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Peristaltic flow of a micropolar fluid through a porous medium in the presence of an external magnetic field
Institution:1. Department of Mathematics, Acharya Nagarjuna University Campus, Ongole 523 001, Andhra Pradesh, India;2. Faculty of Military Science, Stellenbosch University, Private Bag X2, Saldanha, 7395, South Africa;1. Department of Mechanical Engineering, University of Mazandaran, Babolsar, Islamic Republic of Iran;2. Department of Mechanical Engineering, Babol University of Technology, P.O. Box 484, Babol, Islamic Republic of Iran;3. Esfarayen University, Engineering and Technical College, Department of Mechanical Engineering, Esfarayen, North Khorasan, Islamic Republic of Iran
Abstract:This paper presents an analytical study of the MHD flow of a micropolar fluid through a porous medium induced by sinusoidal peristaltic waves traveling down the channel walls. Low Reynolds number and long wavelength approximations are applied to solve the non-linear problem in the closed form and expressions for axial velocity, pressure rise per wavelength, mechanical efficiency and stream function are obtained. The impacts of pertinent parameters on the aforementioned quantities are examined by plotting graphs on the basis of computational results. It is found that the pumping improves with Hartman number but degrades with permeability of the porous medium.
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