Heat and Mass Transfer Research Journal (HMTRJ)

Research Article

Boundary layer flow and heat transfer of a Casson fluid over a stretching sheet with Newtonian heating

A. Mahdy

Mathematics Department, Faculty of Science, South Valley University, Qena, Egypt

Submitted: July 30, 2018; Revised: December 16, 2018; Accepted: December 18, 2018

Abstract

This investigation focused on the case of steady boundary layer flow and heat transfer of non-Newtonian fluid over a stretching sheet with Newtonian heating (NH), in which heat transfer from the surface is proportional to the local surface temperature. Casson fluid model is used to characterize the non-Newtonian fluid behavior. The transformed governing nonlinear boundary layer equations are solved numerically by means of the very robust computer algebra software MATLAB employing the routine bvpc45. Numerical solutions are obtained for heat transfer from the stretching sheet and the wall temperature for a Casson parameter and a large range of values of Prandtl number Pr . The Newtonian heating is controlled by a dimensionless conjugate parameter, which varies between zero (insulated wall) and infinity (wall temperature remains constant). The important findings in this study are the variation of the surface temperature and heat flux from the stretching surface with the Casson parameter β , the conjugate parameter γ and Prandtl number Pr . It is observed that these parameters have essential effects on the heat transfer characteristics. A comprehensive numerical computation is carried out for various values of the parameters that describe the flow characteristics, and the results are reported graphically.

Keywords

Stretching sheet; Casson fluid; boundary layer, Newtonian heating.

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