Abstract
| Language | English |
|---|---|
| Title of host publication | Fluid-structure interaction |
| Subtitle of host publication | modeling, adaptive discretizations and solvers |
| Editors | Stefan Frei, Bärbel Holm, Thomas Richter, Thomas Wick, Huidong Yang |
| Publisher | Walter de Gruyter GmbH |
| Chapter | 8 |
| Pages | 283-323 |
| Number of pages | 41 |
| ISBN (Electronic) | 978-3-11-049258-3, 978-3-11-049425-9 |
| ISBN (Print) | 978-3-11-049527-0 |
| DOIs | |
| State | Published - 2017 |
Publication series
| Name | Radon Series on Computational and Applied Mathematics |
|---|---|
| Publisher | De Gruyter |
| Volume | 20 |
| ISSN (Print) | 1865-3707 |
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Binary-fluid–solid interaction based on the Navier–Stokes–Cahn–Hilliard Equations. / van Brummelen, E.H.; Shokrpour Roudbari, M.; Simsek - Senel, G.; van der Zee, K.G.
Fluid-structure interaction: modeling, adaptive discretizations and solvers. ed. / Stefan Frei; Bärbel Holm; Thomas Richter; Thomas Wick; Huidong Yang. Walter de Gruyter GmbH, 2017. p. 283-323 (Radon Series on Computational and Applied Mathematics; Vol. 20).Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic › peer-review
TY - CHAP
T1 - Binary-fluid–solid interaction based on the Navier–Stokes–Cahn–Hilliard Equations
AU - van Brummelen,E.H.
AU - Shokrpour Roudbari,M.
AU - Simsek - Senel,G.
AU - van der Zee,K.G.
PY - 2017
Y1 - 2017
N2 - We consider amodel for binary-fluid-solid interaction based on a diffuse-interface model for the binary fluid and a hyperelastic-materialmodel for the solid. The diffuse-interface binary-fluidmodel is described by the quasi-incompressible Navier-Stokes-Cahn-Hilliard equations with preferential-wetting boundary conditions at the fluid-solid interface. The fluid traction on the interface includes a capillary-stress contribution in addition to the regular viscous-stress and pressure contributions. The dynamic interface condition comprises the traction exerted by the nonuniform solid-fluid surface tension in accordance with the Young-Laplace law for the solid-fluid interface. The solid is modeled as a hyperelastic material. We present a weak formulation of the aggregated binary-fluid-solid interaction problem, based on an arbitrary Lagrangian-Eulerian formulation of theNavier-Stokes-Cahn-Hilliard equations and a properweak evaluation of the binary-fluid traction and of the solid-fluid surface tension. We also present an analysis of the essential properties of the binary-fluid-solid interaction problem, including a dissipation relation for the complete fluid-solid interaction problem. To validate the presented binary-fluid-solid interactionmodel, we consider numerical simulations for the elasto-capillary interaction of a droplet with a soft solid substrate and present a comparison to corresponding experimental data.
AB - We consider amodel for binary-fluid-solid interaction based on a diffuse-interface model for the binary fluid and a hyperelastic-materialmodel for the solid. The diffuse-interface binary-fluidmodel is described by the quasi-incompressible Navier-Stokes-Cahn-Hilliard equations with preferential-wetting boundary conditions at the fluid-solid interface. The fluid traction on the interface includes a capillary-stress contribution in addition to the regular viscous-stress and pressure contributions. The dynamic interface condition comprises the traction exerted by the nonuniform solid-fluid surface tension in accordance with the Young-Laplace law for the solid-fluid interface. The solid is modeled as a hyperelastic material. We present a weak formulation of the aggregated binary-fluid-solid interaction problem, based on an arbitrary Lagrangian-Eulerian formulation of theNavier-Stokes-Cahn-Hilliard equations and a properweak evaluation of the binary-fluid traction and of the solid-fluid surface tension. We also present an analysis of the essential properties of the binary-fluid-solid interaction problem, including a dissipation relation for the complete fluid-solid interaction problem. To validate the presented binary-fluid-solid interactionmodel, we consider numerical simulations for the elasto-capillary interaction of a droplet with a soft solid substrate and present a comparison to corresponding experimental data.
U2 - 10.1515/9783110494259-008
DO - 10.1515/9783110494259-008
M3 - Chapter
SN - 978-3-11-049527-0
T3 - Radon Series on Computational and Applied Mathematics
SP - 283
EP - 323
BT - Fluid-structure interaction
PB - Walter de Gruyter GmbH
ER -