Finite thermal diffusivity at onset of convection in autocatalytic systems: Discontinuous fluid density
Author(s) -
Desiderio A. Vasquez,
Boyd F. Edwards,
Joseph W. Wilder
Publication year - 1995
Publication title -
physics of fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.188
H-Index - 180
eISSN - 1089-7666
pISSN - 1070-6631
DOI - 10.1063/1.868697
Subject(s) - physics , convection , thermal diffusivity , mechanics , thermal , wavelength , convective heat transfer , convection cell , thermodynamics , cylinder , combined forced and natural convection , natural convection , optics , geometry , mathematics
A linear convective stability analysis for propagating autocatalytic reaction fronts includes density differences due to both thermal and chemical gradients. Critical parameters for the onset of convection are calculated for an unbounded geometry, a vertical slab, and a vertical cylinder. Thermal effects are important at unstable wavelengths well above the critical wavelength for the onset of convection.
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