Linear stability analysis of convective chemical fronts in a vertical slab

Desiderio A. Vasquez, Casey Lengacher

Producción científica: Contribución a una revistaArtículorevisión exhaustiva

17 Citas (Scopus)


A chemical reaction front propagating in a viscous fluid separates two liquids of different densities leading to convection. Convection enhances the speed and changes the curvature of the front. We analyze the effects of convection as the front propagates in a two-dimensional vertical slab. In this geometry, the fluid motion can be described using Brinkman’s equations [Appl. Sci. Res., Sect. A 1, 27 (1947)]. This set of equations is coupled to a front evolution equation describing the motion of the convective chemical front. Convection will be present depending on the slab width and gap thickness. The steady state solutions can be axisymmetric or nonaxisymmetric fronts depending on the slab width. A linear stability analysis for the solutions shows a region of bistability for narrow gaps. The bistability disappears as the slab width is increased.

Idioma originalInglés
Páginas (desde-hasta)6865-6868
Número de páginas4
PublicaciónPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
EstadoPublicada - 1998
Publicado de forma externa


Profundice en los temas de investigación de 'Linear stability analysis of convective chemical fronts in a vertical slab'. En conjunto forman una huella única.

Citar esto