Title
Linear stability analysis of convective chemical fronts in a vertical slab
Date Issued
01 January 1998
Access level
metadata only access
Resource Type
journal article
Author(s)
Lengacher C.
University Fort Wayne
Publisher(s)
American Physical Society
Abstract
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. © 1998 The American Physical Society.
Start page
6865
End page
6868
Volume
58
Issue
5
Language
English
OCDE Knowledge area
Física de plasmas y fluídos
Scopus EID
2-s2.0-0001246368
Source
Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
ISSN of the container
1063651X
Sources of information:
Directorio de Producción Científica
Scopus