An Eulerian description of fluids containing viscoelastic particles. (English) Zbl 1009.76093

Summary: Equations governing the flow of fluid containing visco-hyperelastic particles are developed in 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.


76T20 Suspensions
74D99 Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials)
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