Boundary layer stagnation point flow and heat transfer over an exponentially stretching sheet using Taylor wavelet method

This study investigates boundary layer stagnation-point flow and heat transfer over an exponentially stretching/shrinking sheet embedded in a porous medium, with emphasis on the effects of suction, blowing, thermal radiation, and heat generation. The governing nonlinear boundary layer equations are numerically solved using the Taylor wavelet method. The results show that suction enhances flow stability by reducing the boundary layer thickness and promoting heat transfer, whereas blowing destabilizes the flow, leading to an increase in boundary layer thickness and a reduction in heat transfer. Thermal radiation raises the temperature within the boundary layer, and heat generation further amplifies this effect, causing additional thickening of the thermal boundary layer. The porous medium introduces resistance, which reduces fluid velocity and intensifies the temperature gradient near the surface. The effectiveness of the Taylor wavelet method in solving nonlinear boundary layer problems is demonstrated. The findings provide valuable insights for optimizing heat and mass transfer in engineering applications such as cooling technologies, material processing, and energy systems.