In this article, effect of a time-dependent\nstenosis on the flow of a non-Newtonian fluid through\nporous medium in axially symmetric constricted tube is\nanalyzed using integral method. The study is based on a\nsecond grade fluid model. An order of magnitude analysis\nis performed to simplify the model for mild constriction.\nIntegral approach coupled with the fourth-order polynomial\nsolution for the velocity profile is used. The effect of\ndifferent non-dimensional parameters such as Reynolds\nnumber, non-Newtonian parameter, porous parameter and\ntime emerging in the model on velocity profile, pressure\ngradient, wall shear stress, separation and reattachment\ndata are presented and discussed graphically. Velocity of\nthe fluid increases with an increase in time, while with the\nincrease in porous parameter velocity of the fluid decreases.\nIt is noted that Reynolds number provides a mechanism\nto control the attachment and de-attachment points for\ndifferent values of porous parameter. The present study is\nvalid only for mild stenosis.
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