Yue Mu, Guoqun Zhao, Anbiao Chen and Xianghong Wu Modeling and simulation of three-dimensional extrusion swelling of viscoelastic fluids with PTT, Giesekus and FENE-P constitutive models International Journal for Numerical Methods in Fluids 72
The mathematical model of three-dimensional extrusion swelling of viscoelastic fluids is established with the Phan-Thien Tanner, the Giesekus, and the finite extensible nonlinear elastic dumbbell with a Peterlin closure approximation constitutive models. The nonlinear governing equations are solved by using penalty finite element method with decoupled algorithm. The calculation stability is improved by employing discrete elastic-viscous split stress formulation in cooperation with the streamline-upwind scheme. The proposed numerical methods can successfully predict and explain swelling mechanism of viscoelastic fluids.
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