Hall Current and Ion Slip Effects on 3D MHD Nanofluid Flow of Eyring-Powell Fluid with Gyrotactic Microorganisms

Abstract

This study explores the three-dimensional magnetohydrodynamic (MHD) flow of an Eyring-Powell nanofluid over a stretching sheet, incorporating the combined effects of Hall current, ion slip, gyrotactic microorganisms, thermal radiation, Brownian motion, thermophoresis, and key dimensionless parameters such as the Schmidt and Prandtl numbers. The investigation focuses on the practical applications of such flows, particularly in bioengineering and thermal systems, where magnetic fields and bio-convection play a crucial role. The governing equations are solved numerically using MATLAB's bvp4c solver, providing detailed insights into velocity profiles, temperature distribution, nanoparticle concentration, and microorganism density. Additionally, the study evaluates critical engineering parameters, including skin-friction coefficients, Nusselt number, Sherwood number, and motile microorganism density profiles. To ensure accuracy, the numerical method is validated against existing literature, confirming the reliability of the results. The findings offer valuable implications for enhancing heat and mass transfer in nanofluid-based technologies, thermal management systems, and bio-convective applications.