Analysis of bio-convection in casson hybrid nanofluid flow with motile microorganisms and heat transfer using cattaneo-christov heat and mass flux theory over a cylinder

The aim of current study is to examine the effects of thermal radiation and activation energy with the significance of bioconvection and motile microorganisms on Casson hybrid nanofluid flow passing through a cylinder. The Cattaneo-Christov heat and mass flux theory is also presented in this study. The SWCNT and MWCNT are considered for enhancing thermal transmission rate. The governing PDEs are converted to ODEs using the bvp4c solver with shooting method in mathematical tool MATLAB. The effects of the major variables on velocity profile, temperature distribution, concentration filed, and motile microorganisms profile are graphically and numerically depicted. The velocity field diminishes with increasing values of the buoyancy ratio and magnetic parameter. Conversely, the thermal distribution profile is enhanced with increasing estimations of the thermal radiation parameter, while the opposite trend is observed for the Prandtl number. The concentration distribution profile declines with growing estimations of the Brownian motion parameter and concentration relaxation parameter. Additionally, the motile microorganisms profile declines with both the Bioconvection Lewis number and Peclet number. Future research can include nonlinear heat and mass models transient and 3D flow analysis, MHD effects, chemical reactions, and porous media applications. Experimental validation and AI integration can optimize fluid parameters, while exploring environmental impacts, such as in wastewater treatment, bioreactors, and marine ecosystems, offers practical solutions. Optimizing nanoparticles compositions can further enhance efficiency. Applications span biomedical devices, wastewater treatment, advanced heat exchangers, energy systems, microfluidics, marine studies, and nanotechnology. The work can also improve bioreactors, thermal management in aerospace and automotive systems, and environmental efforts.