Skip to main content
Log in

Relaxation of Rayleigh and Lorentz Gases in Shock Waves

  • Heat and Mass Transfer and Physical Gasdynamics
  • Published:
High Temperature Aims and scope

Abstract

Two-dimensional Fokker–Planck type kinetic equations were derived, and some calculation results are presented to illustrate the principal distinction of the process of translational relaxation in a flow behind the front of a shock wave from the one-dimensional description that is valid for a stationary gas. In contrast to a Lorentz gas (a small admixture of light particles in a thermostat of heavy particles), the process of translational relaxation in a Rayleigh gas (a small admixture of heavy particles in a thermostat of low-weight gas particles) has an obvious two-dimensional character.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Dodulad, O.I., Kloss, Yu.Yu., and Cheremisin, F.G., Fiz.-Khim. Kin. Gas. Din., 2014, no. 1. http://chemphys.edu.ru/pdf/2013-07-08-001.pdf

    Google Scholar 

  2. Landau, L.D., Sobranie trudov (Collection of Papers), Lifshits, E.M., Ed., Moscow: Nauka, 1969, vol. 1.

    Google Scholar 

  3. Andersen, K. and Shuler, K.E., J. Chem. Phys., 1964, vol. 40, no. 3, p. 633.

    Article  ADS  MathSciNet  Google Scholar 

  4. Safaryan, M.N. and Stupochenko, E.V., Prikl. Mekh. Tekh. Fiz., 1964, no. 4, p. 29.

    Google Scholar 

  5. Safaryan, M.N., J. Appl. Mech. Tech. Phys., 1977, vol. 18, no. 5, p. 602.

    Article  ADS  Google Scholar 

  6. Ferrari, L., Chem. Phys., 1996, vol. 206, p. 9.

    Article  ADS  Google Scholar 

  7. Balescu, R., Equilibrium and Nonequilibrium Statistical Mechanics, New York: Wiley, 1975.

    MATH  Google Scholar 

  8. Chapman, S. and Cowling, T.G., The Mathematical Theory of Non-Uniform Gases: An Account of the Kinetic Theory of Viscosity, Thermal Conduction, and Diffusion in Gases, Cambridge: Cambridge Univ. Press, 1952.

    MATH  Google Scholar 

  9. Tikhonov, A.N. and Samarskii, A.A., Uravneniya matematicheskoi fiziki (Equations of Mathematical Physics), Moscow: Nauka, 1977.

    Google Scholar 

  10. Loitsyanskii, L.G., Mekhanika zhidkosti i gaza (Mechanics of Liquid and Gas), Moscow: Nauka, 1973.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to O. V. Skrebkov.

Additional information

Original Russian Text © O.V. Skrebkov, 2018, published in Teplofizika Vysokikh Temperatur, 2018, Vol. 56, No. 1, pp. 79–85.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Skrebkov, O.V. Relaxation of Rayleigh and Lorentz Gases in Shock Waves. High Temp 56, 77–83 (2018). https://doi.org/10.1134/S0018151X18010169

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0018151X18010169

Navigation