Numerical Modeling of Non-Similar Mixed Convection Heat Transfer over a Stretching Surface with Slip Conditions

A. Subba Rao^1*, V. R. Prasad¹, N. Nagendra¹, K. V. N. Murthy¹, N. Bhaskar Reddy², O. Anwar Beg³

¹Department of Mathematics, Madanapalle Institute of Technology and Science, Madanapalle, India.
²Department of Mathematics, Sri Venkateswara University, Tirupathi, India.
³Gort Engovation Research (Propulsion and Biomechanics), Bradford, UK.

DOI: 10.4236/wjm.2015.56013                

Abstract

In this paper, the heat transfer effect on the steady boundary layer flow of a Casson fluid past a stretching surface in the presence of slip conditions was analyzed. The stretching surface is maintained at a constant temperature. The boundary layer conservation equations, which are parabolic in nature, are normalized into non-similar form and then solved numerically with the well-tested, efficient, implicit, stable Keller-box finite difference scheme. The resulting equations are solved numerically by using the Kellerbox finite-difference method, and the expressions for velocity and temperature are obtained. They satisfy all imposed initial and boundary conditions and reduce to some well-known solutions for non-Newtonian fluids. Numerical results for velocity, temperature, skin friction and Nusselt number are shown in various graphs and discussed for embedded flow parameters. It is found that both velocity and temperature decrease with an increase of the Casson fluid parameter.

Keywords

Stretching Surface, Non-Newtonian Fluid, Slip Condition, Keller-Box Numerical Method, Heat Transfer, Skin Friction Coefficient

Conflicts of Interest

The authors declare no conflicts of interest.

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