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Research Article Open access CC BY 3.0

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

Journal of Advances in Mathematics and Computer Science · pp. 664–679 · Published 18 Jul 2013

10.9734/BJMCS/2013/4195

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.

Asymmetric channel dispersion chemical reaction peristalsis

Cited by 12

Slip Impact on Diffusion of a Solute in Creeping Sinusoidal Motion of a Newtonian Fluid with Wall Features

M. Dhange, G. Sankad · International Journal of Analysis and Applications · 2019

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