Skip to main content
Log in

Boundary Conditions in the Theory of Generalized Hydrodynamic Equations

  • Published:
High Temperature Aims and scope

Abstract

Kinetic boundary conditions (in particular, slip conditions) are used in the theory of rarefied gases; these boundary conditions are a corollary of the Boltzmann equation and make it possible to use the Navier-Stokes equations for describing flows of moderately rarefied gases. It is demonstrated that the slip conditions may be derived as a result of solution of generalized hydrodynamic equations (GHE). In other words, the GHE may be used for an adequate description of the kinetic wall layer.

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. Chapman, S. and Cowling, T.G., The Mathematical Theory ofNonuniform Gases, Cambridge: University Press, 1952. Translated under the title Matematicheskaya teoriya neodnorodnykh gazov, Moscow: Izd. Inostrannaya Literatura, 1960.

    Google Scholar 

  2. Hirschfelder, J.O., Curtiss, C.F., and Bird, R.B., Molecular Theory of Gases and Liquids, New York: Wiley, 1954. Translated under the title Molekulyarnaya teoriya gazov i zhidko-stei, Moscow: Izd. Inostrannaya Literatura, 1961.

    Google Scholar 

  3. Alexeev, B.V., Philos. Trans. R. Soc. London Ser.A, 1994, vol. 349, p. 417.

    Google Scholar 

  4. Alexeev, B.V., Physica A, 1995, vol. 216, p. 459.

    Google Scholar 

  5. Alekseev, B.V., Teplofiz. Vys. Temp., 1997, vol. 35, no. 1, p. 129 (High Temp. (Engl. transl.), vol. 35, no. 1, p. 125).

    Google Scholar 

  6. Alekseev, B.V., Usp. Fiz. Nauk, 2000, vol. 170, no. 6, p. 650.

    Google Scholar 

  7. Alekseev, B.V., Usp. Fiz. Nauk, 2003, vol. 173, no. 2.

  8. Alekseev, B.V., Teplofiz. Vys. Temp., 1998, vol. 36, no. 2, p. 215 (High Temp. (Engl. transl.), vol. 36, no. 2, p. 198).

    Google Scholar 

  9. Landau, L.D. and Lifshitz, E.M., Gidrodinamika(Hydrodynamics), Moscow: Nauka, 1988.

    Google Scholar 

  10. Glasstone, S., Laidler, K.J., and Eyring, H., Theory of Rate Processes, New York: McGraw-Hill, 1941. Translated under the title Teoriya absolyutnykh skorostei reaktsii, Moscow: Izd. Inostrannaya Literatura, 1948.

    Google Scholar 

  11. Cercignani, C., Theory and Application of the Boltzmann Equation, New York: American Elsevier, 1975. Translated under the title Teoriya i prilozheniya uravneniya Bol'tsmanna, Moscow: Mir, 1978.

    Google Scholar 

  12. Alekseev, B.V and Polev, V.V. Teplofiz. Vys. Temp., 1990, vol. 28, no. 6, p. 614.

    Google Scholar 

  13. Alekseev, B.V., Dokl. Akad. Nauk SSSR, 1990, vol. 113, no. 5, p. 1078.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Alekseev, B.V. Boundary Conditions in the Theory of Generalized Hydrodynamic Equations. High Temperature 42, 552–564 (2004). https://doi.org/10.1023/B:HITE.0000039983.58225.32

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:HITE.0000039983.58225.32

Navigation