High Accuracy Numerical Simulation of Non-Isothermal Viscoelastic Polymer Fluid Past a Cylinder

Abstract

The collocated grid finite volume CLEAR (coupled and linked equations algorithm revised) method is applied to solve the governing equations of viscous and XPP (eXtended Pom-Pom) viscoelastic fluids. The high accuracy AVLSMART schemes for the convection terms of momentum and constitutive equations are constructed based on the deferred correction method. Firstly, the incompressible viscous fluids past a cylinder at different Reynolds are simulated to verify the validity of the developed numerical method. Then, the isothermal and non-isothermal XPP viscoelastic fluid past a cylinder is studied numerically, giving the distribution patterns of velocity vectors, stress components, stretch and temperature. Especially, the effects of Weissenberg on the horizontal velocity, normal stresses and stretch are analyzed. The results obtained in this research will provide the theoretical foundation for accurately predicting fiber reinforced viscoelastic polymer dynamic filling process in complex cavities.