A PULSATILE WILLIAMSON NANOFLUID FLOW WITH MOTILE MICROORGANISMS BETWEEN TWO PERMEABLE WALLS: EFFECT OF MODIFIED DARCY’S LAW

Abstract

The goal of the proposed project is just to look at the non-Newtonian Williamson MHD pulsatile movement of an incompressible nanofl uid in the existence of astream of motile microorganisms. Between two permeable vertical walls, the fl ow is saturated in porous media. The non-Newtonian fl uid is described using themodifi ed Darcy’s law. An unchanged normal magnetic fi eld to the walls pervades the system. On the heat transmission, the consequences of viscous dissipation andthermal radiation in addition to volumetric nanoparticles fraction and microorganisms concentration are scrutinized. Owing to the pulsatile fl ow, each of the maindistributions is divided by two steady and oscillatory parts. The nonlinear fundamental equations are analyzed using the Homotopy perturbation method (HPM). Theimpact of numerous physical restrictions is examined and depicted in a series of graphs. The investigation yields signifi cant fi ndings and useful results in realitywhich correspond to those already found in the existing literature.