All Physics Faculty Publications

Document Type

Article

Journal/Book Title/Conference

Chaos

Volume

16

Issue

4

Publisher

American Institute of Physics

Publication Date

10-2006

First Page

043106-1

Last Page

043106-8

DOI

10.1063/1.2358954

Abstract

Poiseuille flow between parallel plates advects chemical reaction fronts, distorting them and altering their propagation velocities. Analytical solutions of the cubic reaction-diffusion-advection equation resolve the chemical concentration for narrow gaps, wide gaps, and small-amplitude flow. Numerical solutions supply a general description for fluid flow in the direction of propagation of the chemical reaction front, and for flow in the opposite direction. Empirical relations for the velocity agree with numerical solutions to within a few percent, and agree exactly with the analytical limits. Applications to nonlinear fingering are discussed.

Comments

http://link.aip.org/link/doi/10.1063/1.2358954

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

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