Analytical solution of cylindrical shock waves in magnetogasdynamics. I
type: Item
instance of: scholarly article
title: Analytical solution of cylindrical shock waves in magnetogasdynamics. I
zbMATH Open document ID: 0663.76133
DOI: 10.1007/BF00646464
author: S. H. Smith
published in: Astrophysics and Space Science
publication date: 1988-01-01T00:00:00Z
review text: The C.C.W. method has been used to investigate the propagation of converging and diverging cylindrical shock waves in a non-uniform medium under the influence of a magnetic field of constant strength. A comparison has also been made between the two types of cylindrical shock waves, simultaneously for both weak and strong cases of the magnetic field. Density distribution is assumed to be \(\rho_ 0=\rho 'r^{- \omega}\), where \(\rho\) ' is the density at the axis of symmetry and \(\omega\) a constant. The analytical expressions for shock velocity and shock strength as well as the pressure, the density, and the particle velocity just behind the shock front have been derived for both the cases.
Mathematics Subject Classification ID: 76W05
Mathematics Subject Classification ID: 76N15
Mathematics Subject Classification ID: 76L05
zbMATH DE Number: 4085334
zbMATH Keywords: C.C.W. method
zbMATH Keywords: cylindrical shock waves
zbMATH Keywords: non-uniform medium
zbMATH Keywords: magnetic field
zbMATH Keywords: constant
zbMATH Keywords: shock velocity
zbMATH Keywords: shock strength
MaRDI profile type: Publication
cites work: The normal motion of a shock wave through a non-uniform one-dimensional medium
cites work: On the propagation of shock waves through regions of non-uniform area or flow
description: scientific article; zbMATH DE number 4085334