Interaction between buoyancy and diffusion-driven instabilities of propagating autocatalytic reaction fronts. I. Linear stability analysis

2009 ◽  
Vol 130 (11) ◽  
pp. 114502 ◽  
Author(s):  
J. D’Hernoncourt ◽  
J. H. Merkin ◽  
A. De Wit
Keyword(s):  
Stability Analysis ◽  
Linear Stability ◽  
Linear Stability Analysis ◽  
Autocatalytic Reaction ◽  
Reaction Fronts ◽  
And Diffusion

scholarly journals Linear stability analysis of reaction fronts in liquids

1996 ◽  
Vol 54 (2) ◽  
pp. 225-247 ◽  
Author(s):  
M. Garbey ◽  
A. Taik ◽  
V. Volpert
Keyword(s):  
Stability Analysis ◽  
Linear Stability ◽  
Linear Stability Analysis ◽  
Reaction Fronts

Convective instability of reaction fronts: Linear stability analysis

1998 ◽  
Vol 9 (5) ◽  
pp. 507-525 ◽  
Author(s):  
V. A. VOLPERT ◽  
A. I. VOLPERT
Keyword(s):  
Stability Analysis ◽  
Linear Stability ◽  
Linear Stability Analysis ◽  
Convective Instability ◽  
Eigenvalue Problems ◽  
Transport Coefficients ◽  
Stability Boundary ◽  
New Approaches ◽  
Reaction Fronts ◽  
The Stability

The paper is devoted to convective instability of reaction fronts. New approaches are developed to study some eigenvalue problems arising in chemical hydrodynamics. For gaseous combustion in the case of equality of transport coefficients, a linear stability analysis of an upward propagating front is carried out. A minimax representation of the stability boundary is obtained.

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