VISCOELASTIC ROTATING FLOW WITH VISCOUS DISSIPATION

摘要

The rotational flow of pseudoplastic fluids between concentric cylinders is examined while dissipation due to viscous effects is taken into account. The viscosity of fluid is dependent on shear rate only. The shear rate dependence of viscosity is modeled according to the Carreau equation. Hydrodynamically, stick boundary conditions are applied and thermally, both constant temperature and constant heat flux on the exterior of cylinders are considered. The governing motion and energy balance equations are coupled adding complexity to the already highly correlated set of differential equations. Introduction of Brinkman number has maintained a nonlinear base flow between the cylinders. As well, the condition of constant heat flux has moved the point of maximum temperature towards the inner cylinder. In the presence of viscous heating, the effect of parameters such as Deborah and Brinkman numbers, material time and pseudoplasticity constant is presented. The flow parameters along with viscosity maps are given for different scenarios of the flow.