Heat Transfer in a Casson Rheological Fluid from a Semi-infinite Vertical Plate with Partial Slip

Abstract

The laminar boundary layer flow and heat transfer of Casson non-Newtonian fluid from a semi-infinite vertical plate in the presence of thermal and hydrodynamic slip conditions is analyzed. The plate surface is maintained at a constant temperature. Increasing velocity slip induces acceleration in the flow near the plate surface and the reverse effect further from the surface. Increasing velocity slip consistently enhances temperatures throughout the boundary layer regime. An increase in thermal slip parameter strongly decelerates the flow and also reduces temperatures in the boundary layer regime. An increase in the Casson rheological parameter acts to elevate considerably the skin friction (non-dimensional wall shear stress) and this effect is pronounced at higher values of tangential coordinate. Temperatures, however, are very slightly decreased with increasing values of Casson rheological parameter. IntroductionPohlhausen [1] first studied the free convection flow past a semi-infinite vertical plate by the momentum integral method because free convection flows have wide applications in industry. But the similarity solution to free convection flow past a semi-infinite vertical plate was first presented by Ostrach [2] who solved the non-linear coupled ordinary differential equations numerically on a computer. The fluid considered was air. Later on, many papers were published on this topic under different physical conditions and these are referenced in a book by Gebhart et al. [3]. The fluid considered in all these studies was either pure air or water. However, in nature, pure air or water is not easily available and hence the results already presented in Refs. 1 and 2 are not general in nature. As a simple example, atmospheric flows, at all scales, are driven appreciably by both temperature and H 2 O concentrated differences. In water, dissolved materials and suspended particulate matter are always present and hence the density is affected by both temperature and concentration. These are

Effects of thermophoresis, variable viscosity and thermal conductivity on free convective heat and mass transfer of non-darcian MHD dissipative Casson fluid flow with suction and <mml:math altimg="si330.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org

“…2, it is observed that in a case of constant viscosity and thermal conductivity i.e. ξ = ε = 0, the velocity profiles and momentum boundary layer thickness decreases which is in best agreement with the result of Rao et al [21], Hayat et al [23] and Mukhopadhyay [33] (see Table 2). In the case of temperature dependent variable viscosity and thermal conductivity parameter i.e.…”

“…Bird et al [4] investigated the rheology and flow of visco-plastic materials and reported that Casson model constitutes a plastic fluid model which exhibits shear thinning characteristics, yield stress, and high shear viscosity. Rao et al [21] reported that the Casson fluid model is reduced to a Newtonian fluid at a very high wall shear stress, i.e. when the wall stress is much greater than yield stress.…”

Modified kinematic viscosity model for 3D-Casson fluid flow within boundary layer formed on a surface at absolute zero

“…Rao et al [16] reported that the Casson fluid model is reduced to a Newtonian fluid at a very high wall shear stress, i.e. when the wall stress is much greater than yield stress.…”

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

“…This method, originally developed for low speed aerodynamic boundary layers by Keller [29], and has been employed in a diverse range of coupled heat transfer problems. These include Ramachandra Prasad et al [30], Rao et al [31] and Beg et al [32]. (8)- (9) subject to the boundary conditions (10) are first written as a system of first-order equations.…”