Concept of surface-emitting radiation on thermal transport for boundary layer model

Radiative heat transfer plays a pivotal role in numerous industrial and engineering applications. While considerable research has been conducted on the influence of thermal radiation on boundary layer flow over stretching surfaces, these studies predominantly consider the fluid as the sole radiative medium. In contrast, the present investigation introduces a novel perspective by incorporating a radiative surface, an imposed boundary condition that actively emits radiation, into the analysis of boundary layer fluid flow and heat transfer. By accounting for surface radiation effects through appropriate radiation boundary conditions, this study offers comprehensive information about the coupled interaction between surface-emitted radiation and the surrounding fluid medium. The governing non-linear partial differential equations are transformed into a system of non-linear ordinary differential equations using suitable similarity transformations. The effects of key physical parameters are analyzed both graphically and through tabulated results. It is observed that the heat transfer rate significantly increases with the emissivity parameter, and the Nusselt number demonstrates an enhancing trend with respect to the radiation parameter, thereby highlighting the substantial impact of surface radiation on thermal transport phenomena.