Article ID Journal Published Year Pages File Type
671667 Journal of Non-Newtonian Fluid Mechanics 2006 10 Pages PDF
Abstract

A new numerical method specially adapted to the free-surface flow of viscoelastic material is proposed. It is based on a Lagrangian discretisation of the material and objective derivatives, which accounts well for the hyperbolic nature of these terms and goes well with a Lagrangian tracking of a time-evolving domain. Through the Arbitrary Lagrangian–Eulerian (ALE) formulation, the method can also be applied efficiently to solid-boundary problems, and is tested on the benchmark problem of the drag on a cylinder in a channel. The collapse of a column of Oldroyd-B fluid is then considered: under the action of surface tension, the column undergoes large deformation leading to the “beads-on-string” structure. Asymptotic results on the evolution of this structure are recovered in numerical simulations, and further features of this flow are exhibited.

Related Topics
Physical Sciences and Engineering Chemical Engineering Fluid Flow and Transfer Processes
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