Growth and decay of sonic discontinuities in non-equilibrium gasdynamics
Abstract
Using the singular surface theory, the phenomenon associated with sonic discontinuities in nonequilibrium gasdynamics is studied. The sonic wave in nonequilibrium gaseous medium propagates with the frozen speed of sound and its successive positions constitute a family of parallel surfaces as in conventional gasdynamics. The fundamental differential equations for growth and decay of sonic discontinuities have been formulated for general class of relaxing gas applying compatibility conditions for surfaces of discontinuity in continuum mechanics. This class of equations has been solved completely and particular cases of plane and spherical waves have been discussed. In the plane wave case, it has been shown that the nonequilibrium character of the gas is to decrease the critical time. Other cases of shock formation have also been studied in detail.
- Publication:
-
Journal of Mathematical and Physical Sciences
- Pub Date:
- June 1977
- Bibcode:
- 1977JMPS...11..237S
- Keywords:
-
- Acoustic Propagation;
- Gas Dynamics;
- Nonequilibrium Flow;
- Plane Waves;
- Spherical Waves;
- Continuum Mechanics;
- Differential Equations;
- Discontinuity;
- Flow Stability;
- Propagation Velocity;
- Surface Stability;
- Fluid Mechanics and Heat Transfer