NON-UNIFORM MAGNETOHYDRODYNAMIC SHOCK PROPAGATION, WITH SPECIAL REFERENCE TO CYLINDRICAL AND SPHERICAL SHOCK WAVES
Abstract
Previous work on non-uniform shock propagation in monatomic conducting gases is generalized to an arbitrary value of the adiabatic index. Specifically, the perturbation generated when an initially uniform hydromagnetic shock of arbitrary strength impinges on an area variation is determined, the problem being linearized on the basis of small area variations. When the shock encounters the area change, the shock strength is altered, and the subsequent flow is non-isentropic. There are two distinct contributions to the perturbation, namely, a permanent perturbation due to the area change and a transient reflected disturbance, and expressions for these are obtained. A first order relation between area change and shock strength is obtained and integrated numerically to give an area-shock strength relationship valid for channels with finite continuous area variation. Particular area distributions are utilized to discuss converging cylindrical and spherical hydromagnetic shocks. The present theory includes results on non-uniform gas dynamic shock propagation as a special case.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1962
- Accession Number
- AD0275706
Entities
People
- Roy M. Gundersen
Organizations
- University of Wisconsin–Madison