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.
| Original language | English |
|---|---|
| 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 | |
| Publication status | Published - 2016 |
Publication series
| Name | Modeling and Simulation in Science, Engineering and Technology |
|---|---|
| ISSN (Print) | 2164-3679 |
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Elasto-capillarity simulations based on the Navier-Stokes-Cahn-Hilliard equations. / Van Brummelen, E. H.; Shokrpour-Roudbari, M.; Van Zwieten, G. J.
Advances in Computational Fluid-Structure Interaction and Flow Simulation: New Methods and Challenging Computations. ed. / Y. Bazilevs; K. Takizawa. Berlin : Springer, 2016. p. 451-462 (Modeling and Simulation in Science, Engineering and Technology).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
AN - SCOPUS:84992363364
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
A2 - Bazilevs, Y.
A2 - Takizawa, K.
PB - Springer
CY - Berlin
ER -