Computing transient flows with high elasticity
نویسنده
چکیده
Although much progress has been made in the computation of Eulerian steady flows with high viscoelasticity, less work has been done for the case of transient flows. Because of their importance in injection moulding, blow moulding and other forming processes, as well as their intrinsic interest, we believe more attention should be focussed in this area. Hence in this paper we review progress in unsteady flow computations with high elasticity, and show some new results in this area.
منابع مشابه
Transient growth without inertia
We study transient growth in inertialess plane Couette and Poiseuille flows of viscoelastic fluids. For streamwise-constant three-dimensional fluctuations, we demonstrate analytically the existence of initial conditions that lead to quadratic scaling of both the kinetic energy density and the elastic energy with the Weissenberg number, We. This shows that in strongly elastic channel flows of vi...
متن کاملDynamics of particle migration in channel flow of viscoelastic fluids
The migration of a sphere in the pressure-driven channel flow of a viscoelastic fluid is studied numerically. The effects of inertia, elasticity, shear-thinning viscosity, secondary flows and the blockage ratio are considered by conducting fully resolved direct numerical simulations over a wide range of parameters. In a Newtonian fluid in the presence of inertial effects, the particle moves awa...
متن کاملTowards a self-consistent plate mantle model that includes elasticity: simple benchmarks and application to basic modes of convection
S U M M A R Y One of the difficulties with self-consistent plate-mantle models capturing multiple physical features, such as elasticity, non-Newtonian flow properties and temperature dependence, is that the individual behaviours cannot be considered in isolation. For instance, if a viscous mantle convection model is generalized naively to include hypo-elasticity, then problems based on Earth-li...
متن کاملStart-up times in viscoelastic channel and pipe flows
Start-up times in viscoelastic channel and pipe flows generated by the sudden imposition of a pressure gradient are here determined by a mixed analytical/numerical procedure. The rheological models considered are the upper convected Maxwell and the Oldroyd-B equations. With these models the flow evolves asymptotically to the steady state solution after a transient regime presenting strong oscil...
متن کاملPseudo-transient Continuation for Nonlinear Transient Elasticity
We show how the method of pseudo-transient continuation can be applied to improve the robustness of the Newton iteration within a nonlinear transient elasticity simulation. Pseudotransient continuation improves efficiency and robustness of the transient analysis by enabling larger time steps than possible with a Newton iteration. We illustrate the algorithm by reporting on a simulation of a buc...
متن کامل