Studying the slip phenomenon for a viscous fluid flow in a curved channel

The pressure flow of a viscous incompressible fluid in a channel curved at the right angle is studied. We consider three models of the interaction between the fluid and solid wall that satisfy the following boundary conditions: no-slip, Navier slip, and slip with a limit stress. The problem is solved numerically using a finite-difference algorithm based on the SIMPLE scheme. The steady pattern flow with the formation of the circulation areas around corner points is demonstrated. It is characterized by one-dimensional flow regions near inlet and outlet boundaries. Parametric studies of the influence of interaction models and main parameters on the flow pattern are performed. In particular, tangent velocity profiles at the solid wall as functions of the slip length, circulation areas' sizes, and limit stress are constructed.