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

Abstract

The aim of the proposed scheme is to look at the non-Newtonian Williamson magnetohydrodynamics (MHD) pulsatile movement of an incompressible nanofluid in the existence of motile microorganisms. The flow is saturated in porous media between two permeable vertical walls. The non-Newtonian fluid is described by employing the modified Darcy's law. An unchanged normal magnetic field pervades the structure to the walls. The novelty of the ongoing work originates from a desire to highlight the role played by microbes and bacteria, as well as nanoparticles in the use of significant pulsatile pump flow. The heat transmission, effects of viscous dissipation, and thermal radiation, in addition to volumetric nanoparticles fraction and microorganism concentration, are scrutinized. Regarding the pulsatile flow, each of the distributions is divided into two steady and oscillatory parts. The nonlinear fundamental equations are analyzed by means of the homotopy perturbation method (HPM). The impact of numerous physical restrictions is examined and depicted in a series of graphs. It is found that the existence of microorganisms obstructs the flow and reduces its speed. This infection can be avoided by reducing the parameters of buoyancy and bio-convection. All heat-related parameters are found as incremental factors of heat flux, which is an important phenomenon in many medical and engineering applications.