### Abstract

We consider a computational model for complex-fluid-solid interaction (CSFI) based on a diffuse-interface model for the complex fluid and a hyperelastic-material model for the solid. The diffuse-interface complex-fluid model is described by the incompressible Navier-Stokes-Cahn-Hilliard (NSCH) equations with preferential-wetting boundary conditions at the fluid-solid interface. The corresponding fluid traction on the interface includes a capillary-stress contribution,and the dynamic interface condition comprises the traction exerted by the non-uniform fluid-solid surface tension. We present a weak formulation of the aggregated CSFI problem,based on an arbitrary-Lagrangian-Eulerian formulation of the NSCH equations and a proper reformulation of the complex-fluid traction and the fluid-solid surface tension. To validate the presented CSFI model,we present numerical results and conduct a comparison to experimental data for a droplet on a soft substrate.

Language | English |
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Title of host publication | Advances in Computational Fluid-Structure Interaction and Flow Simulation |

Subtitle of host publication | New Methods and Challenging Computations |

Editors | Y. Bazilevs, K. Takizawa |

Place of Publication | Berlin |

Publisher | Springer |

Pages | 451-462 |

Number of pages | 12 |

ISBN (Electronic) | 978-3-319-40827-9 |

ISBN (Print) | 978-3-319-40825-5 |

DOIs | |

State | Published - 2016 |

### Publication series

Name | Modeling and Simulation in Science, Engineering and Technology |
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ISSN (Print) | 2164-3679 |

### Fingerprint

### Cite this

*Advances in Computational Fluid-Structure Interaction and Flow Simulation: New Methods and Challenging Computations*(pp. 451-462). (Modeling and Simulation in Science, Engineering and Technology). Berlin: Springer. DOI: 10.1007/978-3-319-40827-9_35

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*Advances in Computational Fluid-Structure Interaction and Flow Simulation: New Methods and Challenging Computations.*Modeling and Simulation in Science, Engineering and Technology, Springer, Berlin, pp. 451-462. DOI: 10.1007/978-3-319-40827-9_35

**Elasto-capillarity simulations based on the Navier-Stokes-Cahn-Hilliard equations.** / Van Brummelen, E. H.; Shokrpour-Roudbari, M.; Van Zwieten, G. J.

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic › peer-review

TY - CHAP

T1 - Elasto-capillarity simulations based on the Navier-Stokes-Cahn-Hilliard equations

AU - Van Brummelen,E. H.

AU - Shokrpour-Roudbari,M.

AU - Van Zwieten,G. J.

PY - 2016

Y1 - 2016

N2 - We consider a computational model for complex-fluid-solid interaction (CSFI) based on a diffuse-interface model for the complex fluid and a hyperelastic-material model for the solid. The diffuse-interface complex-fluid model is described by the incompressible Navier-Stokes-Cahn-Hilliard (NSCH) equations with preferential-wetting boundary conditions at the fluid-solid interface. The corresponding fluid traction on the interface includes a capillary-stress contribution,and the dynamic interface condition comprises the traction exerted by the non-uniform fluid-solid surface tension. We present a weak formulation of the aggregated CSFI problem,based on an arbitrary-Lagrangian-Eulerian formulation of the NSCH equations and a proper reformulation of the complex-fluid traction and the fluid-solid surface tension. To validate the presented CSFI model,we present numerical results and conduct a comparison to experimental data for a droplet on a soft substrate.

AB - We consider a computational model for complex-fluid-solid interaction (CSFI) based on a diffuse-interface model for the complex fluid and a hyperelastic-material model for the solid. The diffuse-interface complex-fluid model is described by the incompressible Navier-Stokes-Cahn-Hilliard (NSCH) equations with preferential-wetting boundary conditions at the fluid-solid interface. The corresponding fluid traction on the interface includes a capillary-stress contribution,and the dynamic interface condition comprises the traction exerted by the non-uniform fluid-solid surface tension. We present a weak formulation of the aggregated CSFI problem,based on an arbitrary-Lagrangian-Eulerian formulation of the NSCH equations and a proper reformulation of the complex-fluid traction and the fluid-solid surface tension. To validate the presented CSFI model,we present numerical results and conduct a comparison to experimental data for a droplet on a soft substrate.

UR - http://www.scopus.com/inward/record.url?scp=84992363364&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-40827-9_35

DO - 10.1007/978-3-319-40827-9_35

M3 - Chapter

SN - 978-3-319-40825-5

T3 - Modeling and Simulation in Science, Engineering and Technology

SP - 451

EP - 462

BT - Advances in Computational Fluid-Structure Interaction and Flow Simulation

PB - Springer

CY - Berlin

ER -