African Journal of Physics

African Journal of Physics Vol. 3 (5), pp. 119-126, May, 2016. © International Scholars Journals

Full Length Research Paper

Natural convection flow of a non-Newtonian Casson fluid past a vertical stretching plane with mass transfer

Gamal T. ElBaradei

Department of Mathematics, Faculty of Science, South Valley University, Qena, Egypt. E-mail: elbarad@yahoo.com.

Accepted 22 March, 2015

Abstract

Three dimensional natural convection heat transfer flow of a non-Newtonian Casson fluid from a vertical stretching plane with surface mass transfer is investigated. 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 very robust computer algebra software MATLAB employing the routine bvpc45. Numerical calculations are obtained for the heat transfer from the stretching sheet and the wall temperature for a Casson parameter and a large range of values of the Prandtl number Pr . A comprehensive numerical computation is carried out for various values of the parameters that describe the flow characteristics, and the results are reported graphically. The missing values of the velocity and thermal functions are tabulated. The effect of increasing values of the Casson parameter b is to suppress the velocity field, whereas the temperature is enhanced with increasing Casson parameter.

Key words: Stretching plane, Casson fluid, free convection, mass transfer.