On reactive shock in magnetogasdynamic flow
type: Item
instance of: scholarly article
title: On reactive shock in magnetogasdynamic flow
zbMATH Open document ID: 0796.76047
author: Rama Shankar
author: Dheeraj Bhardwaj
published in: Journal of Mathematical Analysis and Applications
publication date: 1994-05-09T00:00:00Z
review text: The behaviour of a detonation wave in a polytropic gas under the influence of an azimuthal magnetic field is investigated. It is assumed that the gas is shocked by an infinite piston moving at a constant velocity. Further, the shock is assumed to be sufficient to start the detonation and the detonation itself takes place rapidly throughout a thin and finite width region. The flow is divided into three domains -- the unburnt gas ahead of the detonation, the burning zone in the boundary layer, and the burnt gas zone which extends from the back of the boundary layer to the piston. First, the characteristics of the system and generalised Riemann invariants are obtained, then the solutions in the reaction zone and outside the zone are found. Finally, the solution is obtained by matched asymptotic expansion.
Mathematics Subject Classification ID: 76L05
Mathematics Subject Classification ID: 76W05
Mathematics Subject Classification ID: 76V05
zbMATH DE Number: 566456
zbMATH Keywords: Alfven speed
zbMATH Keywords: detonation wave
zbMATH Keywords: polytropic gas
zbMATH Keywords: azimuthal magnetic field
zbMATH Keywords: infinite piston
zbMATH Keywords: generalised Riemann invariants
zbMATH Keywords: matched asymptotic expansion
MaRDI profile type: Publication
full work available at URL: jmaa.1993.1355
OpenAlex ID: W2029809921
DOI: 10.1006/JMAA.1993.1355
description: scientific article; zbMATH DE number 566456