Couple-Stress in Peristaltic Transport of a Magneto-Fluid

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Published under licence by IOP Publishing Ltd
, , Citation El-Sayed F El-Shehawey and Wahed El-Sebaei 2001 Phys. Scr. 64 401 DOI 10.1238/Physica.Regular.064a00401

1402-4896/64/5/401

Abstract

Peristaltic pumping by a sinusoidal travelling wave in the wall of a two-dimensional channel filled with a viscous incompressible couple-stress of a magneto-fluid is investigated theoretically and graphically. A perturbation solution is obtained which satisfies the momentum equation for the case in which the amplitude ratio is small. The results show that the mean axial velocity decreases with increasing couple-stress parameter η and magnetic parameter M. The phenomenon of reflux is discussed. Numerical results are reported for various values of the physical parameters.

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10.1238/Physica.Regular.064a00401