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Non-linear peristaltic transport in an inclined asymmetric channel
Institution:1. Department of Mathematics, University College of Engineering Arni, (A Constituent College of Anna University Chennai), Arni 632326, Tamil Nadu, India;2. Department of Mathematics, Arulmigu Meenakshi Amman College of Engineering, Vadamavandal 604410, Tamil Nadu, India;1. Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan;2. Nonlinear Analysis and Applied Mathematics (NAAM) Research group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia;3. Department of Mathematics, CIIT, Islamabad, Pakistan;1. Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt;2. Mathematics Department, Faculty of Science, Imam Abdulrahman Bin Faisal University, Al-Dammam, Saudi Arabia;3. Mathematics Department, Faculty of Science, El Azhar University, Cairo, Egypt
Abstract:The problem of peristaltic transport of a hydromagnetic (electrically conducting) viscous incompressible fluid in an inclined planar channel having electrically insulated walls has been investigated under long-wavelength and low-Reynolds number assumptions. The channel asymmetry is produced by choosing the peristaltic wave train on the walls to have different amplitudes and phase. The flow is investigated in a wave frame of reference moving with the velocity of the wave. Expressions for velocity field, shear stress and pressure gradient on the wall are obtained. The effects of different parameters entering into the problem are discussed numerically and explained graphically.
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