Momentum and heat transfer behaviour of Jeffrey, Maxwell and Oldroyd-B nanofluids past a stretching surface with non-uniform heat source/sink

In this paper, we proposed a new mathematical model for investigating the momentum and heat transfer behaviour of Jeffrey, Maxwell and Oldroyd-B nanofluids over a stretching surface in the presence of transverse magnetic field, non-uniform heat source/sink, thermal radiation and suction effects. The governing boundary layer partial differential equations are transformed into nonlinear ordinary differential equations by using similarity transformation and solved numerically by using Runge-Kutta based shooting technique. The effects of non-dimensional governing parameters on the flow and heat transfer are discussed with the help of graphs. Numerical values of the skin friction coefficient and the local Nusselt number are computed and discussed. We found an excellent agreement of the present results by comparing with the published results. Results indicate that the Jeffrey nanofluid has better heat transfer performance while compared with the Maxwell and Oldroyd-B nanofluids. (C) 2016 Ain Shams University.