Lateral instabilities of cubic autocatalytic reaction fronts in a constant electric field

Interaction between buoyancy and diffusion-driven instabilities of propagating autocatalytic reaction fronts. II. Nonlinear simulations.

The nonlinear dynamics resulting from the interplay between diffusive and buoyancy-driven Rayleigh-Taylor (RT) instabilities of autocatalytic traveling fronts are analyzed numerically for fronts ascending or descending in the gravity field and for various values of the relevant parameters, the Rayleigh numbers R(a) and R(b) of the reactant A and autocatalytic product B, respectively, and the ra...

Convective Instability of Autocatalytic Reaction Fronts in Vertical Cylinders

Dispersion curves in the diffusional instability of autocatalytic reaction fronts.

A (linear) stability analysis of planar reaction fronts to transverse perturbations is considered for systems based on cubic autocatalysis and a model for the chlorite-tetrathionate reaction. Dispersion curves (plots of the growth rate sigma against a transverse wave-number k) are obtained. In both cases it is seen that there is a nonzero value D0 of D (the ratio of the diffusion coefficients o...

Quadratic and Cubic Reaction–Diffusion Fronts*

Robert Luther’s student, Herr cand. Meinecke, moved a wire loop along the test tube to mark the position of the propagating front, with the image projected onto a screen so the entire audience could see. It was May 21, 1906, at the Main Meeting of the Deutsche Bunsengesellschaft für Angewandte Physikalische Chemie held in Dresden, Germany. Luther, who was Director of the Physical Chemistry Labo...

Effects of constant electric fields on the buoyant stability of reaction fronts.

The effects that applying constant electric fields have on the buoyant instability of reaction fronts propagating vertically in a Hele-Shaw cell are investigated for a range of electric field strengths and fluid parameters. The reaction produces a decrease in density across the front such that upwards propagating fronts are buoyantly unstable in the field-free situation. The reaction kinetics a...