A theory for spontaneous Mach stem formation in reacting shock fronts. I - The basic perturbation analysis
Abstract
A theory to explain the experimentally observed spontaneous formation of Mach stems in reacting shock fronts is developed. A linearized mechanism of instability through radiating boundary waves is analyzed. Then through weakly nonlinear asymptotics, an integro-differential scalar conservation law is derived. The asymptotic expansion relates the breakdown of solutions for this scalar equation with the spontaneous formation of the complete triple-shock, slip-line Mach stem configuration.
- Publication:
-
SIAM Journal of Applied Mathematics
- Pub Date:
- December 1983
- Bibcode:
- 1983SJAM...43.1310M
- Keywords:
-
- Detonable Gas Mixtures;
- Flame Propagation;
- Flame Stability;
- Shock Fronts;
- Shock Wave Interaction;
- Wave Generation;
- Asymptotic Methods;
- Boundary Layer Combustion;
- Burger Equation;
- Convective Flow;
- Sound Waves;
- Transverse Waves;
- Fluid Mechanics and Heat Transfer