A Linearization for Secondary Flow Simulation of Viscoelastic Fluid.

Abstract

For a translational symmetric case, the change rate of an elastic stress is approximated by the spin term alone. The contribution of the derived elastic stress to the momentum equation is decoupled from a velocity component in each coordinate. Then, the body force caused by the elastic stress is approximated by a linear source term within an iteration loop. The following cases are demonstrated : (1) a square duct, (2) a lid driven swirl flow in a cylinder, (3) a free surface movement of coaxial rotating cylinders.