Shear flow of two immiscible non-Newtonian nanofluids considering motion of motile microorganisms

This study numerically investigates the heat and mass transfer characteristics in two-phase boundary layer shear flows involving non-Newtonian Eyring-Powell and Casson fluids with motile microorganisms. Incorporating microorganisms into nanofluids enhances the thermal conductivity and overall stability of fluid flow, offering significant potential applications in fields such as biomedical engineering, energy systems, and industrial processes requiring precise thermal control. The analysis includes critical effects such as thermophoresis, thermal radiation, and Brownian motion, capturing the complex interplay of these phenomena on flow behavior. The simulations focus on the convergence of boundary layers with varying shear strengths, employing a fourth-order Runge-Kutta method coupled with the shooting technique and appropriate similarity transformations for efficient computation. Graphical representations of the numerical results offer insights into how key parameters affect flow characteristics, including velocity, temperature, and concentration profiles. Detailed numerical outcomes for the local density of motile microorganisms, Sherwood number, Nusselt number, and shear stress are presented in tabular form for both fluid types. The findings reveal that the Casson parameter enhances the velocity profile, while increases in viscosity ratio and shear strength parameters diminish it. Moreover, Brownian motion and thermophoresis effects lead to a reduced temperature profile near the boundary. These insights are vital for optimizing processes in microfluidic devices, enhancing thermal energy systems, and improving chemical reactors and separation technologies.