Physical Sciences and Mathematics Commons^™

Finite Thermal Diffusivity At Onset Of Convection In Autocatalytic Systems: Discontinuous Fluid Density, D. A. Vasquez, Boyd F. Edwards, J. W. Wilder

All Physics Faculty Publications

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.