The bio-convection analysis for non-Newtonian nano-fluid due to accelerating surface.

Elattar, Samia; Alwadai, Norah; Khan, M. Ijaz

In recent years, there has been a growing trend in modern engineering systems to integrate electromagnetic features with bio-convection phenomena. This integration has found applications in various fields such as materials processing, robotics, nano-sensors, and computational biology. Inspired by these advancements, a computational simulation is presented to study the steady bio-convection thermo-solutal flow of a Casson nano-fluid, which is a visco-plastic fluid. The simulation takes into account factors such as thermal radiation, heat generation, Soret and Dufour effects, chemical reaction, and convective boundary conditions. It also considers the presence of gyrotactic microorganisms. To model the Casson nano-fluid, a revised Casson model is implemented using the Buongiorno nanoscale formulation. The boundary layer concept is used to derive the fundamental conservation partial differential equations for mass, momentum, energy, solute concentration, and microorganism number density, along with appropriate boundary conditions. The model is then transformed into a system of coupled nonlinear ordinary differential equations using suitable transformations. Numerical solutions are obtained using the built-in method in a Mathematica. The results are presented graphically to provide a visual representation of the flow parameters. The main findings are summarized in the conclusion section.

ORDINARY differential equations; NONLINEAR differential equations; PARTIAL differential equations; THERMOPHORESIS; HEAT radiation & absorption

Journal of Thermal Analysis & Calorimetry, 2024, Vol 149, Issue 16, p8899

1388-6150

Academic Journal

10.1007/s10973-023-12529-y