Computational dynamics of an improved inclined plate with variable temperature and variable mass diffusion in the existence of thermal convection effects

This study examines the movement of an inert liquid (water or oil) over an inclined surface subjected to increasing temperature over time. Using the Laplace-transform approach, we simplify the analysis of the system's dynamic behavior. The non-dimensional governing equations derived describe variations in velocity (S), temperature (θ), and intensity (R) within the system. The key physical factors considered include the Schmidt number (Sc), Prandtl number (Pr), Grashof number (Gr), angle of inclination, and experiment duration. Our findings reveal that an increase in Grashof number (Gr) and Prandtl number (Pr) leads to higher fluid velocity, suggesting the enhancement of fluid motion due to greater temperature differentials and thermal diffusivity. Conversely, a decrease in the H parameter, Sherwood number (Sh), and experiment duration results in an increased fluid velocity, which indicates the influence of surface roughness, mass transfer efficiency, and experiment duration on fluid flow. Furthermore, increasing the Prandtl number correlates with a rise in the Nusselt number, demonstrating enhanced heat transfer. These insights into the effects of varying physical parameters on liquid movement over inclined surfaces have implications for applications in heat exchangers, cooling systems, and industrial processes where fluid flow and temperature control are critical. The novelty of the present work lies in the extension of the mass transfer effect investigation on an inclined plate. Previously, the plate had a uniform temperature and mass diffusion or a variable temperature and uniform mass diffusion. In this study, the plate has both variable temperature and variable mass diffusion.