Article (Scientific journals)
Constant Froude number in a circular hydraulic jump and its implication on the jump radius selection
Duchesne, Alexis; Lebon, Luc; Limat, Laurent
2014In Europhysics Letters, 107, p. 54002
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Keywords :
Interfacial flows; Capillary and thermocapillary flows
Abstract :
[en] The properties of a standard hydraulic jump depend critically on a Froude number Fr defined as the ratio of the flow velocity to the gravity waves speed. In the case of a horizontal circular jump, the question of the Froude number is not well documented. Our experiments show that Fr measured just after the jump is locked on a constant value that does not depend on the flow rate Q, the kinematic viscosity ν and the surface tension γ. Combining this result with a lubrication description of the outer flow leads, under appropriate conditions, to a new and simple law ruling the jump radius RJ: RJ(ln(R∞))3/8 ∼ Q5/8ν−3/8g−1/8, in excellent agreement RJ with our experimental data. This unexpected result raises an unsolved question to all available models.
Disciplines :
Physics
Author, co-author :
Duchesne, Alexis ;  Université Paris Diderot - Paris 7 > Laboratoire Matière et Systèmes Complexes
Lebon, Luc;  Université Paris Diderot - Paris 7 > Laboratoire Matière et Systèmes Complexes
Limat, Laurent;  Université Paris Diderot - Paris 7 > Laboratoire Matière et Systèmes Complexes
Language :
English
Title :
Constant Froude number in a circular hydraulic jump and its implication on the jump radius selection
Publication date :
2014
Journal title :
Europhysics Letters
ISSN :
0295-5075
eISSN :
1286-4854
Publisher :
EDP Sciences, Les Ulis, France
Volume :
107
Pages :
54002
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBi :
since 21 January 2015

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