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Gradient Structures for Flows of Concentrated Suspensions

  • 2019
  • OriginalPaper
  • Chapter
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Abstract

In this work we investigate a two-phase model for concentrated suspensions. We construct a PDE formulation using a gradient flow structure featuring dissipative coupling between fluid and solid phase as well as different driving forces. Our construction is based on the concept of flow maps that also allows it to account for flows in moving domains with free boundaries. The major difference compared to similar existing approaches is the incorporation of a non-smooth two-homogeneous term to the dissipation potential, which creates a normal pressure even for pure shear flows.

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Title
Gradient Structures for Flows of Concentrated Suspensions
Authors
Dirk Peschka
Marita Thomas
Tobias Ahnert
Andreas Münch
Barbara Wagner
Copyright Year
2019
DOI
https://doi.org/10.1007/978-3-030-33116-0_12

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