Elasto-capillarity Simulations based on the Navier-Stokes-Cahn-Hilliard Equations
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.
Keywords
Cite
@article{arxiv.1510.02441,
title = {Elasto-capillarity Simulations based on the Navier-Stokes-Cahn-Hilliard Equations},
author = {E. H. van Brummelen and M. Shokrpour-Roudbari and G. J. van Zwieten},
journal= {arXiv preprint arXiv:1510.02441},
year = {2015}
}