All Physics Faculty Publications

Document Type

Article

Journal/Book Title/Conference

Journal of Chemical Physics

Volume

118

Issue

13

Publisher

American Institute of Physics

Publication Date

12-2002

First Page

5911

Last Page

5915

DOI

10.1063/1.1553752

Abstract

An eikonal equation including fluid advection is derived from the cubic reaction-diffusion-advection equation, and is used to investigate the speeds and shapes of chemical reaction fronts subject to Poiseuille flow between parallel plates. Although the eikonal equation is usually regarded as valid when the front thickness is small compared to the radius of curvature of the front and to the size of the system, it is also found to be valid when the reaction front is thick with respect to the gap width. This new regime of applicability of the eikonal equation is consistent with its derivation, which requires only that the reaction front curvature and the fluid velocity vary negligibly across the front. The front distortion and the front speed increase with increasing η, defined as the ratio of the gap half-width to the reaction front thickness. Analytical limits of the front distortion and front velocity for small and large η are compared with general numerical results.

Comments

http://link.aip.org/link/doi/10.1063/1.1553752

Published by the American Institute of Physics in Journal of Chemical Physics. Publisher PDF is available for download through the link above.