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Gradient Structures for Flows of Concentrated Suspensions

  • Dirk PeschkaEmail author
  • Marita Thomas
  • Tobias Ahnert
  • Andreas Münch
  • Barbara Wagner
Conference paper
  • 280 Downloads
Part of the CIM Series in Mathematical Sciences book series (CIMSMS)

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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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Dirk Peschka
    • 1
    Email author
  • Marita Thomas
    • 1
  • Tobias Ahnert
    • 2
  • Andreas Münch
    • 3
  • Barbara Wagner
    • 1
  1. 1.Weierstrass Institute BerlinMohrenstr. 39, 10117 BerlinGermany
  2. 2.Deloitte ConsultingHohenzollerndamm 150-151, 14199 BerlinGermany
  3. 3.Mathematical Institute, University of Oxford, Andrew Wiles BuildingOxford OX2 6GGUK

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