Similarity analysis of strong converging spherical shock waves in radiating gas

摘要

In this paper the influence of radiation upon the classical adiabatic self-similar solution of a converging spherical shock wave is investigated. The medium is assumed to be an optically thick, inviscid and ideal gas with a constant ratio of specific heats. In front of the shock wave it is considered to be uniform and at rest, and its counter pressure is neglected. The presented paper restricts itself to presenting those similarity solutions which show the least possible deviation from the classical adiabatic solution. Their eigenvalues are determined numerically and listed. The flow profiles of nonadiabatic similarity solutions are shown and compared with the flow profiles of the adiabatic similarity solution. [References: 15]