Dispersion of a solute in peristaltic motion of a couple stress fluid through a porous medium

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Published: Dec 31, 2012
DOI: https://doi.org/10.5556/j.tkjm.43.2012.811
Keywords:
Dispersion Peristalsis Couple stress fluid Porous medium Chemical reaction

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G. Radhakrishnamacharya
National Institute of Technology, Warangal
Habtu Alemayehu
National Institute of Technology, Warangal

Abstract

The paper presents an analytical solution for dispersion of a solute in the peristaltic motion of a couple stress fluid through a porous medium in the presence of both homogeneous and heterogeneous chemical reactions. The average effective dispersion coefficient has been found using Taylor's limiting condition and long wavelength approximation. The effects of various relevant parameters on the average coefficient of dispersion have been studied. The average effective dispersion coefficient increases with permeability parameter but decreases with homogeneous chemical reaction rate parameter, couple stress parameter and heterogeneous reaction rate parameter.

Article Details

How to Cite
Radhakrishnamacharya, G., & Alemayehu, H. (2012). Dispersion of a solute in peristaltic motion of a couple stress fluid through a porous medium. Tamkang Journal of Mathematics, 43(4), 541–555. https://doi.org/10.5556/j.tkjm.43.2012.811
Issue
Vol. 43 No. 4 (2012)
Section
Papers
Author Biographies

G. Radhakrishnamacharya, National Institute of Technology, Warangal

Department ofMathematics, National Institute of Technology,Warangal-506 004, A.P., India.

Habtu Alemayehu, National Institute of Technology, Warangal

Research Scholar,Department ofMathematics, National Institute of Technology,Warangal-506 004, A.P., India.

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