Hydromagnetic flow of water based nanofluids over a nonlinearly stretching sheet in the presence of velocity slip, temperature jump, magnetic field, nonlinear thermal radiation, thermophoresis and Brownian motion has been studied. The article focuses on Cu water nanofluid and Ag water nanofluid. The similarity transformation technique is adopted to reduce the governing nonlinear partial differential equations into nonlinear ordinary differential equations and then they are solved numerically utilizing the Nachistem – Swigert shooting method along with the fourth order Runge Kutta integration technique. The influence of physical parameters on the flow, temperature and nanoparticle volume fraction are presented through graphs. Also the values of the skin friction coefficient at the wall and nondimensional rate of heat transfer are given in a tabular form. A comparative study with previous published results is also made.
S.P Anjali Devi, M. Agneeshwari and J. Wilfred Samuel Raj
In this paper, an investigation is made to analyze the effects of radiation on an MHD boundary layer flow and heat transfer over a nonlinear stretching surface with variable wall temperature and non-uniform heat source/sink. A suitable similarity transformation is used to transform the governing nonlinear partial differential equations into a system of nonlinear ordinary differential equations by using the Nachtsheim Swigert shooting iteration technique together with the fourth order Runge Kutta method. The effects of various physical parameters over a dimensionless velocity and dimensionless temperature are presented graphically. The numerical results for the skin friction co-efficient and non-dimensional rate of heat transfer are presented and discussed for several sets of values of the parameters. Comparisons of numerical results are made with the earlier published results under limiting cases.