Derivation of a nonlinear front evolution equation for chemical waves involving convection

Joseph W. Wilder; Boyd F. Edwards; Desiderio A. Vasquez; Gregory I. Sivashinsky

doi:10.1016/0167-2789(94)90158-9

Derivation of a nonlinear front evolution equation for chemical waves involving convection

Joseph W. Wilder
, Boyd F. Edwards
, Desiderio A. Vasquez
, Gregory I. Sivashinsky

West Virginia University
Tel Aviv University
City University of New York

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

21 Scopus citations

Abstract

The nonlinear stability of exothermic autocatalytic reaction fronts is considered using the viscous thermohydrodynamic fluid equations in the limits of infinite and zero thermal diffusivity. A nonlinear front evolution equation is derived using asymptotic analysis and is solved for an ascending front. The method used is similar to that which has been used in the derivation of a front equation for flame propagation.

Original language	English
Pages (from-to)	217-226
Number of pages	10
Journal	Physica D: Nonlinear Phenomena
Volume	73
Issue number	3
DOIs	https://doi.org/10.1016/0167-2789(94)90158-9
State	Published - 1 Jun 1994
Externally published	Yes

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10.1016/0167-2789(94)90158-9

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title = "Derivation of a nonlinear front evolution equation for chemical waves involving convection",

abstract = "The nonlinear stability of exothermic autocatalytic reaction fronts is considered using the viscous thermohydrodynamic fluid equations in the limits of infinite and zero thermal diffusivity. A nonlinear front evolution equation is derived using asymptotic analysis and is solved for an ascending front. The method used is similar to that which has been used in the derivation of a front equation for flame propagation.",

author = "Wilder, \{Joseph W.\} and Edwards, \{Boyd F.\} and Vasquez, \{Desiderio A.\} and Sivashinsky, \{Gregory I.\}",

year = "1994",

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doi = "10.1016/0167-2789(94)90158-9",

language = "English",

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journal = "Physica D: Nonlinear Phenomena",

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T1 - Derivation of a nonlinear front evolution equation for chemical waves involving convection

AU - Wilder, Joseph W.

AU - Edwards, Boyd F.

AU - Vasquez, Desiderio A.

AU - Sivashinsky, Gregory I.

PY - 1994/6/1

Y1 - 1994/6/1

N2 - The nonlinear stability of exothermic autocatalytic reaction fronts is considered using the viscous thermohydrodynamic fluid equations in the limits of infinite and zero thermal diffusivity. A nonlinear front evolution equation is derived using asymptotic analysis and is solved for an ascending front. The method used is similar to that which has been used in the derivation of a front equation for flame propagation.

AB - The nonlinear stability of exothermic autocatalytic reaction fronts is considered using the viscous thermohydrodynamic fluid equations in the limits of infinite and zero thermal diffusivity. A nonlinear front evolution equation is derived using asymptotic analysis and is solved for an ascending front. The method used is similar to that which has been used in the derivation of a front equation for flame propagation.

UR - https://www.scopus.com/pages/publications/0005233572

U2 - 10.1016/0167-2789(94)90158-9

DO - 10.1016/0167-2789(94)90158-9

M3 - Article

AN - SCOPUS:0005233572

SN - 0167-2789

VL - 73

SP - 217

EP - 226

JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

IS - 3

ER -

Derivation of a nonlinear front evolution equation for chemical waves involving convection

Abstract

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