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Physics > Fluid Dynamics

Title: A unified analytical prediction for steady-state behavior of confined drop with interface viscosity under shear flow

Abstract: In this Letter, we fill in the blanks in the theory of drops under shear flow by unifying analytical predictions for steady-state behavior proposed by Flumerfelt [R. W. Flumerfelt, J. Colloid Interface Sci. 76, 330 (1980)] for unconfined drops with interface viscosity with the one of Shapira & Haber [M. Shapira and S. Haber, Int. J. Multiph. Flow. 16, 305 (1990)] for confined drops without interface viscosity. Our predictions for both steady-state drop deformation and inclination angle are broadly valid for situations involving confined/unconfined drops, with/without interface viscosity and viscosity ratio, thus making our model so general that it can include any of the above conditions.
Subjects: Fluid Dynamics (physics.flu-dyn); Soft Condensed Matter (cond-mat.soft)
Cite as: arXiv:2404.15019 [physics.flu-dyn]
  (or arXiv:2404.15019v2 [physics.flu-dyn] for this version)

Submission history

From: Fabio Guglietta [view email]
[v1] Tue, 23 Apr 2024 13:24:27 GMT (2081kb,D)
[v2] Wed, 24 Apr 2024 08:15:00 GMT (2083kb,D)

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