Viscoelastic Flow due to a Rotating Disc Enclosed in a Cylindrical Casing. High Viscous Silicone Oil.

Abstract

Viscoelastic properties (first normal stress difference and shear viscosity) of high viscous silicone oil (0.01, 0.03 and 0.06 m2/s) were measured with a rhometer. Numerical simulation by a finite difference method have been made for viscoelastic flow due to a rotating disc enclosed in a cylindrical casing. The Giesekus model and Phan Thien-Tanner model which were viscoelastic models and power-law model which was non-viscoelastic model were applied as the constitutive equations. The profiles of velocity component V0 and radial velocity component Vr obtained by the numerical simulation with Giesekus model and PTT model were in agreement with those measured using particle tracking velocimetry (PTV). The profile of Vr obtained by the numerical simulation with power-law model was not in agreement with those measured by PTV. The moment coefficient Cm and the axial thrust coefficient Ct were obtained for small H/R by the numerical simulation with Giesekus model.