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Exact analytical solutions for the Poiseuille and Couette-Poiseuille flow of third grade fluid between parallel plates
Authors:Mohammad DanishShashi Kumar  Surendra Kumar
Institution:Department of Chemical Engineering, Indian Institute of Technology Roorkee, Roorkee 247667, Uttarakhand, India
Abstract:Exact analytical solutions for the velocity profiles and flow rates have been obtained in explicit forms for the Poiseuille and Couette-Poiseuille flow of a third grade fluid between two parallel plates. These exact solutions match well with their numerical counter parts and are better than the recently developed approximate analytical solutions. Besides, effects of various parameters on the velocity profile and flow rate have been studied.
Keywords:Non-Newtonian fluid  Poiseuille flow  Couette-Poiseuille flow  Exact solution
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