Numerical Study on Hydromagnetic Nanofluid Convective Flow Through Artificial Kidney With the Effects of Hall Currents Past Porous stretching Cylinder

This work investigates how Hall currents influence the convection flow of a hydromagnetic nanofluid past a porous stretching cylinder through hollow tubes in an artificial kidney. Dialysis removes more metabolic excretory products and naturally occurring nitrogenous waste from a patient’s blood by using a man made device, an artificial kidney. It is used in patients whose both natural kidneys are damaged and can no longer filter blood. In this study, blood has been considered an incompressible biofluid that flows during hemodialysis. When a magnetic flux is applied perpendicularly in the direction of the porous cylinder that functions as the dialyzer for the prosthetic kidney, the flow becomes irregular. The study’s novelties include the use of Hall currents and nanoparticles to the blood taken from the patient during dialysis in an artificial kidney to enhance the nanofluid’s thermal transfer rate, its dynamic viscosity, heat conduction coefficient, and thermal penetration rate. This study aims to improve hemodialysis sessions, which usually last two to six hours. In an artificial kidney, magnetically influence flow of convection fluid with suspension of sized nanoparticles via hollow membranes across a porous, stretched cylinder influenced by Hall currents is controlled by coupled and nonlinear equations. The Crank-Nicolson method is implemented to tackle the set of coupled and non-linear system equations. The findings obtained after MATLAB simulation are then shown graphically and discussed. It has been noted when a patient’s blood is filtered by an artificial kidney, dialysis time, temperature, and nanofluid velocity can all be enhanced by increasing Hall currents, adjusting the stretching cylinder parameter as a heat source, and adding nanoparticles to the base fluid.