Abstract

This study investigates theoretically the problem of free convection boundary layer flow of nanofluids over a non-linear stretching sheet. The model used for the nanofluid incorporates the effects of buoyancy parameter, the solutal buoyancy parameter and the power law velocity parameter, and found to have strong influence on the system. The resulting non-linear partial differential equations with associated boundary conditions are solved using an implicit finite difference scheme known as the Keller-box method. In the absence of buoyancy parameter and the solutal buoyancy parameter for (the non-linear stretching parameter), our results showed an excellent agreement with those of Khan and Pop (2010). The physics of the problem is well explored for the embedded material parameters through tables and graphs.

Key words: Conjugate effects, nanofluids, nonlinear stretching sheet, numerical solutions.