Numerical investigation of magnetohydrodynamic (MHD) bioconvective flow of Carreau-Casson nanofluid across a paraboloid of revolution surface

This study examines the bioconvective flow of Carreau and Casson nanofluids under magnetohydrodynamic (MHD) conditions over the upper surface of a rotating paraboloid of revolution. The nanofluid behavior is characterized by incorporating Brownian motion and thermophoresis effects, which play a significant role in modern technological applications. The governing nonlinear ordinary differential equations are solved numerically using MATLAB’s bvp4c solver in combination with the shooting technique, ensuring accuracy and reliability of the obtained results. Graphical depictions of the data illustrate that an elevation in the magnetic parameter results in a reduction of the velocity profile, due to the Lorentz force. Higher values of the thermophoresis parameter make the thermal field stronger, whereas a higher Prandtl number makes the temperature distribution less even. The impact of bioconvection Lewis number and Peclet number on the motile microorganism distribution are analyzed, demonstrating a reduction in microorganism density with higher values of these parameters. For use in engineering and industrial processes, the results provide light on the intricate interactions among flow dynamics, heat transfer, and nanoparticle dispersion. This research enhances the comprehension of non-Newtonian fluid dynamics in curved geometries, applicable to medication administration, biomedical devices, and microelectronic cooling systems. It looks at how Carreau and Casson nanofluids flow through a rotating paraboloid in MHD bioconvection. We look at how Brownian motion, thermophoresis, and magnetic fields affect the speed, temperature, and spread of microorganisms.