Skip to main content
SpringerLink
Log in

Weak discontinuities in non-equilibrium flows

  • Published:
Astrophysics and Space Science Aims and scope Submit manuscript

Abstract

The present paper deals with the propagation of a weak discontinuity along bi-characteristics of a hyperbolic system governing 3-dimensional arbitrary motion of a relaxing fluid undergoing chemical transformations. The growth and decay properties of a weak discontinuity headed by wave fronts of arbitrary shape of general class of relaxing fluids have been analytically solved and interpreted. The two fundamental theorems on the global behaviour of the time-dependent wave amplitude of a weak discontinuity has been concluded.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Becker, E.: 1970,Aerospace J. 74, 36.

    Google Scholar 

  • Becker, E. and Schmitt, H.: 1968,Ing. Anal. 36, 335.

    Google Scholar 

  • Blythe, P. A.: 1969,J. Fluid Mech. 37, 31.

    Google Scholar 

  • Bowen, R. M. and Chen, P. J.: 1972,J. Math. Phys. 13, 958.

    Google Scholar 

  • Chu, B. T.: 1958,Proceedings of the Heat Transfer and Fluid Mechanics Institution, Stanford Univ. Press, pp. 80.

  • Chu, B. T.: 1970, in P. P. Wegener (ed.),Non-Equilibrium Flows, Part II, Marcel Dekker Inc., New York, pp. 43.

    Google Scholar 

  • Elerat, A. R.: 1977,Int. J. Eng. Sci. 15, 29.

    Google Scholar 

  • Prasad, P.: 1975,J. Math. Ann. Appl. 50, 470.

    Google Scholar 

  • Ram, R.: 1979,Acta Mech. 33, 171.

    Google Scholar 

  • Rarity, B. S. H.: 1967,J. Fluid Mech. 27, 49.

    Google Scholar 

  • Sussman, M. B. and Baroh, J. R.: 1967,Phys. Fluids 10, 28.

    Google Scholar 

  • Thomas, T. Y.: 1957,J. Math. Mech. 6(3), 311.

    Google Scholar 

  • Whitham, G. B.: 1956,J. Appl. Math. Mech. 1, 290.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi, India

    Arisudan Rai

Authors
  1. Arisudan Rai
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rai, A. Weak discontinuities in non-equilibrium flows. Astrophys Space Sci 134, 335–345 (1987). https://doi.org/10.1007/BF01094940

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01094940

Keywords

Search

Navigation