Second law analysis of Casson Darcy-Forchheimer flow in two-phase nanomaterials with solar radiation and microbial cells using Homann mixed convection modeling

This article examines the significance of entropy production of two-phase Casson nanomaterial considering microbes cell, compelled by the Homann stagnant point past a vertical deformable sheet. The flow is modeled via porous medium laden by Darcy-Forchheimer drag effects, influenced by heated radiation and buoyancy effect. The suction/injection and convective flow have been applied on the boundary conditions. The double diffusive heat/mass theory model has been considered to signify the influences of thermal/solutal relaxation time in contrast to traditional Fourier and Fick's equations. Employing similarity alteration, the constitutive equations are dimensionalized and rehabilitated into a system of ODE's. These are then semi-analytically considered through a robust Homotopy analysis method (HAM) along convergence analysis on MATHEMATICA 12.0. The various profiles have been examined against the various physical variables. The findings clarify the combined effects on entropy production along transfer mechanism of the fluid factor, inertia coefficient, buoyancy factor, heated radiation factor, and thermal/mass relaxation time. Moreover, Casson fluid parameter is declined the velocity filed. Moreover, thermophoresis factor is greatly enhanced for the temperature and concentration fields. Additionally, the entropy production is declined via the Brickman number and porosity factor but boosted through the Bejan number. This study sheds new light on the thermal efficiency of biological-nanofluidic structures, which may find usage in solar and thermal collectors, medicinal tools, including innovative energy technologies.