Legendre, Dominique and Rachih, Azeddine
and Souilliez, Claire
and Charton, Sophie and Climent, Éric
Basset-Boussinesq history force of a fluid sphere.
(2019)
Physical Review Fluids, 4 (7). 073603. ISSN 2469-990X
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(Document in English)
PDF (Publisher's version) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader 1MB |
Official URL: https://doi.org/DOI:10.1103/PhysRevFluids.4.073603
Abstract
We consider the Basset-Boussinesq (history) force experienced by a spherical drop. We seek to determine the kernel of the Basset-Boussinesq force when internal circulation of the fluid occurs.We first characterize the slip at a fluid-sphere interface. Under both steady and unsteady conditions, the corresponding slip length is remarkably uniform along the fluid-sphere interface and is directly related to the viscosity ratio. Combining the analytical expression of the Basset-Boussinesq kernel obtained for a solid sphere with the interface slip and the obtained description of the slip at the fluid-fluid interface, we are able to describe the Basset-Boussinesq history force acting on a spherical drop. This expression is valid whatever the viscosity ratio from bubbles to viscous drops.
Item Type: | Article |
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HAL Id: | cea-02535280 |
Audience (journal): | International peer-reviewed journal |
Uncontrolled Keywords: | |
Institution: | French research institutions > Commissariat à l'Energie Atomique et aux énergies alternatives - CEA (FRANCE) French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE) Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE) Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE) |
Laboratory name: | |
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Deposited On: | 12 Mar 2020 11:22 |
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