Bio-convective flow of magnetized Casson fluid over a sheet in the presence of thermophoretic particle deposition and convective boundary conditions

Abstract

This research examines the flow of incompressible Casson fluid with gyrotactic microorganisms and thermophoretic particle deposition across a sheet, incorporating a nonlinear heat source and the convective boundary conditions. Our motivation stems from the need to optimize heat transfer in renewable energy systems and improve thermal regulation in aerospace engineering, which could inform advancements in heat shield design. The impact of this study extends to renewable energy, aiding heat transfer optimization, and in aerospace engineering, it may inform heat shield design. Medical imaging, chemical engineering and environmental remediation benefit from insights into the fluid behavior and particle transport. Based on heat source and thermophoretic particle deposition, this work investigates the concentration, temperature flow and microorganism distributions. Using suitable similarity variables, all equations for the proposed flow are converted into ODEs. The reduced equations are evaluated using the RKF45 method. The impacts of significant parameters on temperature, concentration, microbiological and flow profiles are determined with the support of graphs. The thermal and concentration distributions are improved with an increase in the thermal radiation, heat generation and magnetic parameter. This study enhances knowledge across disciplines including healthcare diagnostics, chemical engineering and ecological restoration by offering fresh perspectives on the dynamics of fluid movement and the transportation of particles.