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  1. On the existence of Chapman-Jouguet detonation waves
On the existence of Chapman-Jouguet detonation waves
573 viewed

On the existence of Chapman-Jouguet detonation waves

Hesaaraki, M

On the existence of Chapman-Jouguet detonation waves

Hesaaraki, M ; Sharif University of Technology | 2001

573 Viewed
  1. Type of Document: Article
  2. DOI: 10.1017/s0004972700019560
  3. Publisher: Australian Mathematical Publishing Association , 2001
  4. Abstract:
  5. The existence of travelling wave solutions to equations of a viscous, heat-conducting combustible fluid is proved. The reactions are assumed to be one step exothermic reactions with a natural discontinuous reaction rate function. The problem is studied for a general gas. Instead of assuming the ideal gas conditions we consider a general thermodynamics which is described by a fairly mild set of hypotheses. The existence proof of travelling waves for Chapman-Jouguet detonation reduces to finding specific heteroclinic orbits of a discontinuous system of ordinary differential equations; these heteroclinic orbits connect a rest point corresponding to unburnt state to that of the burnt state. The existence proof for heteroclinic orbits corresponding to Chapman-Jouguet detonation waves is carried out by some general topological arguments in ordinary differential equations theory
  6. Keywords:
  8. Source: Bulletin of the Australian Mathematical Society ; Volume 63, Issue 3 , 2001 , Pages 485-496 ; 00049727 (ISSN)
  9. URL: https://www.cambridge.org/core/journals/bulletin-of-the-australian-mathematical-society/article/on-the-existence-of-chapmanjouguet-detonation-waves/5CEBCA80833581B762CAD62F84EEB248