Oblique magnetohydrodynamic shock wave decay
type: Item
instance of: scholarly article
title: Oblique magnetohydrodynamic shock wave decay
zbMATH Open document ID: 0727.76072
DOI: 10.1007/BF00945832
author: Roy M. Gundersen
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 1990-01-01T00:00:00Z
review text: This paper is devoted to a study of the decay of an oblique magnetohydrodynamic shock wave produced when an originally uniform shock wave, which propagates into quiescent fluid, intersects a centered rarefaction wave. The solution generalizes the solution for a normal magnetohydrodynamic shock wave [(*) the author, ibid. 40, No.4, 501-509 (1989; Zbl 0688.76048)] in a form which includes that solution as well as the solution for conventional nonconducting flow as special limiting cases. It is assumed that the magnetic field and particle velocity vectors have two nonzero components; the addition of third components to these vectors would add virtually no new information, since they necessarily must be proportional to the second components. The physical problem and the method of analysis are essentially the same as used in the previous paper (*). A particular solution of the nonisentropic equations of motion is obtained through the use of a modified hodograph transformation and used to obtain an approximate representation of the shock path, valid for relatively weak shocks, in the region of interaction. Since an oblique magnetic field is utilized, both slow and fast shocks are possible, and the analysis is valid for both types of shocks. Shock wave decay has, of course, been investigated extensively using various approximate analytical techniques. Since a history of the problem was given in the previous paper (*), it is not necessary to repeat it here.
Mathematics Subject Classification ID: 76L05
Mathematics Subject Classification ID: 76X05
zbMATH DE Number: 4201914
zbMATH Keywords: decay of an oblique magnetohydrodynamic shock wave
zbMATH Keywords: uniform shock wave
zbMATH Keywords: quiescent fluid
zbMATH Keywords: centered rarefaction wave
zbMATH Keywords: nonconducting flow
zbMATH Keywords: nonisentropic equations of motion
zbMATH Keywords: modified hodograph transformation
zbMATH Keywords: weak shocks
MaRDI profile type: Publication
cites work: Magnetohydrodynamic shock wave decay
cites work: Q5681230
cites work: Linearized Analysis of One-Dimensional Magnetohydrodynamic Flows
full work available at URL: https://doi.org/10.1007/bf00945832
OpenAlex ID: W2058415782
description: scientific article; zbMATH DE number 4201914