PhysRevE.71.026224.pdf (300.86 kB)
Effects of constant electric fields on the buoyant stability of reaction fronts
journal contribution
posted on 2023-06-08, 06:01 authored by A Zadražil, Istvan Kiss, J D'Hernoncourt, H Ševcíková, J H Merkin, A De WitThe 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.
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Publication status
- Published
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- Published version
Journal
Physical Review EISSN
1539-3755Publisher
American Physical SocietyExternal DOI
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2Volume
71Department affiliated with
- Mathematics Publications
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Article Number: 026224Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2012-02-06First Open Access (FOA) Date
2016-03-22First Compliant Deposit (FCD) Date
2016-11-10Usage metrics
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