Finite Element Analysis of Heat and Mass Transport in a Non-Newtonian Nanofluid over an Inclined Non-Linear Absorbent Sheet

Many researchers have been drawn to the dynamics of non-Newtonian fluids due to their numerous uses across scientific and technological domains, including polymer extrusion, condensation mechanisms, and advanced cooling technologies. The uniqueness of this study lies in incorporating cross-diffusion effects on a nonlinear absorbent sheet. Additionally, the current work focused on the analysis of heat and mass transfer in a magnetohydrodynamic Casson nanofluid flow across a nonlinear absorbent sheet. Based on the laws of fluid motion, a physical problem for incompressible steady-state flow is formulated. The formulated model is converted into dimensionless ordinary differential equations by the application of a similarity transformation. Numerical simulations are computed by using the Finite Element Method (FEM) MATLAB built-in package. The study highlights several key outcomes that Casson's term improved the fluid's resistance to deformation, thereby thickening the velocity boundary layer. Brownian motion and Thermophoretic effects meaningfully augmented nanoparticle distribution, leading to an obvious rise in concentration distributions. The Dufour and Soret effects established a high connection between thermal and concentration fields, boosting both Nusselt and Sherwood numbers. Grid independence and validation have been conducted to validate the current model. These findings reveal new insights into combined thermal-solutal distribution in Casson nanofluids and give necessary information for the design of industrial heat-transfer systems, porous media technologies, energy devices, and advanced thermal systems applications.