Thermal Analysis of Magnetized Bioconvective Flow of a Casson Nanofluid With Temperature Dependent Thermal Conductivity: A Numerical Study

The current study has applications in various technical fields, including energy generation, fluid dynamics, geophysical fluid mechanics, and biomedical and industrial engineering. This study aims to investigate the explicit solution of a two‐dimensional Casson nanofluid flow model incorporating an exponential heat exchanger and activation energy. The fluid motion is induced by an exponentially stretching surface under a convective boundary condition and variable thermal conductivity. Additionally, the influence of microorganisms and magnetohydrodynamics (MHDs) is examined. The governing system of coupled partial differential equations (PDEs) is transformed into a set of ordinary differential equations (ODEs) and numerically solved using the bvp4c solver in MATLAB. A comprehensive graphical and tabulated analysis is conducted for various governing parameters. The findings reveal that an increase in the Casson fluid and porosity parameters leads to a reduction in fluid velocity. Moreover, the microorganism density profile declines with increasing bioconvection Lewis number and Peclet number.