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arXiv · 2204.04320

Numerical Simulations of Nearly Incompressible Viscoelastic Membranes

Valeria Barra·Shawn A. Chester·Shahriar Afkhami
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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.

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Valeria Barra, Shawn A. Chester, Shahriar Afkhami. 2022-04-08. Numerical Simulations of Nearly Incompressible Viscoelastic Membranes. https://doi.org/10.1016/j.compfluid.2018.07.023

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