Phase field modelling of non-equilibrium patterns on the surface of a liquid film under lateral oscillations at the substrate

  • We use a phase field model which couples the generalized Navier–Stokes equation (including the Korteweg stress tensor) with the continuity equation for studying nonlinear pattern formation on the surface of a liquid film under (linear and circular) lateral harmonic vibrations at the solid substrate. First, we prove the thermodynamic consistency of our phase field model. Next, we present computer simulations in three spatial dimensions. We illustrate nonequilibrium patterns at the instability onset, confirming in this way the results recently reported in Phys. Rev. E 88, 023025 (2013). The lateral profiles of the deflected surface are compared with those reported in J. Fluid Mech. 686, 409 (2011) for Faraday instability excited by vertical harmonic vibrations at the bottom plate.

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Metadaten
Author: Rodica Borcia, Michael BestehornGND
URL:http://www.worldscientific.com/doi/abs/10.1142/S0218127414501107
DOI:https://doi.org/10.1142/S0218127414501107
ISSN:0218-1274
ISSN:1793-6551
Title of the source (English):International Journal of Bifurcation and Chaos
Document Type:Scientific journal article peer-reviewed
Language:English
Year of publication:2014
Volume/Year:24
Issue number:9
First Page:1450110
Faculty/Chair:Fakultät 1 MINT - Mathematik, Informatik, Physik, Elektro- und Informationstechnik / FG Statistische Physik und Nichtlineare Dynamik
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