“School of Mathematics”

Back to Papers Home
Back to Papers of School of Mathematics

Paper   IPM / M / 507
School of Mathematics
  Title:   Detonative travelling waves for combustions
1.  M. Hesaaraki
2.  A. Razani
  Status:   Published
  Journal: Appl. Anal.
  No.:  3-4
  Vol.:  77
  Year:  2001
  Pages:   405-418
  Supported by:  IPM
The existence of travelling wave solution 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. Travelling waves for detonations reduce to specific heteroclinic orbits of a discontinuous system of ODE's. The existence proof for heteroclinic orbits corresponding to weak and strong detonation waves is carried out by some general topological arguments in ODE. The nonuniqueness of these waves are also considered.

Download TeX format
back to top
scroll left or right