theory, Springer US, 2014.

    Google Scholar 

  8. Y.P. Pao, Temperature and density jumps in the kinetic theory of gases and vapors, Phys. Fluids, 1971, Vol. 14, P. 1340–1346.

    Article  ADS  MathSciNet  Google Scholar 

  9. Y.P. Pao, Erratum: temperature and density jumps in the kinetic theory of gases and vapors, Phys. Fluids, 1973, Vol. 16, P. 1560.

    Article  ADS  Google Scholar 

  10. V.V. Aristov and M.V. Panyashkin, Study of spatial relaxation by means of solving a kinetic equation, Computational Mathematics and Mathematical Physics, 2011, Vol. 51, No. 1, P. 122–132.

    Article  ADS  MathSciNet  Google Scholar 

  11. F.G. Tcheremissine, Method for solving the Boltzmann kinetic equation for polyatomic gases, Computational Mathematics and Mathematical Physics. 2012, Vol. 52, No. 2, P. 252–268.

    Article  ADS  MathSciNet  Google Scholar 

  12. V.V. Zhakhovsky and S.I. Anisimov, Molecular-dynamics simulation of evaporation of a liquid, J. Experimental and Theoretical Physics, 1997, Vol. 84, No. 4, P. 734–745.

    Article  ADS  Google Scholar 

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

    ADS  Google Scholar 

  14. D.A. Labuntsov and A.P. Kryukov, Analysis of strong evaporation and condensation, Inter. J. Heat and Mass Transfer. 1979. Vol. 2, No. 7. P. 989–1002.

    Article  Google Scholar 

  15. T. Ytrehus, Theory and experiments on gas kinetics in evaporation, in: J.L. Potter (Ed.), Rarefied Gas Dynamics, N.Y., 1977, Vol. 51, part 2. P. 1197–1212.

    Google Scholar 

  16. K. Aoki, Y. Sone, and T. Yamada, Numerical analysis of gas flows condensing on its plane condensed phase on the basis of kinetic theory, Phys. Fluids A, 1990, Vol. 2, P. 1867–1878.

    Article  ADS  MATH  Google Scholar 

  17. 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  Google Scholar 

  18. A. Frezzotti and T. Ytrehus, Kinetic theory study of steady condensation of a polyatomic gas, Phys. Fluids, 2006, Vol. 18, No. 2, P. 027101–027101-12.

    Article  ADS  MathSciNet  Google Scholar 

  19. 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. 1147–1156.

    Article  ADS  Google Scholar 

  20. I.A. Kuznetsova, A.A. Yushkanov, and Yu.I. Yalamov, Supersonic condensation of molecular gas, High Temperature, 2000, Vol. 38, No. 4, P. 639–645.

    Article  Google Scholar 

  21. I.A. Kuznetsova, A.A. Yushkanov, and Yu.I. Yalamov, Strong condensation of molecular gas, Fluid Dynamics, 1997, No. 6, P. 168–174.

    Google Scholar 

  22. M.C. Vinerean, A. Windfäll, and A.V. Bobylev, Construction of normal discrete velocity models of the Boltzmann equation, Nuovo Cimento C, 2010, Vol. 33, No. 1, P. 257–264.

    Google Scholar 

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Authors and Affiliations

  1. National Research Centre “Kurchatov Institute”, Moscow, Russia

    Yu.B. Zudin

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  1. Yu.B. Zudin
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Correspondence to Yu.B. Zudin.

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Zudin, Y. The approximate kinetic analysis of strong condensation. Thermophys. Aeromech. 22, 73–84 (2015). https://doi.org/10.1134/S0869864314010072

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  • DOI: https://doi.org/10.1134/S0869864314010072

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