NUMERICAL SIMULATION OF TRANSIENT PLANAR FLOW OF A VISCQELASTIC MATERIAL WITH TWO MOVING FREE SURFACES

摘要

In this study, we examine the numerical simulation of transient viscoelastic flows with two moving free surfaces. A modified Galeikin finite element method is implemented to the two-dimensional non-steady motion of the fluid of the Oldroyd-B type. The fluid is initially placed between two parallel plates and bounded by two straight free boundaries. In this Lagrangian finite element method, the spatial mesh deforms in time along with the moving free boundaries. The unknown shape of the free surfaces is determined with the flow field u, v, t, p by the deformable finite element method, combined With a predictor-corrector scheme in an uncoupled fashion. The moving free surfaces and fluid motion of both Newtonian and non-Newtonian flows are investigated. The results include the influence of surface tension, fluid inertia and elasticity.