Numerical simulations of nearly incompressible viscoelastic membranes

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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.

Original languageEnglish (US)
Pages (from-to)36-47
Number of pages12
JournalComputers and Fluids
StatePublished - Oct 15 2018

All Science Journal Classification (ASJC) codes

  • General Computer Science
  • General Engineering


  • Finite elements
  • Membranes
  • Viscoelastic fluids


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