Affiliations: Mathematical Department, Faculty of Science, Al-Azhar University, Nasr City, Cairo, Egypt | Mathematical Department, Faculty of Science, King AbdulAziz University, Jeddah, Saudi Arabia | Basic Science Department, Higher Institute of Engineering, Shorouk City, Cairo, Egypt
Note: [] Corresponding author: Kh.S. Mekheimer, Mathematical Department, Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo, Egypt. E-mail: [email protected]
Abstract: Peristaltic transport of an incompressible viscous fluid due to an asymmetric waves propagating on the horizontal sidewalls of a rectangular duct is studied under long-wavelength and low-Reynolds number assumptions. The peristaltic wave train on the walls have different amplitudes and phase. The flow is investigated in a wave frame of reference moving with velocity of the wave. The effect of aspect ratio, phase difference, varying channel width and wave amplitudes on the pumping characteristics and trapping phenomena are discussed in detail. The results are compared to with those corresponding to Poiseuille flow.
