A new finifte element technique for the numerical simulation of 3D time-dependent flow of viscoelastic fluid is presented. The technique is based on a Lagrangian kinematics description of the fluid flow. It represent a further development of the 3D Lagrangian integral method (3D-LIM) from an upper convected Maxwell fluid to a fluid described by an integral constitutive equation of the Rivlin-Sawyers type. This includes the K-BKZ model. The convergence of the method is demonstrated on the axisymmetric problem of the inflation of a polymeric membrane only restricted by a clamping ring.
|Journal||Journal of Non-Newtonian Fluid Mechanics|
|Publication status||Published - 2000|