On the behavior of detonation and deflagration waves in fluids with internal state variables
Abstract
The paper considers the behavior of shock waves propagating in fluids with internal state variables having jump discontinuities. This means that abrupt changes in composition occur across the shock, and that the reaction zones are idealized as occurring at the shocks themselves. It is assumed that immediately behind the shocks the fluid mixtures are in states of strong equilibrium. The growth and decay properties of those shocks across which the internal state variables suffer jump discontinuities are analyzed. The governing differential equation for the amplitude of detonation and deflagration waves is derived, and conditions are obtained for the existence of strong or weak types of waves.
- Publication:
-
Archiv of Mechanics, Archiwum Mechaniki Stosowanej
- Pub Date:
- 1976
- Bibcode:
- 1976ArMeS..28..105B
- Keywords:
-
- Deflagration;
- Detonation Waves;
- Fluid Flow;
- Shock Wave Propagation;
- State Vectors;
- Chemical Reactions;
- Decay Rates;
- Differential Equations;
- Mathematical Models;
- Shock Discontinuity;
- Time Dependence;
- Fluid Mechanics and Heat Transfer