Comment: "Instability of isolated planar shock waves" [Phys. Fluids 19, 094102 (2007)

Anatoli Tumin

doi:10.1063/1.2838589

Comment: "Instability of isolated planar shock waves" [Phys. Fluids 19, 094102 (2007)

Anatoli Tumin

Research output: Contribution to journal › Comment/debate › peer-review

3 Scopus citations

Abstract

It is shown that Erpenbeck's solution of the initial-value problem for small perturbations in the presence of shocks [J. J. Erpenbeck, Phys. Fluids 5, 604 (1962); 5, 1181 (1962)] leads to a straightforward and simple method for analysis of rippled shocks as well. Particularly, the result for the ripple amplitude of a shock is the same as the result of Bates derived from an integral equation for the shock displacement function [J. W. Bates, Phys. Rev. E 69, 056313 (2004); Phys Fluids 19, 094102 (2007)].

Original language	English (US)
Article number	029101
Journal	Physics of Fluids
Volume	20
Issue number	2
DOIs	https://doi.org/10.1063/1.2838589
State	Published - Feb 2008

ASJC Scopus subject areas

Computational Mechanics
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Fluid Flow and Transfer Processes

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AB - It is shown that Erpenbeck's solution of the initial-value problem for small perturbations in the presence of shocks [J. J. Erpenbeck, Phys. Fluids 5, 604 (1962); 5, 1181 (1962)] leads to a straightforward and simple method for analysis of rippled shocks as well. Particularly, the result for the ripple amplitude of a shock is the same as the result of Bates derived from an integral equation for the shock displacement function [J. W. Bates, Phys. Rev. E 69, 056313 (2004); Phys Fluids 19, 094102 (2007)].

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Comment: "Instability of isolated planar shock waves" [Phys. Fluids 19, 094102 (2007)

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