Effects of Homogeneous and Heterogeneous Reactions on the Dispersion of a Solute in MHD Newtonian Fluid in an Asymmetric Channel with Peristalsis
Ayman Mahmoud Sobh *
Mathematics Department, Faculty of Applied Science, Al Aqsa University, Palestine.
*Author to whom correspondence should be addressed.
Abstract
The dispersion of a solute in peristaltic motion of a magneto-Newtonian fluid flow through a porous medium in an asymmetric channel is studied in the presence of both homogeneous and heterogeneous chemical reaction as well. The fluid is electrically conducting by a transverse magnetic field. The channel asymmetry is produced by choosing the peristaltic wave train on the walls to have different amplitudes and phase. Applying long wavelength approximation and using Taylor's limiting condition, the effective dispersion coefficient has been found in explicit form for the two cases (homogeneous and heterogeneous chemical reactions). Moreover, the effects of various emerging parameters on the average coefficient of dispersion are discussed with the help of graphs. The results reveal that the peristaltic wave enhances dispersion of a solute but the phase difference between the two waves reduces it.
Keywords: Asymmetric channel, dispersion, chemical reaction, peristalsis