Thermal-solutal transport analysis deploying novel fluxes in viscoplastic material when velocity slip, non-Darcian porosity and stratification effects are significant

Non-Fourier relation elucidates conduction of heat subjected to finite thermal wave proliferation speed whereas non-Fick relation reports anomalous diffusion differing from orthodox Fickian conduct. Their applications encompass the modeling of heat-mass transference in biological tissues, environmental engineering and micro/nanoscale systems. These models improve prediction precision in heterogeneous, complex or non-equilibrium environments. Here an attempt is made to model Darcy-Forchheimer dual convected viscoplastic material flow confined by stratified slippery surface. Modeling is based on magnetohydrodynamics, thermal stratification, temperature-dependent conductivity, temperature-dependent diffusivity, chemical reaction and solutal stratification. Deploying similarity variables, the nonlinear coupled complex partial differential expressions are transfigured into a system of coupled ordinary differential expressions. This process streamlines the problem, making it more convenient and assisting the utilization of numerical schemes to solve the simplified differential system. This system is then computed numerically deploying bvp4c algorithm. The outcomes related to drag force are derived and compared with previously reported findings in the existing literature. The comparison demonstrates a high level of agreement between the results obtained in this study and those from prior research. This study provides a comprehensive inspection of specific parameters and their characteristics on concentration, velocity and temperature. Results show that the Hartman number, inertia coefficient parameter, Casson parameter, porosity parameter and velocity slip parameter reduce Casson fluid velocity while reverse scenario is witnessed for mixed convection parameter. Besides the concentration distribution is an escalating function of Hartman number, solutal ratio, mass diffusivity and chemical reaction parameters whereas a reducing trend is found for solutal relaxation time, power index, solutal stratified parameters and Schmidt number.

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