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Article Dans Une Revue EPL - Europhysics Letters Année : 2014

Constant Froude number in a circular hydraulic jump and its implication on the jump radius selection

Alexis Duchesne
Laurent Limat

Résumé

The properties of a standard hydraulic jump depend critically on a Froude number F r 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 F r 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 to a lubrication description of the outer flow yields, under appropriate conditions, to a new and simple law ruling the jump radius R J : R J (ln(R∞/R J))^3/8 ∼ Q^5/8 ν^−3/8 g^−1/8 , in excellent agreement with our experimental data. This unexpected result asks an unsolved question to all available models.
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Dates et versions

hal-02343858 , version 1 (03-11-2019)
hal-02343858 , version 2 (16-11-2019)

Identifiants

Citer

Alexis Duchesne, Luc Lebon, Laurent Limat. Constant Froude number in a circular hydraulic jump and its implication on the jump radius selection. EPL - Europhysics Letters, 2014, 107 (5), pp.54002. ⟨10.1209/0295-5075/107/54002⟩. ⟨hal-02343858v2⟩
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