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Basset-Boussinesq history force of a fluid sphere.

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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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
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)
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Deposited On:12 Mar 2020 11:22

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