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Basset-Boussinesq history force of a fluid sphere.

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.
Keywords : History force Drop
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Dominique Legendre, Azeddine Rachih, Claire Souilliez, Sophie Charton, Éric Climent. Basset-Boussinesq history force of a fluid sphere.. Physical Review Fluids, American Physical Society, 2019, 4 (7), pp.073603. ⟨10.1103/PhysRevFluids.4.073603⟩. ⟨cea-02535280⟩

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