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Effects of slip on the non-linear flows of a third grade fluid |
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| Authors: | R Ellahi T Hayat FM Mahomed S Asghar |
| Institution: | 1. Department of Mathematics and Statistics, Faculty of Basic and Applied Sciences IIUI, H-10 Sector, Islamabad, Pakistan;2. Department of Mathematics, Quaid-I-Azam University, Islamabad, Pakistan;3. Centre for Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathematics, University of the Witwatersrand,Wits 2050, Johannesburg, South Africa;4. Department of Mathematical Science, COMSATS Institute of Information Technology, Sector H-8, Islamabad, Pakistan |
| Abstract: | The present analysis considers the non-linear problems of steady flow of a third grade fluid between the concentric cylinders. A complete analysis of mathematical modeling is made when no-slip condition is no longer valid. Exact analytic solutions of the following two non-linear problems are derived: (i) when inner cylinder moves and outer cylinder remains stationary and (ii) for inner cylinder at rest and outer cylinder in motion. Graphical results are presented to illustrate the analytic solutions. The corresponding results of no-slip condition are deduced as the limiting cases when the slip parameter is equal to zero. |
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