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A phase‐field based model for coupling two‐phase flow with the motion of immersed rigid bodies

Martin Reder, Paul W. Hoffrogge, Daniel Schneider, Britta Nestler

2022International Journal for Numerical Methods in Engineering15 citationsDOIOpen Access PDF

Abstract

Abstract The interaction of immersed rigid bodies with two‐phase flow is of high interest in many applications. A model for the coupling of a Hohenberg–Halperin type model for two‐phase flow and a fictitious domain method for consideration of rigid bodies is introduced leading to a full multiphase‐field method to address the overall problem. A normalized phase variable is used alongside a method for application of wetting boundary conditions over a diffuse fluid‐solid interface. This enables the representation of capillary effects and different wetting behavior based on Young's law. A number of simulations is conducted in order to validate the model and highlight its ability to handle a variety of setups for two‐phase particulate flow. This includes dynamic wetting situations, the motion of multiple particles within the two‐phase flow and the interaction with arbitrarily shaped solid structures inside the domain.

Topics & Concepts

WettingMechanicsPhase (matter)Flow (mathematics)Two-phase flowCoupling (piping)Multiphase flowField (mathematics)Boundary value problemRepresentation (politics)PhysicsMaterials scienceEngineeringMathematicsMathematical analysisMechanical engineeringThermodynamicsPolitical sciencePoliticsLawQuantum mechanicsPure mathematicsLattice Boltzmann Simulation StudiesBlock Copolymer Self-AssemblyFluid Dynamics and Thin Films
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