Viscoelastic Mobility Problem Using A Boundary Element Method
Name
HPCES029.PDF
Size
2.49 MB
Format
Adobe PDF
Checksum (MD5)
36f66a0ee199d773f26e7d705d68eeb0
Author(s)
Nhan, Phan-Thien
Fan, Xi-Jun
Date Issued
January 2002
Series/Report no.
High Performance Computation for Engineered Systems (HPCES);
Abstract
In this paper, the complete double layer boundary integral equation formulation for Stokes flows is extended to viscoelastic fluids to solve the mobility problem for a system of particles, where the non-linearity is handled by particular solutions of the Stokes inhomogeneous equation. Some techniques of the meshless method are employed and a point-wise solver is used to solve the viscoelastic constitutive equation. Hence volume meshing is avoided. The method is tested against the numerical solution for a sphere settling in the Odroyd-B fluid and some results on a prolate motion in shear flow of the Oldroyd-B fluid are reported and compared with some theoretical and experimental results.
Subjects
double layer boundary integral equation
Stokes flows
viscoelastic fluids
viscoelastic mobility problem
viscoelastic constitutive equation
Stokes inhomogeneous equation
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