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On the homotopy solution for Poiseuille flow of a fourth grade fluid |
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| Affiliation: | 1. Department of Physics, IHSE, Siksha ‘O’ Anusandhan Deemed to be University, Bhubaneswar, 751003, Odisha, India;2. Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore, 641020, India;3. Department of Mathematics, Quaid-I-Azam University, Islamabad, 45320, Pakistan;4. NUTECH School of Applied Sciences and Humanities, National University of Technology, Islamabad 44000, Pakistan;5. Faculty of Military Science, Stellenbosch University, Private Bag X2, Saldanha 7395, South Africa |
| Abstract: | This paper develops a mathematical model with an aim to compute the analytic solution for the flow of a fourth grade fluid between two fixed porous walls. The flow is induced under the application of a constant pressure gradient. The arising nonlinear problem is treated analytically yielding a series solution by homotopy analysis method (HAM). Results of velocity and shear stresses at the walls are obtained. The impacts of several flow parameters are examined on the velocity and shear stresses. |
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