Plane and cylindrical hydromagnetic shock waves
type: Item
instance of: scholarly article
title: Plane and cylindrical hydromagnetic shock waves
zbMATH Open document ID: 0551.76093
DOI: 10.1007/BF00653914
author: N. E. Zubov
published in: Astrophysics and Space Science
publication date: 1984-01-01T00:00:00Z
review text: The Chisnell-Chester-Whitham method [\textit{R. F. Chisnell}, Proc. R. Soc. Lond., Ser. A 232, 350-370 (1955; Zbl 0068.192); \textit{W. Chester}, Philos. Mag., VII. Ser. 45, 1293-1301 (1954; Zbl 0057.186) and \textit{G. B. Whitham}, J. Fluid Mech. 4, 337-360 (1958; Zbl 0081.415))] has been used to investigate the propagation of diverging plane and cylindrical shock waves through an ideal gas in presence of a magnetic field having only constant axial \((H_ 0)\) and variable azimuthal \((H_{\theta_ 0}=r^{1/2}H_ 0)\) components, simultaneously for both weak and strong cases. Assuming an initial density distribution \(\rho_ 0=\rho 'r^ w\), where \(\rho\) ' is the density at the plane/axis of symmetry and w is a constant, the analytical expressions for shock velocity and shock strength have been obtained. The expressions for the pressure, the density, and the particle velocity immediately behind the shock have also been derived for both cases.
Mathematics Subject Classification ID: 76W05
Mathematics Subject Classification ID: 76L05
Mathematics Subject Classification ID: 76N15
zbMATH DE Number: 3878609
zbMATH Keywords: constant axial components
zbMATH Keywords: variable azimuthal components
zbMATH Keywords: Chisnell- Chester-Whitham method
zbMATH Keywords: ideal gas
MaRDI profile type: Publication
cites work: The normal motion of a shock wave through a non-uniform one-dimensional medium
cites work: Energy considerations of plane and cylindrical hydromagnetic variable energy blast waves
cites work: On the propagation of shock waves through regions of non-uniform area or flow
full work available at URL: https://doi.org/10.1007/bf00653914
OpenAlex ID: W1998694576
description: scientific article; zbMATH DE number 3878609