4:10 PM - 4:25 PM
[S02E-04] Computations of Viscoelastic Fluids Based on Finite Volume Method in Collocated Grid System
Keywords:viscoelastic fluid, finite volume method, collocated grid, Giesekus model
A computational method using the finite volume method in the collocated grid system was developed to
compute viscoelastic fluids. The Giesekus model, which is a differential nonlinear viscoelastic model, was
used as the constitutive equation. The proposed method was applied to the flow of Newtonian and viscoelastic
fluids between parallel plates. As a result, it was confirmed that calculated velocity distributions in steady-state
are in good agreement with analytical solutions. Furthermore, The viscoelastic fluid was calculated in
the abrupt contraction. It was demonstrated that the proposed method enables us to reasonably predict a
lip vortex near the abruptly contracting section, which is characteristic of viscoelastic fluids. The lip vortex
depends on Reynolds and Weisenberg numbers as well as the mobility parameter α.
compute viscoelastic fluids. The Giesekus model, which is a differential nonlinear viscoelastic model, was
used as the constitutive equation. The proposed method was applied to the flow of Newtonian and viscoelastic
fluids between parallel plates. As a result, it was confirmed that calculated velocity distributions in steady-state
are in good agreement with analytical solutions. Furthermore, The viscoelastic fluid was calculated in
the abrupt contraction. It was demonstrated that the proposed method enables us to reasonably predict a
lip vortex near the abruptly contracting section, which is characteristic of viscoelastic fluids. The lip vortex
depends on Reynolds and Weisenberg numbers as well as the mobility parameter α.