Interaction of pulsating and spinning waves in condensed phase combustion
The authors employ a nonlinear stability analysis in the neighborhood of a multiple bifurcation point to describe the interaction of pulsating and spinning modes of condensed phase combustion. Such phenomena occur in the synthesis of refractory materials. In particular, they consider the propagation of combustion waves in a long thermally insulated cylindrical sample and show that steady, planar combustion is stable for a modified activation energy/melting parameter less than a critical value. Above this critical value primary bifurcation states, corresponding to time-periodic pulsating and spinning modes of combustion, emanate from the steadily propagating solution. By varying the sample radius, the authors split a multiple bifurcation point to obtain bifurcation diagrams which exhibit secondary, tertiary, and quarternary branching to various types of quasi-periodic combustion waves.
- Research Organization:
- Dept. of Engineering Sciences and Applied Mathematics, Northwestern Univ., Evanston, IL 60201
- OSTI ID:
- 7073196
- Journal Information:
- SIAM J. Appl. Math.; (United States), Journal Name: SIAM J. Appl. Math.; (United States) Vol. 46:5; ISSN SMJMA
- Country of Publication:
- United States
- Language:
- English
Similar Records
New modes of quasi-periodic combustion near a degenerate hopf bifurcation point
Propagation of a pulsating reaction front in solid fuel combustion
Related Subjects
400800* -- Combustion
Pyrolysis
& High-Temperature Chemistry
ACTIVATION ENERGY
CHEMICAL PREPARATION
CHEMICAL REACTION KINETICS
COMBUSTION KINETICS
COMBUSTION WAVES
DIAGRAMS
ENERGY
KINETICS
MELTING
NONLINEAR PROBLEMS
PHASE TRANSFORMATIONS
PULSATIONS
REACTION KINETICS
REFRACTORIES
STABILITY
SYNTHESIS
THERMAL INSULATION
TIME DEPENDENCE
WAVE PROPAGATION