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Fundamental flows with nonlinear slip conditions: exact solutions
Authors:R Ellahi  T Hayat  F M Mahomed  A Zeeshan
Institution:1. Department of Mathematics, Faculty of Basic and Applied Sciences IIU, H-10, Islamabad, Pakistan
2. Department of Mathematics, Quaid-I-Azam University, Islamabad, Pakistan
3. Department of Mathematics, College of Sciences, King Saud University, P.O.Box 2455, Riyadh, 11451, Saudi Arabia
4. Centre for Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathematics, University of the Witwatersrand, Wits, 2050, South Africa
Abstract:In this article, we use nonlinear slip conditions to investigate three fundamental flows. Constitutive equations of the third grade fluid give rise to nonlinear equations. Exact analytic solutions of the nonlinear equations with nonlinear boundary conditions are developed. Numerical values between the dimensionless third grade and slip parameters are tabulated. Graphs are plotted and discussed.
Keywords:
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