We consider a computational model for complex-fluid-solid interaction 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 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 complex-fluid-solid-interaction problem, based on
an Arbitrary-Lagrangian-Eulerian formulation of the Navier-Stokes-Cahn-Hilliard
equations and a proper reformulation of the complex-fluid traction and the
fluid-solid surface tension. To validate the presented
complex-fluid-solid-interaction model, we present numerical results and conduct
a comparison to experimental data for a droplet on a soft substrate.
%0 Generic
%1 vanBrummelen2015Elastocapillarity
%A van Brummelen, E. H.
%A Shokrpour-Roudbari, M.
%A van Zwieten, G. J.
%D 2015
%J arXiV > math.NA
%K 74f10-fluid-solid-interactions 74s05-finite-element-methods-for-solid-mechanics 76d05-incompressible-navier-stokes-equations 76d45-capillarity-in-viscous-fluids 76m10-finite-element-methods-in-fluid-mechanics 82c24-time-dependent-statistical-mechanics-of-interface-problems cahn-hilliard nutils
%N 02441
%T Elasto-capillarity Simulations based on the Navier-Stokes-Cahn-Hilliard Equations
%U http://arxiv.org/abs/1510.02441
%V 1510
%X We consider a computational model for complex-fluid-solid interaction 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 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 complex-fluid-solid-interaction problem, based on
an Arbitrary-Lagrangian-Eulerian formulation of the Navier-Stokes-Cahn-Hilliard
equations and a proper reformulation of the complex-fluid traction and the
fluid-solid surface tension. To validate the presented
complex-fluid-solid-interaction model, we present numerical results and conduct
a comparison to experimental data for a droplet on a soft substrate.
%7 1
@misc{vanBrummelen2015Elastocapillarity,
abstract = {{We consider a computational model for complex-fluid-solid interaction 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 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 complex-fluid-solid-interaction problem, based on
an Arbitrary-Lagrangian-Eulerian formulation of the Navier-Stokes-Cahn-Hilliard
equations and a proper reformulation of the complex-fluid traction and the
fluid-solid surface tension. To validate the presented
complex-fluid-solid-interaction model, we present numerical results and conduct
a comparison to experimental data for a droplet on a soft substrate.}},
added-at = {2019-03-01T00:11:50.000+0100},
archiveprefix = {arXiv},
author = {van Brummelen, E. H. and Shokrpour-Roudbari, M. and van Zwieten, G. J.},
biburl = {https://www.bibsonomy.org/bibtex/24c3f847b6827de6d73ebda549cb0f683/gdmcbain},
citeulike-article-id = {14615501},
citeulike-linkout-0 = {http://arxiv.org/abs/1510.02441},
citeulike-linkout-1 = {http://arxiv.org/pdf/1510.02441},
edition = 1,
eprint = {1510.02441},
interhash = {63a39a8b40d2933ef53f02d3ae0c1a20},
intrahash = {4c3f847b6827de6d73ebda549cb0f683},
journal = {arXiV > math.NA},
keywords = {74f10-fluid-solid-interactions 74s05-finite-element-methods-for-solid-mechanics 76d05-incompressible-navier-stokes-equations 76d45-capillarity-in-viscous-fluids 76m10-finite-element-methods-in-fluid-mechanics 82c24-time-dependent-statistical-mechanics-of-interface-problems cahn-hilliard nutils},
month = oct,
number = 02441,
posted-at = {2018-07-18 05:31:56},
priority = {5},
timestamp = {2019-03-01T00:11:50.000+0100},
title = {{Elasto-capillarity Simulations based on the Navier-Stokes-Cahn-Hilliard Equations}},
url = {http://arxiv.org/abs/1510.02441},
volume = 1510,
year = 2015
}