1. Elasto-capillarity simulations based on the Navier-Stokes-Cahn-Hilliard equations
- Author
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Van Brummelen, E. H., Shokrpour-Roudbari, M., Van Zwieten, G. J., Bazilevs, Y., Takizawa, K., and Energy Technology
- Subjects
Physics ,Traction (engineering) ,Mechanics ,Weak formulation ,01 natural sciences ,010305 fluids & plasmas ,010101 applied mathematics ,Surface tension ,Physics::Fluid Dynamics ,0103 physical sciences ,Compressibility ,Navier stokes ,Boundary value problem ,Statistical physics ,0101 mathematics ,Elasto-capillarity ,Complex fluid - 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.
- Published
- 2016