Time-dependent Casson fluid flow over a vertical Riga plate subjected to slip conditions and thermal radiation: Aspects of Buongiorno’s model

Abstract

The study focuses on a vertical Riga surface-induced mixed convective, unsteady stagnation point flow of Casson fluid. This flow exhibits nonlinearity due to thermal radiation, chemical processes, Brownian motion, thermophoresis, Maxwell slip velocity, and Smoluchowski slip temperature conditions. The study’s goal is to improve thermal efficiency. By using suitable similarity variables, the partial differential equations are transformed into ordinary differential equations. Subsequently, these equations are resolved using the bvp4c function in MATLAB. The numerical findings for concentration, shear stress, Nusselt number, Sherwood number, velocity, and temperature distribution are shown graphically. When the values of the Casson parameter increase, the velocity profile was also increased while the concentration and temperature profiles decreased. The unsteadiness parameter increase was followed by a rise in the skin friction and a decrease in the profiles of Nusselt number and Sherwood number. Profiles of skin friction, Nusselt number, and Sherwood number were raised with the increased values of the modified Hartmann number. Increasing parameter values of Brownian motion result in a decrease of the Nusselt number profile, while the Sherwood number profile increases. On the other hand, as the thermophoresis parameter increase, the profiles of the Nusselt number and Sherwood number decrease. This study will aid in the improvement of the understanding of fluid dynamics and nanotechnology and, eventually, the creation of more effective and sustainable engineering-based solutions. When we compared our results to those of other studies in the literature, we discovered that they were quite consistent.