Second Grade Slip Flow over a Non-Linearly Stretching Surface with Radiation Effects and Variable Fluid Properties under Convective Boundary Condition

Abstract

This study intends to assess the slip flow of non-Newtonian second-grade fluid influenced by a non-linear radially stretching surface embedded in porous medium. The fluid characteristics, namely, viscosity and thermal conductivity, are considered temperature-dependent. Thermal radiation effects are invoked in the study. Apart from it, the influence of other heat transport characteristics (viscous dissipation and non-linear heat generation) are included in the investigation. The regulating PDEs, which originate from the momentum and energy conservation principle, using the appropriate similarity transformation relations are converted into non-dimensional ODEs and then numerically solved using the MATLAB-based Bvp4c technique. Graphs are plotted to examine the impacts of various parameters occurred in the problem on velocity and temperature profiles. Further, quantities of engineering importance (Nusselt number and skin-friction coefficient) are also represented in graphical mode and discussed. For validity of the study acquired results are compared with prior research and found in excellent match. The factors like variable viscosity, stretching index, and slip exhibit a reducing tendency of the flow field. Temperature field also lessens due to the stretching index, while the opposite effect is observed due to the existence of the radiation, convective surface, and variation in thermal conductivity. Further, increasing the stretching index augments the Nusselt number and skin friction coefficient.