Poiseuille advection of chemical reaction fronts.

Poiseuille Advection of Chemical Reaction Fronts: Eikonal Approximation

Propagation velocities of chemical reaction fronts advected by Poiseuille flow.

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 ...

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...

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...

Adaptive Moving Mesh Modeling for Two Dimensional Groundwater Flow and Transport

An adaptive moving mesh method is presented for numerical simulation of two dimensional groundwater flow and transport problems. A selection of problems are considered, including advection dominated chemical transport and reaction, solute transport from contamination sources, transport of nonaqueous phase liquids (NAPLs) in an aquifer, and coupling of groundwater flow with NAPL transport. Numer...