On the depinning of a drop of partially wetting liquid on a rotating cylinder
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Publication:3097765
DOI10.1017/S0022112010005483zbMath1225.76043arXiv1010.2920OpenAlexW1966668354MaRDI QIDQ3097765
Publication date: 10 November 2011
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
Abstract: We discuss the analogy of the behaviour of films and drops of liquid on a rotating horizontal cylinder on the one hand and substrates with regular one-dimensional wettability patterns on the other hand. Based on the similarity between the respective governing long-wave equations we show that a drop of partially wetting liquid on a rotating cylinder undergoes a depinning transition when the rotation speed is increased. The transition occurs via a sniper bifurcation as in a recently described scenario for drops depinning on heterogeneous substrates.
Full work available at URL: https://arxiv.org/abs/1010.2920
Thin fluid films (76A20) Lubrication theory (76D08) General theory of rotating fluids (76U05) Interfacial stability and instability in hydrodynamic stability (76E17)
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Related Items (9)
On travelling wave solutions of a model of a liquid film flowing down a fibre ⋮ An investigation into the spreading of a thin liquid drop under gravity on a slowly rotating disk ⋮ Qualitative analysis of coating flows on a rotating horizontal cylinder ⋮ Dynamics of thin liquid films on vertical cylindrical fibres ⋮ Reduced-order modelling of thick inertial flows around rotating cylinders ⋮ Three-dimensional coating and rimming flow: a ring of fluid on a rotating horizontal cylinder ⋮ Stability of film flow over inclined topography based on a long-wave nonlinear model ⋮ On the multiple solutions of coating and rimming flows on rotating cylinders ⋮ Effect of disjoining pressure in a thin film equation with non-uniform forcing
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