Secondary Flows of Simplified Phan-Thien Tanner (SPTT) Non-Linear Viscoelastic Fluid Between Parallel Rotating Disks

摘要

The steady state laminar flow of non-linear viscoelastic fluid with Simplified Phan-Thien Tanner (SPTT) model between coaxial rotating disks is studied analytically. With linearized stress coefficient in the constitutive equation (SPTT), primary flow and weak secondary flow have been investigated by perturbation techniques while the aspect ratio is very small. Axial and radial velocity profiles arising from secondary flow are completely analyzed for various boundary conditions and properties of the viscoelastic fluid. The results indicate the strong effects of the elasticity and boundary conditions on velocity profiles. The inertial secondary flow consists of a single vortex for co-rotating disks and two vortices for counter-rotating disks which is well represented by the approximate analytical solution.