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Numerical Study of the Transition Between Reentrant Jet and Twin Vortex Flow Regimes in Ventilated Cavitation

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Abstract

Contrary to natural cavitation, ventilated cavitation is controllable and is not harmful. It is particularly used to reduce the drag of the hydraulic vehicles. The ventilated cavitation is characterized by various gas regimes. The mechanisms of ventilated cavitation are investigated in the present work with CFD based on a 2D solver. The attention is especially focused on the transition between the reentrant jet and twin vortex regimes. The results confirm that the product of ventilated cavitation number and Froude number is lower than 1 (σcFr< 1) in the twin vortex regime, while it is higher than 1 (σcFr> 1) in the reentrant jet regime, as reported in the literature. Further analysis shows that ventilated cavitation is significantly influenced by the natural cavitation number.

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Abbreviations

C c :

empirical constant for condensation term source

C e :

empirical constant for evaporation term source

C μ :

empirical constant for k-epsilon model

C Q :

ventilation air flow coefficient

\( {C}_{Q_t} \) :

transition ventilation air flow coefficient

D :

model diameter

Fr :

Froude number

k :

turbulent kinetic energy

\( \overset{.}{m^{-}} \) :

condensation term source of the vapor volume fraction

\( \overset{.}{m^{+}} \) :

evaporation term source of the vapor volume fraction

p v :

saturated vapor pressure

p c :

cavity pressure

\( \overset{.}{Q} \) :

volume flowrate of air

U m :

mixture velocity

V :

control volume

V :

free-stream velocity

α l :

liquid volume fraction

α ng :

non-condensable gas volume fraction

α v :

vapor volume fraction

ε :

turbulent dissipation

μ t :

eddy viscosity

π ε :

tensor for the turbulent dissipation

π k :

tensor for the turbulent kinetic energy

πm :

tensor for the external forces

ρ l :

liquid density

ρ m :

mixture density

ρ ng :

non-condensable gas density

ρ v :

vapor density

σ :

natural cavitation number

σ c :

ventilated cavitation number

References

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Acknowledgements

This work was performed in the scope of project ANR-12-ASTR-0017-03 “F-DRAINH” in collaboration with the IRENav Laboratory (French Naval Academy, Brest, France) and the IMFT laboratory (Toulouse, France).

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Correspondence to Mahamadou Adama Maiga.

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Adama Maiga, M., Coutier-Delgosha, O. & Bois, G. Numerical Study of the Transition Between Reentrant Jet and Twin Vortex Flow Regimes in Ventilated Cavitation. J. Marine. Sci. Appl. 17, 38–44 (2018). https://doi.org/10.1007/s11804-018-0014-8

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  • DOI: https://doi.org/10.1007/s11804-018-0014-8

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