Linear stability analysis of reaction fronts in liquids

M. Garbey; A. Taik; V. Volpert

doi:10.1090/qam/1388014

Linear stability analysis of reaction fronts in liquids

M. Garbey, A. Taik, V. Volpert

Research output: Contribution to journal › Article › peer-review

40 Scopus citations

Abstract

The propagation of a reaction front for liquid-to-solid reaction is studied. The model includes the heat equation, an equation for the concentration of the liquid reactant, and the equations of liquid motion under the Boussinesq approximation. The linear stability of the reaction front is studied, and conditions for cellular and oscillatory instability are determined.

Original language	English (US)
Pages (from-to)	225-247
Number of pages	23
Journal	Quarterly of Applied Mathematics
Volume	54
Issue number	2
DOIs	https://doi.org/10.1090/qam/1388014
State	Published - Jun 1996

ASJC Scopus subject areas

Applied Mathematics

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title = "Linear stability analysis of reaction fronts in liquids",

abstract = "The propagation of a reaction front for liquid-to-solid reaction is studied. The model includes the heat equation, an equation for the concentration of the liquid reactant, and the equations of liquid motion under the Boussinesq approximation. The linear stability of the reaction front is studied, and conditions for cellular and oscillatory instability are determined.",

author = "M. Garbey and A. Taik and V. Volpert",

year = "1996",

month = jun,

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AU - Garbey, M.

AU - Taik, A.

AU - Volpert, V.

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N2 - The propagation of a reaction front for liquid-to-solid reaction is studied. The model includes the heat equation, an equation for the concentration of the liquid reactant, and the equations of liquid motion under the Boussinesq approximation. The linear stability of the reaction front is studied, and conditions for cellular and oscillatory instability are determined.

AB - The propagation of a reaction front for liquid-to-solid reaction is studied. The model includes the heat equation, an equation for the concentration of the liquid reactant, and the equations of liquid motion under the Boussinesq approximation. The linear stability of the reaction front is studied, and conditions for cellular and oscillatory instability are determined.

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Linear stability analysis of reaction fronts in liquids

Abstract

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