Journal of Engineering Mathematics

, Volume 62, Issue 1, pp 35–50 | Cite as

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

  • K. Sugiyama
  • M. Sbragaglia


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.


Droplets Droplet deformations Laminar shear flows 


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© Springer Science + Business Media B.V. 2007

Authors and Affiliations

  1. 1.Faculty of Applied Sciences, IMPACT, and BurgerscentrumUniversity of TwenteEnschedeThe Netherlands

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