Computing stationary free-surface shapes in microfluidics

Details Computing stationary free-surface shapes in microfluidics Computing stationary free-surface shapes in microfluidics

2005-11-25

arxiv.org/abs/physics/0511217v3

Physics of Fluids 18, 103303 (2006)

Physics

Fluid Dynamics

Revised version

Scientific paper

10.1063/1.2361291

A finite-element algorithm for computing free-surface flows driven by arbitrary body forces is presented. The algorithm is primarily designed for the microfluidic parameter range where (i) the Reynolds number is small and (ii) force-driven pressure and flow fields compete with the surface tension for the shape of a stationary free surface. The free surface shape is represented by the boundaries of finite elements that move according to the stress applied by the adjacent fluid. Additionally, the surface tends to minimize its free energy and by that adapts its curvature to balance the normal stress at the surface. The numerical approach consists of the iteration of two alternating steps: The solution of a fluidic problem in a prescribed domain with slip boundary conditions at the free surface and a consecutive update of the domain driven by the previously determined pressure and velocity fields. ...

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