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

Zadražil, A, Kiss, I Z, D'Hernoncourt, J, Ševčíková, H, Merkin, J H and De Wit, A (2005) Effects of constant electric fields on the buoyant stability of reaction fronts. Physical Review E, 71 (2). ISSN 1539-3755

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Abstract

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 are modeled by cubic autocatalysis. A linear stability analysis reveals that a positive electric field increases the stability of a reaction front and can stabilize an otherwise unstable front. A negative field has the opposite effect, making the reaction front more unstable. Numerical simulations of the full nonlinear problem confirm these predictions and show the development of cellular fingers on unstable fronts. These simulations show that the electric field effects on the reaction within the front can alter the fluid density so as to give the possibility of destabilizing an otherwise stable downward propagating front.

Item Type: Article
Additional Information: Article Number: 026224
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Depositing User: Istvan Kiss
Date Deposited: 06 Feb 2012 20:21
Last Modified: 14 Mar 2017 00:07
URI: http://sro.sussex.ac.uk/id/eprint/25551

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