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Propagation Velocities Of Chemical Reaction Fronts Advected By Poiseuille Flow, Boyd F. Edwards
Propagation Velocities Of Chemical Reaction Fronts Advected By Poiseuille Flow, Boyd F. Edwards
All Physics Faculty Publications
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.
Poiseuille Advection Of Chemical Reaction Fronts: Eikonal Approximation, R. S. Spangler, Boyd F. Edwards, J. Chem
Poiseuille Advection Of Chemical Reaction Fronts: Eikonal Approximation, R. S. Spangler, Boyd F. Edwards, J. Chem
All Physics Faculty Publications
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 …