Capillary Rise ‐ Jurin's Height vs Spherical Cap

Gründing, Dirk; Fricke, Mathis; Bothe, Dieter

doi:10.1002/pamm.201900336

Cited by 3 publications

(3 citation statements)

References 4 publications

(6 reference statements)

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“…In comparison, the solution computed with interFoam oscillates with a slightly stronger amplitude as well as a shorter frequency. Comparing the numerical solutions with the classical no slip solution (13) and the extended version (14), it can be seen that all solutions exhibit qualitatively the same dynamic behaviour in this case with a larger slip length. The classical no-slip solution shows a less and the extended solution a more dynamic behavior then the full continuum solutions.…”

Section: Convergence Study and Varying Slip Lengthmentioning

confidence: 84%

“…Boundary conditions at the inflow and outflow boundaries: In addition to the boundary conditions at the physical boundaries, boundary conditions at the artificial inflow and outflow boundaries have to be specified. In the present study we consider the boundary conditions (see [14] for a discussion of the pressure boundary condition)…”

Section: Boundary Condition At the Contact Linementioning

confidence: 99%

“…The various limits for Ω correspond the special cases for which analytic solutions are available. An analog non-dimensionalization has been performed for the model (14).…”

Section: Scaling Of the Approximate Modelmentioning

confidence: 99%

See 2 more Smart Citations

Capillary Rise -- A Computational Benchmark for Wetting Processes

Gründing,

Smuda,

Antritter

et al. 2019

Preprint

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Four different numerical approaches are compared for the rise of liquid between two parallel plates.These are an Arbitrary Lagrangian-Eulerian method (OpenFOAM solver interTrackFoam), a geometric volume of fluid code (FS3D), an algebraic volume of fluid method (OpenFOAM solver interFoam), and a level set approach (BoSSS). The first three approaches discretize the bulk equation using a finite volume method while the last one employs an extended discontinuous Galerkin discretization. The results are compared to ODE models which are the classical rise model and an extended model that incorporates a Navier slip boundary condition on the capillary walls and levels at a corrected stationary rise height.All physical parameters are based on common requirements for the initial conditions, short simulation time, and a non-dimensional parameter study. The comparison shows excellent agreement between the different implementations with minor quantitative deviations for the adapted interFoam implementation.While the qualitative agreement between the full solutions of the continuum mechanical approach and the reference model is good, the quantitative comparison is only reasonable, especially for cases with increasing oscillations. Furthermore, reducing the slip length changes the solution qualitatively as oscillations are completely damped in contrast to the solution of the ODE models. To provide reference data for a full continuum simulation of the capillary rise problem, all results are made available online.

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Section: Convergence Study and Varying Slip Lengthmentioning

confidence: 84%

Section: Boundary Condition At the Contact Linementioning

confidence: 99%