Interface-dominated sliding compound drops

Fuente: arXiv
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Autores principales: Thy, Dominik, Diekmann, Jan, Thiele, Uwe
Formato: Preprint
Publicado: 2026
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author Thy, Dominik
Diekmann, Jan
Thiele, Uwe
author_facet Thy, Dominik
Diekmann, Jan
Thiele, Uwe
contents We investigate compound drops composed of two immiscible nonvolatile partially wetting liquids that slide down an inclined homogeneous smooth solid substrate based on a mesoscopic hydrodynamic two-layer model in full-curvature formulation. First, drops of one liquid stationarily sliding on a layer of the other liquid are briefly investigated with a focus on the dependence of drop velocity and interface profiles on inclination and mean thickness of the adaptive substrate. Then, stationary sliding compound drops are studied with a focus on the dependence of their configuration, velocity, dynamic Young and Neumann angles on three control parameters, namely, the inclination, the volume ratio and the viscosity ratio. The reasons for the encountered dependence of the velocity on configuration are clarified based on a discussion of the lateral dissipation profile. Finally, we briefly consider the time-periodic fusion-overtaking-splitting behavior found outside the existence range of the stationary sliding compound drops as determined by saddle-node bifurcations.
format Preprint
id arxiv_https___arxiv_org_abs_2603_26601
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Interface-dominated sliding compound drops
Thy, Dominik
Diekmann, Jan
Thiele, Uwe
Fluid Dynamics
We investigate compound drops composed of two immiscible nonvolatile partially wetting liquids that slide down an inclined homogeneous smooth solid substrate based on a mesoscopic hydrodynamic two-layer model in full-curvature formulation. First, drops of one liquid stationarily sliding on a layer of the other liquid are briefly investigated with a focus on the dependence of drop velocity and interface profiles on inclination and mean thickness of the adaptive substrate. Then, stationary sliding compound drops are studied with a focus on the dependence of their configuration, velocity, dynamic Young and Neumann angles on three control parameters, namely, the inclination, the volume ratio and the viscosity ratio. The reasons for the encountered dependence of the velocity on configuration are clarified based on a discussion of the lateral dissipation profile. Finally, we briefly consider the time-periodic fusion-overtaking-splitting behavior found outside the existence range of the stationary sliding compound drops as determined by saddle-node bifurcations.
title Interface-dominated sliding compound drops
topic Fluid Dynamics
url https://arxiv.org/abs/2603.26601