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DOI: 10.1615/HeatTransRes.2016007840
pages 797-816

RADIATION EFFECT ON MHD STAGNATION-POINT FLOW OF A NANOFLUID OVER A NONLINEAR STRETCHING SHEET WITH CONVECTIVE BOUNDARY CONDITION

Muhammad Imran Anwar
Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Skudai, Johor, Malaysia; Department of Mathematics, Faculty of Science, University of Sargodha UOS, Sargodha, Punjab, Pakistan
Sharidan Shafie
Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia 81310 UTM Johor Bahru, Johor, Malaysia
Abdul Rahman M. Kasim
Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia JB, 81310 Skudai, Johor, Malaysia
Mohd Zuki Salleh
Applied and Industrial Mathematics Research Group, Faculty of Industrial Sciences & Technology, Universiti Malaysia Pahang, 26300 UMP Kuantan, Pahang, Malaysia

ABSTRACT

The effect of radiation on the MHD stagnation-point flow of a nanofluid over a nonlinear stretching sheet with convective boundary condition is investigated numerically. A small magnetic Reynolds number and Rosseland approximation are also assumed in this study where the sheet is stretched with a power law velocity in the presence of a nonuniform magnetic field applied in the y direction normal to the flow on the sheet. A highly nonlinear problem is modeled using the modified Bernoulli equation for an electrically conducting nanofluid. The momentum, thermal, and concentration boundary-layer thicknesses are intensified with increasing values of the velocity ratio parameter. By using appropriate similarity transformation, the system of nonlinear partial differential equations is reduced to ordinary differential equations. These equations subjected to the boundary conditions are solved numerically using the Keller-box method. Numerical results are plotted and discussed for pertinent flow parameters. A comparison with previous results given in the literature is also made.