Heat transfer in boundary layer stagnation-point flow towards a shrinking sheet with non-uniform heat flux

摘要

In this paper,the effect of non-uniform heat flux on heat transfer in boundary layer stagnation-point flow over a shrinking sheet is studied.The variable boundary heat fluxes are considered of two types:direct power-law variation with the distance along the sheet and inverse power-law variation with the distance.The governing partial differential equations (PDEs) are transformed into non linear self-similar ordinary differential equations (ODEs) by similarity transformations,and then those are solved using very efficient shooting method.The direct variation and inverse variation of heat flux along the sheet have completely different effects on the temperature distribution.Moreover,the heat transfer characteristics in the presence of non-uniform heat flux for several values of physical parameters are also found to be interesting.