Casson fluid flow and heat transfer over a nonlinearly stretching surface

Abstract

A boundary layer analysis is presented for non-Newtonian fluid flow and heat transfer over a nonlinearly stretching surface. The Casson fluid model is used to characterize the non-Newtonian fluid behavior. By using suitable transformations, the governing partial differential equations corresponding to the momentum and energy equations are converted into non-linear ordinary differential equations. Numerical solutions of these equations are obtained with the shooting method. The effect of increasing Casson parameter is to suppress the velocity field. However the temperature is enhanced with the increasing Casson parameter.

Nonlinear Radiative Heat Transfer to Carreau Fluid Over a Nonlinear Stretching Sheet in a Porous Medium in the Presence of Non-Uniform Heat Source/Sink and Viscous Dissipation

“…Bataller (2008) obtained the similarity solutions for flow and heat transfer over a nonlinearly stretching sheet by considering both uniform and variable surface temperatures. Mukhopadhyay (2013) presented the boundary layer flow and heat transfer of non-Newtonian fluid over a nonlinear stretching sheet. Nandeppanavar et al (2011) investigated the viscoelastic boundary layer flow and heat transfer over an exponentially stretching continuous sheet in the presence of a heat source/sink.…”

MHD boundary layer slip flow of a casson fluid over an exponentially stretching surface in the presence of thermal radiation and chemical reaction

“…B is a constant. Assume that the rheological equation of state for an isotropic and incompressible flow of a Casson fluid is as follows: (Mukhopadhyay, 2013 andMukhopadhyay et al, 2013)  is the critical value of this product based on the non-Newtonian model. Under these assumptions, the governing boundary layer along with the Boussinesq approximation, the continuity, momentum, energy and concentration species can be written as…”

“…Bhattacharya et al (2014) studied the boundary layer flow of Casson fluid over a stretching/shrinking sheet. Numerical solutions for the steady boundary layer Cason fluid flow and heat transfer passing a nonlinearly stretching surface was studied by Mukhopadhyay (2013). Recently, the numerical solutions for steady boundary layer flow and heat transfer for a Casson fluid over an exponentially permeable stretching surface in the presence of thermal radiation are analyzed by Pramanik (2014).…”

Effects of Heat Source/Sink and Chemical Reaction on MHD Maxwell Nanofluid Flow Over a Convectively Heated Exponentially Stretching Sheet Using Homotopy Analysis Method

“…The boundary layer flows of non-Newtonian fluids driven by stretching surfaces have attracted much research interest [1][2][3][4] during the last few years due to several important engineering and industrial applications such as electronic chips, glass-fiber and paper production, food processing, etc. Single constitutive equation exhibiting all the properties of non-Newtonian fluids is not available due to the diversity of these fluids in their constitutive behavior, simultaneous viscous and elastic properties.…”