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Analytical Solution of Linear, Quadratic and Cubic Model of PTT Fluid
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Abstract
An attempt is made for the first time to solve the quadratic and cubic model of magneto hydrodynamic Poiseuille flow of Phan-Thein-Tanner (PTT). Series solution of magneto hydrodynamic (MHD) flow is developed by using homotopy perturbation method (HPM). Results are presented graphically and the effects of non-dimensional parameters on the flow field are analyzed. The results obtained reveals many interesting behaviors that warrant further study on the equations related to non-Newtonian fluid phenomena.