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Linear shear flow past a hemispherical droplet adhering to a solid surface

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Abstract

The properties of a three-dimensional shear flow overpassing a hemispherical droplet resting on a plane wall are investigated. The exact solution is computed as a function of the viscosity ratio between the droplet and the surrounding fluid and generalizes the solution for the hemispherical no-slip bump given in an earlier paper by Price (QJMAM (1985) 38: 93–104). Several expressions, including the torque and the force acting on the drop, are considered as well as the importance of the deformations on the surface for small capillary numbers.

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Authors and Affiliations

  1. Faculty of Applied Sciences, IMPACT, and Burgerscentrum, University of Twente, P.O. Box 217, AE 7500, Enschede, The Netherlands

    K. Sugiyama & M. Sbragaglia

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  1. K. Sugiyama
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  2. M. Sbragaglia
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Correspondence to M. Sbragaglia.

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Sugiyama, K., Sbragaglia, M. Linear shear flow past a hemispherical droplet adhering to a solid surface. J Eng Math 62, 35–50 (2008). https://doi.org/10.1007/s10665-007-9185-z

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  • DOI: https://doi.org/10.1007/s10665-007-9185-z

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