Evolution of weak discontinuities in the unsteady flow of thermally conducting dissociating gases
Abstract
The time evolution of the velocitygradient discontinuity (lambda) in the unsteady flow of a thermally conducting gas is investigated analytically. The analysis of Verma and Kumar (1981) is shown to be incorrect, both in its inital framework and in its solutions. The correct basic equations of continuity, momentum, and energy are set forth, and a singular moving surface is introduced. The growth equation for lambda is derived and solved, and the extreme cases of damping out (lambda approaches zero) and shockwave formation (lambda approaches infinity) are considered. It is pointed out that this analysis is valid for dissociating, chemically reacting, vibrationally relaxiing, or ionizing gases.
 Publication:

AIAA Journal
 Pub Date:
 October 1983
 DOI:
 10.2514/3.8275
 Bibcode:
 1983AIAAJ..21.1479M
 Keywords:

 Computational Fluid Dynamics;
 Gas Dissociation;
 Shock Discontinuity;
 Thermal Conductivity;
 Unsteady Flow;
 Continuity Equation;
 Fluid Mechanics and Heat Transfer