Couette flow of a third-grade fluid with variable magnetic field |
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| Affiliation: | 1. Department of Mathematical Sciences, Quaid-i-Azam University, Islamabad, Pakistan;2. School of Mathematics, Centre for Differential Equations Continuum Mechanics and Applications, University of the Witwatersrand, P Bag 3, Wits 2050, South Africa |
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| Abstract: | This investigation deals with the analytic solution for the time-dependent flow of an incompressible third-grade fluid which is under the influence of a magnetic field of variable strength. The fluid is in an annular region between two coaxial cylinders. The motion is induced due to an inner cylinder with arbitrary velocity. Group theoretic methods are employed to analyse the nonlinear problem and a solution for the velocity field is obtained analytically. |
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