Radiation influenced enthalpy driven transport in magneto-bioconvective Casson nanofluid flow over a paraboloid surface of revolution: Implications for subsurface energy systems.

Abstract

This study investigates unsteady magnetohydrodynamic (MHD) boundary-layer flow and bioconvection of a Casson nanofluid over a revolving paraboloid with varying thermophysical properties. We formulated a mathematical model to analyze heat and mass transport under the influence of thermal radiation, viscous dissipation, chemical reaction with activation energy, and motile microorganisms, based on coupled nonlinear partial differential equations (PDEs). The governing PDEs were transformed to a system of nonlinear ordinary differential equations (ODEs) with appropriate similarity transformations and then numerically solved by the bvp4c algorithm in MATLAB. The Casson parameter, magnetic field, curvature, and mixed convection parameters have a strong influence on velocity profiles. With the increase of radiation, more heat generation, and thermophoresis, the temperature profile rises while the fluid concentration lowers with increasing Damköhler number and activation energy. In addition, it is observed that the density of the bioconvective microorganisms decreases as the Peclet and bioconvection Lewis numbers increase. Also, it is seen that with the increase of Peclet and bioconvection Lewis numbers, the density of the bioconvective microorganisms decreases. The results reveal that the radiative and bioconvective transport has a significant influence in the non-Newtonian fluid flow regimes and these findings can be used for predicting the optimization of thermal management in biomedical devices, bioreactor design, and crude oil extraction processes.