Peristaltic flow of couple stress fluid through uniform porous medium

doi:10.1007/s10483-014-1805-8

Applied Mathematics and Mechanics (English Edition) ›› 2014, Vol. 35 ›› Issue (4): 469-480.doi: https://doi.org/10.1007/s10483-014-1805-8

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Peristaltic flow of couple stress fluid through uniform porous medium

A. ALSAEDI¹, N.ALI², D.TRIPATHI³, T. HAYAT⁴

1. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, P. O. Box 80257, Jeddah 21589, Saudi Arabia;
2. Department of Mathematics & Statistics International Islamic University, Islamabad 44000, Pakistan;
3. Department of Applied Mathematics, IT-BHU, Varanasi 221005, India;
4. Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan

Received:2013-02-13 Revised:2013-08-15 Online:2014-04-09 Published:2014-04-01
Contact: T. HAYAT, Professor, Ph.D. E-mail:pensy t@yahoo.com

Abstract

Abstract:

Investigation concerning peristaltic motion of couple stress fluid is made. An incompressible couple stress fluid occupies the porous medium. Mathematical analysis is presented through large wavelength and low Reynolds number. Exact analytical expressions of axial velocity, volume flow rate, pressure gradient, and stream function are calculated as a function of couple stress parameter. The essential feature of the analysis is a full description of influence of couple stress parameter and permeability parameter on the pressure, frictional force, mechanical efficiency, and trapping.

Key words: porous medium, mechanical efficiency, couple stress fluid, trapping, peristalsis

2010 MSC Number:

74F05
80A20

A. ALSAEDI;N.ALI;D.TRIPATHI;T. HAYAT. Peristaltic flow of couple stress fluid through uniform porous medium. Applied Mathematics and Mechanics (English Edition), 2014, 35(4): 469-480.

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Peristaltic flow of couple stress fluid through uniform porous medium

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