Propagation velocities of chemical reaction fronts advected by Poiseuille flow.

Poiseuille advection of chemical reaction fronts.

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 epsilon. In the singular wide-gap limit, the correction equals the midgap fluid velocity 3epsilon/2 when the flow is in the direction of propaga...

Stability of fronts in the Kuramoto-Sivashinsky equation advected by a Poiseuille flow.

We study reaction fronts described by the Kuramoto-Sivashinsky equation subject to a Poiseuille flow. The fronts propagate with or against the flow located inside a two-dimensional slab. Steady front profiles can be flat, axisymmetric, or nonaxisymmetric, depending on the gap between the plates and the average flow speed. We first obtain the steady front solutions, later executing a linear stab...

Experimental studies of front propagation and mode-locking in an advection-reaction-diffusion system

– Experiments are presented on reaction processes in a cellular, time-periodic fluid flow composed of a chain of oscillating vortices. Previous studies have shown that mixing of passive impurities in this flow is chaotic. Chemical fronts are studied in this flow using the excitable regime of the ruthenium-catalyzed Belousov-Zhabotinsky reaction. The velocities of the fronts are measured as a fu...

Inherent Irreversibility of Exothermic Chemical Reactive Third-Grade Poiseuille Flow of a Variable Viscosity with Convective Cooling

In this study, the analysis of inherent irreversibility of chemical reactive third-grade poiseuille flow of a variable viscosity with convective cooling is investigated. The dissipative heat in a reactive exothermic chemical moves over liquid in an irreversible way and the entropy is produced unceasingly in the system within the fixed walls. The heat convective exchange with the surrounding tem...

Poiseuille Advection of Chemical Reaction Fronts: Eikonal Approximation