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Issue 43, 2016
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Response of driven sessile drops with contact-line dissipation

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Abstract

A partially-wetting sessile drop is driven by a sinusoidal pressure field that produces capillary waves on the liquid/gas interface. Response diagrams and phase shifts for the droplet, whose contact-line moves with contact-angle that is a smooth function of the contact line speed, are reported. Contact-line dissipation originating from the contact-line speed condition leads to damping for drops with finite contact-line mobility, even for inviscid fluids. The critical mobility and associated driving frequency to generate the largest contact-line dissipation is computed. Viscous dissipation is approximated using the irrotational flow and the critical Ohnesorge number bounding regions beyond which a given mode becomes over-damped is computed. Regions of modal coexistence where two modes can be simultaneously excited by a single forcing frequency are identified. Predictions compare favorably to related experiments on vibrated drops.

Graphical abstract: Response of driven sessile drops with contact-line dissipation

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Publication details

The article was received on 22 Aug 2016, accepted on 01 Oct 2016 and first published on 03 Oct 2016


Article type: Paper
DOI: 10.1039/C6SM01928E
Citation: Soft Matter, 2016,12, 8919-8926
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    Response of driven sessile drops with contact-line dissipation

    J. B. Bostwick and P. H. Steen, Soft Matter, 2016, 12, 8919
    DOI: 10.1039/C6SM01928E

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