Insights of Thermal Behavior of Bioconvective Williamson Fluid Flow over a porous curved stretching surface with Chemical Reactions: A Numerical Study

The current study focuses on analyzing the two-dimensional bioconvective flow of a Williamson fluid over a porous curved stretching surface, by considering homogeneous-heterogeneous reactions and Darcy Forchheimer effect. The investigation explores the thermal properties of the flow under the impact of several factors such as Joule heating, thermal radiation, and heat generation/absorption. The surface boundary conditions are thermally stratified with a perpendicular magnetic field applied to the surface. By employing suitable transformations, the momentum and energy equations are converted into a system of nonlinear ordinary differential equations, which are subsequently solved numerically via the BVP4C approach on MATLAB. The results are presented graphically and tabular form, which reveals that fluid velocity decreases with increasing porosity and Williamson parameters. Similarly, fluid temperature decreases with higher thermal Prandtl numbers and stratification parameters. Additionally, the microorganism profile increases with the curvature parameter, while it shows a declining trend when the Peclet number and bio-convection Lewis number are increased.