Three-Dimensional Simulation of Entrance Region effect for Viscoelastic flows in a Rectangular Duct

In this paper, numerical 3D simulation of viscoelastic developing flow in a rectangular duct with the nonlinear constitutive equation was considered. So far, researchers have focused on the fully developed zone. In these cases, the effects of entrance region of flow and changes in important quantities of developing flow were neglected. Therefore three-dimensional modeling of the entrance region is an innovation of this work. For modeling the stress term,PTT constitutive equation which is one of the most perfect models was used. It should be noted that, the Oldroyd conditions was ingratiated and secondary flow has been simulated. Considering three-dimensionality of the solution domain as well as the dependency and nonlinearity of equations, artificial compressibility explicit method and staggered grid for solving the equations is purposed. The result is in good agreement with the others reported in the fully developed region.