A one-dimensional piston problem of gasdynamics-Reference-Cited by-同舟云学术

A one-dimensional piston problem of gasdynamics

Published:1978-03-07 Issue:1 Volume:85 Page:1-6
ISSN:0022-1120
Container-title:Journal of Fluid Mechanics
language:en
Short-container-title:J. Fluid Mech.

Author:

Mclaughlin R.

Abstract

This paper considers the case of a one-dimensional piston moving outwards with a speed proportional to rα and driving a strong shock into a non-uniform ambient gas whose density is initially proportional to r−k, k > 0. This problem is connected with that studied by Grundy & McLaughlin (1977), who effectively discussed the case α = 0. We discover further important uses of the Sedov similarity solutions and find kc, the upper limit to k for the shock path to be asymptotically similar to the piston path.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference8 articles.

1. Mclaughlin, R. 1975 Ph.D. thesis, University of St Andrews.

2. Courant, R. & Friedrichs, K. O. 1948 Supersonic Flow and Shock Waves .Interscience.

3. Grundy, R. E. & McLAUGHLIN, R. 1977 The unsteady expansion of a gas into a non-uniform near vacuum.J. Fluid Mech. 81,775–792.

4. Freeman, N. C. 1965 In Research Frontiers in Fluid Dynamics (ed. R. J. Seeger & G. Temple ),pp.284–307.Interscience.

5. Ellinwood, J. W. 1967 Asymptotic hypersonic-flow theory for blunted slender cones and wedges.J. Math. Phys. 46,281.

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