A variational principle for steady homenergic compressible flow with finite shocks
Abstract
A variational principle for steady homenergic flows is obtained by using Hamilton's principle for a general time-dependent motion of a perfect compressible fluid under, effectively, no applied forces. The variational principle is applied to plane flows with a shock line, and the Hugoniot shock relations and one other condition are found.
- Publication:
-
Wave Motion
- Pub Date:
- January 1980
- DOI:
- Bibcode:
- 1980WaMot...2...83M
- Keywords:
-
- Compressible Flow;
- Shock Waves;
- Steady Flow;
- Variational Principles;
- Adiabatic Flow;
- Enthalpy;
- Entropy;
- Euler Equations Of Motion;
- Hugoniot Equation Of State;
- Ideal Gas;
- Three Dimensional Flow;
- Transonic Flow;
- Two Dimensional Flow;
- Fluid Mechanics and Heat Transfer