Entropy jump across an inviscid shock wave
Abstract
The shock jump conditions for the Euler equations in their primitive form are derived by using generalized functions. The shock profiles for specific volume, speed, and pressure are shown to be the same, however density has a different shock profile. Careful study of the equations that govern the entropy shows that the inviscid entropy profile has a local maximum within the shock layer. We demonstrate that because of this phenomenon, the entropy, propagation equation cannot be used as a conservation law.
- Publication:
-
Final Report Institute for Computer Applications in Science and Engineering
- Pub Date:
- February 1995
- Bibcode:
- 1995icas.reptQ....S
- Keywords:
-
- Entropy;
- Euler Equations Of Motion;
- Gas Flow;
- Inviscid Flow;
- Shock Layers;
- Shock Wave Propagation;
- Shock Waves;
- Conservation Laws;
- Differential Equations;
- Mathematical Models;
- Fluid Mechanics and Heat Transfer