Skip to main content
Log in

Stability of flows with discontinuity surfaces

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

A study is made in the linear formulation of flows with homogeneous distribution of the parameters in expanding regions separated by boundaries that are either discontinuity surfaces of an arbitrary nature or surfaces with effective boundary conditions. Examples of such flows are the decay of an arbitrary discontinuity [1] and flow in a tube with a region of heat release [2].

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

Literature cited

  1. G. Ya. Galin and A. G. Kulikovskii, “Stability of flows resulting from the decay of an arbitrary discontinuity,” Prikl. Mat. Mekh.,39, 95 (1975).

    Google Scholar 

  2. B. V. Raushenbakh, Vibrational Combustion [in Russian], Fizmatgiz, Moscow (1961), p. 500.

    Google Scholar 

  3. S. V. Iordanskii, “Instability of a plane steady shock wave,” Prikl. Mat. Mekh.,21, 465 (1957).

    Google Scholar 

  4. É. V. Lenskii, Investigation of Unsteady Propagation and Interaction of Linear and Nonlinear Perturbations in Compressible Media. Self-Similar Problems of Nonlinear Elasticity (In-t Mekh. MGU. Otchet No. 2313), Izd. Mosk. Un., Moscow (1980), p. 40.

    Google Scholar 

  5. V. T. Grin', A. N. Kraiko, and N. I. Tillyaeva, “Stability of the flow of ideal gas in a channel with an embedded shock wave in the presence of simultaneous reflection of acoustic and entropy waves by the exit section,” Prikl. Mat. Mekh.,40, 469 (1976).

    Google Scholar 

  6. B. M. Levitan, Almost Periodic Functions [in Russian], Gostekhizdat, Moscow (1953), pp. 104–109.

    Google Scholar 

  7. A. A. Barmin and A. G. Kulikovskii, “Changes in the gas velocity in ionizing shock waves. Conducting piston problem,” Prikl. Mat. Mekh.,32, 495 (1968).

    Google Scholar 

  8. A. G. Kulikovskii and G. A. Lyubimov, Magnetohydrodynamics [in Russian], Fizmatgiz, Moscow (1962), pp. 82–105.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 10–18, September–October, 1982.

We thank A. G. Kulikovskii for helpful discussions.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Barmin, A.A., Gusarova, O.L. Stability of flows with discontinuity surfaces. Fluid Dyn 17, 662–669 (1982). https://doi.org/10.1007/BF01090142

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01090142

Keywords

Navigation