Thermal radiation optimization in magnetohydrodynamic Carreau nanofluids with gyrotactic microorganisms for energy applications

Recently, resourceful thermal controlling is a life-threatening task in several engineering formations where warmth affects enactment, for instance computer electronics, industrialized cooling, and HVAC uses. Old-fashioned cooling approaches regularly struggle with limited inclusions, important to ineptitudes. Nanofluids and optimized reheating devices propose a capable solution; however, their complex thermal performance involves defined projecting modeling. Furthermore, to study a diversity of organic phenomena, including mobile microbes, bacterial ecosystem, cell waving and genetic factor expression can be exploited as model organisms. Their flexibility empowers real-time intensive care and regulates distinct cells or inhabitants of cells. Furthermore, in a fluid, organic elements and microbes could transport together because of chemical or physical gradients, for instance, sunlit, organic absorptions or temperature. This progression is acknowledged as bioconvection. The bioconvection progression of flow happens mainly in microbes. It has an advanced density when we notice an established boundary layer of microbes on the fluid's surface. This is observed as an awfully unstable atmosphere, and an organic flow alleyway is alienated into a succession of bioconvection particles in this condition. The notion of article here is to scrutinize the mutual concept of motile microbe's and mixed convection Carreau bioconvection nanofluid considering magnetic effects. The heat/mass aspects considering Soret/Dufour properties, convective heat theory and radiation have been elaborated. Utilizing similarity alteration in partial differential equations (PDEq) to achieved the required Ordinary differential equations (ODEq). The numerical algorithm bvp4c has been executed to develop the solutions of ODEq and boundary conditions. Here the outcomes of concentration, temperature and motile microorganism's fields graphically have been explained. The Dufour number intensifies, while the Prandtl factor declines the temperature field. The Brownian factor influence has reverse performance on temperature and concentration fields respectively. The Soret number increases the concentration field; however, the motile density field reduces for bioconvection Lewis factor. Percentage increase/decrease : The outcomes of study elaborate that Nusselt number experiences 16.39 % and 2.42 % decrease for the values of Dufour and Brownian factors, respectively. Whereas the performance of Peclet and bioconvection Lewis factors exhibit opposite trend with Nusselt number which presenting 0.02 % and 0.23 % increase for shear thinning/thickening cases.