Computational Study of Unsteady Stagnation Point Heat and Mass Transfer along the Stretching/Shrinking Sheet with the Effect of Inclined Magnetic Field

Abstract

This abstract is based on a study that highlights the unsteady static boundary layer that is going along a elastic or constricting sheet being influenced by an inclined magnetic-field. This is being investigated and aimed to a critically checked the mutual consequences of unsteadiness, stretching/shrinking, while an inclined a boundary layer having inclined magnetic field character- istics and behavioral patterns of flow. Employing similarity transformations, a collection of equa- tions, which may encompass the momentum, energy, and continuity equations, is initially gener- ated and subsequently converted into systematic nonlinear differential equations. The variable equations are solved numerically by the effective utilization of computational technologies. Within the boundary layer, various characteristics, including the Prandtl number, shrinking/stretching, un- steadiness, and magnetic field, significantly affect temperature, velocity, and the skin friction co- efficient's angle of inclination, as explained by numerical simulations. The thickness of the heat transfer boundary layer and the local Nusselt number are influenced by these characteristics. It is observed that the flow properties can be significantly altered by the presence of a magnetic field as compared to a situation without one. The velocity and temperature profiles can get effected by the magnetic inclination angle which may cause several changes in the heat transfer rate and boundary layer thickness. The temperature and velocity profiles are being amplified near the sheet due to the shrinking/ stretching parameters, unsteadiness. Furthermore, the greater the values the greater the degree of effects caused by these parameters. This study has tremendous applications in various emerging fields like in engineering as heat transfer systems and material processing. The final re- sults that are obtained from it highlights the contribution in understanding intricate fluid dynamic systems and how an inclined magnetic field effects the behvioral unsteady stagnation of boundary layer that perhaps flowing under it.