Power-Law Fluid Flow in a T-Shaped Channel Under the Action of Assigned Pressure Drop

Abstract

Plane non-Newtonian incompressible fluid flow in a T-shaped channel is considered. The effective viscosity is determined according to the Ostwald–de Waele law. The fluid moves under the action of the given pressure drop in the boundary sections of the channel. The no-slip condition is fulfilled on the solid walls. The problem is solved numerically by the control volume method with the use of the SIMPLE procedure. As a result of the investigation carried out, the characteristic flow regimes have been revealed. The influence of the basic parameters of the problem on the flow pattern has been demonstrated, and the dimensionless relations of flow characteristics have been constructed.