MHD Non-Uniform Heat Source / Sink for Microorganism Bioconvection Flow on Casson Nanofluid Over an Exponential Stretching Sheet

This study explores the numerical analysis of Casson nanofluid flow over an exponential stretching sheet, incorporating the effects of magnetic field, nonuniform heat source/sink, activation energy and motile microorganisms. The primary aim of the current study is to investigate the effects of these factors on the bioconvection dynamics within the fluid. By using a bvp4c algorithm, the governing equations that describe the nanofluid flow, taking into account of the non-Newtonian Casson fluid behaviour over an exponential stretching sheet’s velocity, temperature and concentration profiles along with the influence of activation energy on chemical reactions. Additionally, the study examines how motile microorganisms interact with the nanofluid flows, affecting the bioconvection patterns and overall fluid behaviour. The analysis provides a comprehensive understanding of the interplay between these variables and their effect on heat and mass transfer in the system. The results reveal that, for higher activation energy increases the temperature gradient and concentration fields, affecting the overall bioconvection process. The motile microorganisms impact to the bioconvection process by affecting the concentration and velocity fields. Their presence modifies the bioconvection patterns, which can either enhance or suppress the convective transport depending on their density and motility. Also, an increase in the values A∗ and B∗ leads to a enhance the fluid temperature.