Exploration of temperature dependent thermophysical characteristics of yield exhibiting non-Newtonian fluid flow under gyrotactic microorganisms

Mathematical analysis of the variable thermophysical features of the three-dimensional flow of a non-Newtonian yield manifesting liquid with heat and mass transport in the presence of gyrotactic microorganisms over a nonlinear stretched surface is inspected in this exploration. The phenomenon of heat is presented in view of temperature-dependent thermal conductivity by engaging the traditional heat conduction law, whereas transport of mass is expressed by capitalizing Fick’s law with temperature dependent mass diffusion. The Buongiorno model is presented for capturing the involvement of Brownian motion and thermophoresis inspirations. Additionally, the chemical reaction is considered in the mass transport expression. Boundary layer theory is applied to develop the physical problem in the form of partial differential equations. Appropriate transformation is utilized to convert the developed problem into a dimensionless system of coupled nonlinear ordinary differential equations. The transformed system is then handled analytically. The convergence analysis of the proposed scheme is presented through a table, which confirms the reliability of the suggested procedure. Moreover, the validity of the present solution and suggested scheme is presented and the limiting case of presented findings is in excellent agreement with the available literature. The computed solution of the physical variables against the influential parameters is presented through graphs. It is worth mentioning that mounting values of the fluid parameter and magnetic parameter retard the fluid flow.