Numerical solution of heat transfer and skin friction for mixed convection stagnation flow towards a vertical shrinking sheet by using BVP4C / Nurul Hamizah Ali, Nur Fitrah Mohd Yatim and Nur Hazimah Md Sharif @ Abu Hassan

This study examined the heat transfer and skin friction of mixed convection at stagnation point flow towards a vertical shrinking sheet and considered the effects of boundary layer thickness on velocity and temperature profiles. A system of nonlinear partial differential equations is applied to model the physical issue, which is then properly transformed into nonlinear ordinary differential equations. The purposes of this research are to solve the similarity equations produced by using the similarity transformation approach, to obtain the numerical result from the transformed ordinary differential equation by using BVP4C method, and to analyze the numerical resultobtained from the transformed ordinary differential equation. By using BVP4C method in the MATLAB software, these equations and the related boundary conditionsare numerically solved. The results presented the smoothness of two-dimensional heat transfer and skin friction graph behavior for the shrinking sheet problems and compared it to the stretching sheet problem. The specification of shrinking sheet problem was also shown through the skin profiles that have been presented. From the result, we obtained that when the curve of skin friction and heat transfer approaching the negative regions of γ, the curve decreases dramatically. In conclusion, there was a favourable agreement between the comparative results.