The approximate kinetic analysis of strong condensation

详细信息    查看全文

• 作者：Yu.B. Zudin
• 关键词：kinetic analysis ; strong condensation ; Knudsen layer ; condensation flux ; mixing surface ; analytical solution
• 刊名：Thermophysics and Aeromechanics
• 出版年：2015
• 出版时间：January 2015
• 年：2015
• 卷：22
• 期：1
• 页码：73-84
• 全文大小：344 KB
• 参考文献：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鈥?66.
  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鈥?6.View Article
  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鈥?5.MATH
  4. M.N. Kogan, Rarefied Gas Dynamics, Springer Verlag Gmbh, 1995.
  5. D.A. Labuntsov, An analysis of strong evaporation and condensation, High Temperature, 1967, Vol. 5, No. 4, P. 579鈥?47.
  6. T.M. Muratova and D.A. Labuntsov, Kinetic analysis of vaporization and condensation processes, High Temperature, 1969, Vol. 7, No. 5, P. 959鈥?67.
  7. C. Cercignani, Mathematical Methods in Kinetic Theory, Springer US, 2014.
  8. Y.P. Pao, Temperature and density jumps in the kinetic theory of gases and vapors, Phys. Fluids, 1971, Vol. 14, P. 1340鈥?346.View Article ADS MathSciNet
  9. Y.P. Pao, Erratum: temperature and density jumps in the kinetic theory of gases and vapors, Phys. Fluids, 1973, Vol. 16, P. 1560.View Article ADS
  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鈥?32.View Article ADS MathSciNet
  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鈥?68.View Article ADS MathSciNet
  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鈥?45.View Article ADS
  13. S.I. Anisimov, Vaporization of metal absorbing laser radiation, Sov. Phys. JETP, 1968, Vol. 27, No. 1, P. 182鈥?83.ADS
  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鈥?002.View Article
  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鈥?212.
  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鈥?878.View Article ADS MATH
  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鈥?255.View Article ADS MathSciNet
  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鈥?27101-12.View Article ADS MathSciNet
  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鈥?156.View Article ADS
  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鈥?45.View Article
  21. I.A. Kuznetsova, A.A. Yushkanov, and Yu.I. Yalamov, Strong condensation of molecular gas, Fluid Dynamics, 1997, No. 6, P. 168鈥?74.
  22. M.C. Vinerean, A. Windf盲ll, and A.V. Bobylev, Construction of normal discrete velocity models of the Boltzmann equation, Nuovo Cimento C, 2010, Vol. 33, No. 1, P. 257鈥?64.
  
• 作者单位：Yu.B. Zudin (1)
  
  1. National Research Centre 鈥淜urchatov Institute鈥? Moscow, Russia
  
• 刊物主题：Thermodynamics;
• 出版者：Springer US
• ISSN：1531-8699

文摘

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.