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Oscillatory flow of second grade fluid in cylindrical tube |
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| Authors: | A. Ali S. Asghar H. H. Alsulami |
| Affiliation: | 1. Laboratoire Jean Alexandre Dieudonne, Universite de Nice Sophia Antipolis, Parc Valrose, Nice 06108, France;2. Department of Mathematics, Commission on Science and Technology for Sustainable Development in the South, Institute of Information Technology, Islamabad 44000, Pakistan;3. Department of Mathematics, King Abdulaziz University, Jeddah 21432, Saudi Arabia |
| Abstract: | The unsteady oscillatory flow of an incompressible second grade fluid in a cylindrical tube with large wall suction is studied analytically. Flow in the tube is due to uniform suction at the permeable walls, and the oscillations in the velocity field are due to small amplitude time harmonic pressure waves. The physical quantities of interest are the velocity field, the amplitude of oscillation, and the penetration depth of the oscillatory wave. The analytical solution of the governing boundary value problem is obtained, and the effects of second grade fluid parameters are analyzed and discussed. |
| Keywords: | second grade fluid cylindrical coordinate oscillatory flow incompressible flow laminar flow Navier-Stokes equation partial differential equation Wentzel- Kramers-Brillouin （WKB） approximation |
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