Abstract
The submerging of nanoparticles in the base fluid is the latest technique to enhance the heat efficiency of regular fluids. The suspension of the solid particles and base fluid is known as nanofluid. The study of bioconvection properties in the incompressible flow of non-Newtonian Williamson nanoliquid with gyrotactic motile microorganisms through melting wedge with thermal radiation, thermal and exponential space-based heat source is analyzed by utilizing governing equations, i.e. continuity's equation, momentum's equation, temperature's equation, concentration's equation and microorganism's equation. The system that comprises differential equations of partial derivatives is restricted into an ordinary one via suitable similarity variables and then integrated numerically through powerful bvp4c solver with shooting algorithm in MATLAB. The developed mathematical method is focused on Brownian and thermophoresis diffusions with bioconvection. The effects of prominent parameters on the flowing characteristics are scrutinized from a physical point of view. The numerical results of modeled system are explored and mentioned in detail with the aid of tabular data. The results show that the velocity of the fluid is improved with an augmentation in mixed convective and melting parameters. It is concluded that the occurrence of magnetic field resists the flow of fluid and relevant boundary layer reduces.