Abstract

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MHD FULLY DEVELOPED FLOW OF A THIRD GRADE FLUID IN A PLANE DUCT

M. Abbasi, M. Khaki


In this paper, an appropriate analysis has been performed to study the incompressible fully developed flow of a non-Newtonian third grade fluid in a plane duct under an externally applied magnetic field. The governing equations, continuity, momentum and Ohm’s law for this problem are reduced to an ordinary form and are solved by Homotopy Analysis Method (HAM). The present study works on new algorithm which proposes more suitable initial function with faster convergence to final solution in comparison with traditional method in HAM. From the physical point of view, the results indicate that the behavior of non¬-Newtonian third grade fluid flow approached the Newtonian one with increasing the magnetic field strength.