Thermal analysis of transverse fluid flow in a gradient porous media with the exponentially boundary conditions

In this study, a numerical investigation was conducted on the thermal analysis of transverse fluid flow in a gradient porous medium with exponential boundary conditions. By solving a two-dimensional system of dimensionless equations using the Newton-Raphson method and Galerkin finite element technique, the authors studied the effects of cross-diffusion on double-diffusive natural convection in shells. The simulation results for isoconcentrations, isotherms, and stream functions were analyzed for different flow parameters, and it was found that the mean Dufour and Soret numbers were more susceptible to cross-diffusion impacts. The researchers also found that altering the tilt angle of the trapezoidal enclosure can significantly impact flow circulation and temperature gradient, which has important implications for thermal energy control in different technical appliances. This study provides valuable insights into the thermal behavior of fluid flow in porous media, which can aid in the development of more efficient and effective thermal systems.