Poiseuille Advection of Chemical Reaction Fronts

Authors

Boyd F. Edwards, Utah State UniversityFollow

Document Type

Article

Journal/Book Title/Conference

Physical Review Letters

Volume

89

Issue

10

Publisher

American Physical Society

Publication Date

8-2002

First Page

104501-1

Last Page

104501-4

Abstract

Poiseuille flow between parallel plates alters the shapes and velocities of chemical reaction fronts. In the narrow-gap limit, the cubic reaction-diffusion-advection equation predicts a front-velocity correction equal to the gap-averaged fluid velocity ϵ. In the singular wide-gap limit, the correction equals the midgap fluid velocity 3ϵ/2 when the flow is in the direction of propagation of the reaction front, and equals zero for adverse flow of any amplitude for which the front has a midgap cusp. Stationary fronts are possible only for adverse flow and finite gaps. Experiments are suggested.

Comments

http://link.aps.org/doi/10.1103/PhysRevLett.89.104501

Published by the American Physical Society in Physical Review Letters. Publisher PDF is available for download through the link above.

Recommended Citation

“Poiseuille advection of chemical reaction fronts,” B. F. Edwards, Phys. Rev. Lett. 89, 104501 (2002) [23].