Publication 00-CNA-026

An Eulerian Description of Fluids Containing Visco-Hyperelastic Particles

Chun Liu
Department of Mathematics
Pennsylvania State University
State College, PA 16802
liu@math.psu.edu

Noel J. Walkington
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213
noelw@andrew.cmu.edu

Abstract: Equations governing the flow of fluid containing visco-hyperelastic particles are developed in an Eulerian framework. The novel feature introduced here is to write an evolution equation for the strain. It is envisioned that this will simplify numerical codes which typically compute the strain on Lagrangian meshes moving through Eulerian meshes. Existence results for the flow of linear visco-hyperelastic particles in a Newtonian fluid are established using a Galerkin scheme.

Get the paper in its entirety as  00-CNA-026.pdf

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