Numerical simulations of nearly incompressible viscoelastic membranes

Document Type

Article

Publication Date

10-15-2018

Abstract

This work presents a novel numerical investigation of the dynamics of free-boundary flows of viscoelastic liquid membranes. The governing equation describes the balance of linear momentum, in which the stresses include the viscoelastic response to deformations of Maxwell type. A penalty method is utilized to enforce near incompressibility of the viscoelastic media, in which the penalty constant is proportional to the viscosity of the fluid. A finite element method is used, in which the slender geometry representing the liquid membrane, is discretized by linear three-node triangular elements under plane stress conditions. Two applications of interest are considered for the numerical framework provided: shear flow, and extensional flow in drawing processes.

Identifier

85051398268 (Scopus)

Publication Title

Computers and Fluids

External Full Text Location

https://doi.org/10.1016/j.compfluid.2018.07.023

ISSN

00457930

First Page

36

Last Page

47

Volume

175

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