On the analytic solution of the steady flow of a fourth grade fluid |
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Institution: | 1. Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan;2. COMSATS Institute of Information Technology, H-8, Islamabad 44000, Pakistan;3. Physics Research Division, PINSTECH, P.O. Nilore, Islamabad 44000, Pakistan |
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Abstract: | The steady flow of a fourth grade fluid is a problem belonging to non-Newtonian fluid mechanics and deserves to be more widely studied than it has been to date. In the non-linear regime the literature is scarce. We develop a formulation suitable for solution of hydrodynamic equation containing non-linear rheological effects of fourth grade fluids. The homotopy analysis method (HAM) is used to investigate the flow of a fourth grade fluid past a porous plate. Explicit analytic solution is given. The non-linear effects on the velocity distribution is shown and discussed. Comparison of the present analysis is also made with the existing results in the literature. |
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