Nonvertical ascension or fall of a free sphere in a Newtonian fluid

Abstract : It is shown that the system represented by a free sphere ascending or falling in a Newtonian fluid under the action of gravity buoyancy undergoes a regular, symmetry breaking bifurcation making the trajectory deviate from the vertical direction. The instability threshold expressed in terms of the asymptotic Reynolds number lies below that of a fixed sphere wake. The instability is shown to saturate and reach a fixed point corresponding to a straight oblique ascension fall.
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Contributor : Gilles Bouchet <>
Submitted on : Thursday, January 26, 2017 - 3:12:45 PM
Last modification on : Saturday, October 27, 2018 - 1:28:24 AM

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Mathieu Jenny, Gilles Bouchet, Jan Dušek. Nonvertical ascension or fall of a free sphere in a Newtonian fluid. Physics of Fluids, American Institute of Physics, 2003, 15 (1), pp.L9 - L12. ⟨10.1063/1.1529179⟩. ⟨hal-01447015⟩

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