Abstract
In the Present study, the steady flow and heat transfer of Casson fluid from a permeable horizontal cylinder in the presence of slip condition in a non-Darcy porous medium is analyzed. The cylinder 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. Increasing the velocity slip parameter is found to decrease the velocity and boundary layer thickness and increases the temperature and the boundary layer thickness. The velocity decreases with the increase the non- Darcy parameter and is found to increase the temperature. The velocity increases with the increase the Casson fluid parameter and is found to decrease the temperature. The Skin-friction coefficient and the local Nusselt number are found to decrease with the increase in velocity and thermal slip parameters respectively
Highlights
Non-Newtonian transport phenomena arise in many branches of chemical and materials processing engineering
The objective of the present paper is to investigate the steady boundary-layer flow and heat transfer of Casson fluid past a horizontal cylinder in a non-Darcy porous medium
We show the finite-difference approximation of equations. (13)
Summary
Non-Newtonian transport phenomena arise in many branches of chemical and materials processing engineering. Such fluids exhibit shear-stress-strain relationships which diverge significantly from the Newtonian (Navier-Stokes) model. Most non-Newtonian models involve some form of modification to the momentum conservation equations. These include power-law, thixotropic and viscoelastic fluids [1]. Such rheological models cannot simulate the micro. Received March 21, 2013; Accepted May 08, 2013; Published May 17, 2013 J Appl Computat Math 2: 127. doi:10.4172/21689679.1000127
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