A Blasius boundary layer study for generalized viscosity model with thermo-physical properties and Falkner-Skan approach

Abstract

In this article, we consider the boundary layer two-dimensional Carreau fluid flow induced by a heated inclined flat plate. The flow having variational viscosity of Carreau fluid is considered. The dependence of thermo-physical properties on temperature and concentration is also discussed. Using the Falkner-Skan solution, the governing equations are converted into a system of ordinary differential equations, which have been solved by RK-five integration scheme along with a shooting method. Solutions are calculated for fluid with thermo-physical properties of shear-thinning (viscosity decreases with increasing shear-rate) and thickening (viscosity increases with increasing shear-rate) effects. Physical interpretation and discussion are presented regarding the base flow, temperature and concentration profiles. Boundary layer thickness engages inversely with pressure gradient m, whereas temperature profile shows a significant increase for higher values of ε1.

Keywords

• Non-Newtonian fluid
• Thermo-physical properties
• Falkner-Skan approach
• Shooting method