An analytical approach to convective reaction fronts

Article type: Research Article

Authors: Vakulenko, S.A.^;

Affiliations: Institute for Mechanical Engineering Problems, Academy of Sciences, Bolshoy pr. V.O. 61, Saint Petersburg 199178, Russia | Laboratoire de Mathématiques Appliquées, Université Lyon I, 69622 Villeurbanne, France E‐mail: [email protected]

Abstract: The paper is devoted to localized reaction fronts in a viscous fluid. A rigorous analytical theory describing small front deformations is suggested, and the dependence of the front orientation on the gravity force is studied. Estimates for perturbation of the front velocity are given. The critical Rayleigh number when the convective instability appears is found.

Journal: Asymptotic Analysis, vol. 36, no. 3-4, pp. 203-239, 2003