Interaction of Couple Stresses and Slip Flow on Peristaltic Transport in Uniform and Nonuniform Channels

Authors : Ayman Mahmoud SOBH

Pages : 117-123

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :The effect of slip velocity on peristaltic flow of a couple stress fluid in uniform and nonuniform symmetric channels is studied. This problem has numerous applications. It serves as a model for the blood flow in living creatures. Using long wavelength approximation and neglecting inertial forces, a closed form solution for the axial velocity and the pressure gradient was obtained. Numerical computations were carried out to investigate the effect of couple stress parameter a and Knudsen number Kn on pressure rise, maximum pressure rise, and friction force for uniform and nonuniform channels. It is noted that the pressure rise decreases with increasing a and increasing Kn. The friction force has an opposite behavior compared with pressure rise.
Keywords : Peristalsis, Couple stresses, Slip flow