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Twenty-First Symposium on Naval Hydrodynamics (1997)
Commission on Physical Sciences, Mathematics, and Applications (CPSMA)

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. "Inception, Development, and Noise of a Tip Vortex Cavitation." Twenty-First Symposium on Naval Hydrodynamics. Washington, DC: The National Academies Press, 1997.

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Twenty-First Symposium on NAVAL HYDRODYNAMICS

order to extrapolate the results to full scale? In many papers, authors indicate that oxygen content acts on cavitation inception ([2], [3], [6], [9]) and on desinence cavitation[13]. We could ask if there is a best water quality for model tests. But the above mentionned studies do not permit to quantitatively correlate a parameter describing water quality and a cavitation number.

Many studies were conducted on different French tests facilities during the Action Concertée Cavitation. The aim was a better understanding of tip vortex roll-up and of associated cavitating phenomenon ([ 7], [8], [11]). Due to the fact that the water tunnel, the Grand Tunnel Hydrodynamique G.T.H., permits us to control the oxygen content independently from the freestream nuclei content, the Bassin d'Essais des Carènes was in charge of studing relation between oxygen content, freestream nuclei content and inception, development and desinence of cavitation [11].

The aim of this paper is first to recall the main results obtained during these tests. For the cavity within the tip vortex-roll up, a law was yet proposed as a function of the Reynolds number for a single water quality at the desinence cavitation [8]. We will see in this paper, how all the data for cavitation inception can be fitted on a single curve when taking into account freestream nuclei.

The diameter of the cavity within the vortex was also measured. This allowed to appreciate how the water quality affects the development of cavitation. Thus, the hysteresis at desinence can be explain by diffusion of non condensable gas as expected by Holl [13].

At the inception of the cavity, we observe bubbles growing in the center of the tip vortex for special water quality. These bubbles, captured by the vortex, could grow by diffusion of non condensible gas or could explose by vaporisation of liquid. We are particulary interested in the acoustic noise and, in the following, we will call cavitation inception, a phenomenon with two particularities: we can locate the tip vortex in the flow visually, and there is a raise of the acoustic noise.

For developed cavitation, specific frequencies were extracted in the spectrum signal. These frequencies are compared with the frequencies of modal deformations of the cavity.

2.
EXPERIMENTAL SETUP
2.1
Flow parameters

Experiments were conducted in the G.T.H. [5], in the square test section of 1.14 m width, 1.14 m high and of 6 m long. The studies were made with an elliptical planform hydrofoil, the maximum chord is 475 mm and the half-span equals 753 mm (the aspect ratio is 3.8), the cross-section is a NACA 0020.

The tunnel permits us to control the inlet velocity between 2 m/s up to 20 m/s with an accuracy of 0.2%. The pressure level varies between 2.104 Pa up to 4.5 105 Pa, with an accuracy of 0.5%. The cavitation number σ is defined as:

(1)

with P, the total inlet pressure in the plane of the tip of the hydrofoil, Pv, the vapor pressure of water, ρ the volumic mass of water and V the inlet flow velocity. The precision of σ is 1%.

The oxygen content is controlled between 25% up to 160% of saturation and is measured with an oxygen probe. The flow can be seeded with nuclei through injectors located upstream the tunnel nozzle. A Cavitation Susceptibility Meter based on a centerbody venturi (called VAG) measures the nuclei distribution in the fluid. Hence, the number of nuclei with a given critical pressure is known for each test configuration. Several nuclei injections patterns were tested. They are characterised by a specific susceptibility pressure, a concentration and a distribution in the test section. Hereafter, the higher Ps (lower tension) corresponds to the water with ‘big' bubbles, then we have a medium Ps for ‘small' bubbles and the water without injection have the lowest Ps (higher tension). For more details, see [3].

Cavitating data were collected with the two testing configurations of nuclei presented below.

2.2
First configuration

The hydrofoil is mounted vertically at the top of the test section (Figure 1). The angle of attack is changed

Page
852
Front Matter (R1-R16)
Opening Remarks (1-4)
Progress Toward Understanding How Waves Break (5-28)
Radiation and Diffraction Waves of a Ship at Forward Speed (29-44)
Nonlinear Ship Motions and Wave-Induced Loads by a Rankine Method (45-63)
Nonlinear Water Wave Computations Using a Multipole Accelerated, Desingularized Method (64-74)
Computations of Wave Loads Using a B-Spline Panel Method (75-92)
Simulation of Strongly Nonlinear Wave Generation and Wave-Body Interactions Using a 3-D Model (93-109)
Analysis of Interactions Between Nonlinear Waves and Bodies by Domain Decomposition (110-119)
Fourier-Kochin Theory of Free-Surface Flows (120-135)
24-inch Water Tunnel Flow Field Measurements During Propeller Crashback (136-146)
Accuracy of Wave Pattern Analysis Methods in Towing Tanks (147-160)
Unsteady Three-Dimensional Cross-Flow Separation Measurements on a Prolate Spheroid Undergoing Time-Dependent Maneuvers (161-176)
Time-Domain Calculations of First-and Second-Order Forces on a Vessel Sailing in Waves (177-188)
Third-Order Volterra Modeling Ship Responses Based on Regular Wave Results (189-204)
Nonlinearly Interacting Responses of the Two Rotational Modes of Motion-Roll and Pitch Motions (205-219)
Nonlinear Shallow-Water Flow on Deck Coupled with Ship Motion (220-234)
Radar Backscatter of a V-like Ship Wake from a Sea Surface Covered by Surfactants (235-248)
Turbulent Free-Surface Flows: A Comparison Between Numerical Simulations and Experimental Measurements (249-265)
Conductivity Measurements in the Wake of Submerged Bodies in Density-Stratified Media (266-277)
Macro Wake Measurements for a Range of Ships (278-290)
Time-Marching CFD Simulation for Moving Boundary Problems (291-311)
Yaw Effects on Model-Scale Ship Flows (312-327)
A Multigrid Velocity-Pressure-Free Surface Elevation Fully Coupled Solver for Calculation of Turbulent Incompressible Flow around a Hull (328-345)
The Shoulder Wave and Separation Generated by a Surface-Piercing Strut (346-358)
Vorticity Fields due to Rolling Bodies in a Free Surface-Experiment and Theory (359-376)
Numerical Calculations of Ship Stern Flows at Full-Scale Reynolds Numbers (377-391)
Near-and Far-Field CFD for a Naval Combatant Including Thermal-Stratification and Two-Fluid Modeling (392-407)
Water Entry of Arbitrary Two-Dimensional Sections with and Without Flow Separation (408-423)
Coupled Hydrodynamic Impact and Elastic Response (424-437)
A Practical Prediction of Wave-Induced Structural Responses in Ships with Large Amplitude Motion (438-452)
Evaluation of Eddy Viscosity and Second-Moment Turbulence Closures for Steady Flows Around Ships (453-469)
On the Modeling of the Flow Past a Free-Surface-Piercing Flat Plate (470-477)
Self-Propelled Maneuvering Underwater Vehicles (478-489)
Spray Formation at the Free Surface of Turbulent Bow Sheets (490-505)
Numerical Simulation of Three-Dimensional Breaking Waves About Ships (506-519)
Generation Mechanisms and Sources of Vorticity Within a Spilling Breaking Wave (520-533)
The Flow Field in Steady Breaking Waves (534-549)
Freak Waves-A Three-Dimensional Wave Simulation (550-560)
Bluff Body Hydrodynamics (561-579)
Large-Eddy Simulation of the Vortical Motion Resulting from Flow over Bluff Bodies (580-591)
The Wake of a Bluff Body Moving Through Waves (592-604)
Low-Dimensional Modeling of Flow-Induced Vibrations via Proper Orthogonal Decomposition (605-621)
Measurements of Hydrodynamic Damping of Bluff Bodies with Application to the Prediction of Viscous Damping of TLP Hulls (622-634)
Hydrodynamics in Advanced Sailing Design (635-660)
Divergent Bow Waves (661-679)
A Method for the Optimization of Ship Hulls from a Resistance Point of View (680-696)
Hydrodynamic Optimization of Fast-Displacement Catamarans (697-714)
On Ships at Supercritical Speeds (715-726)
The Influence of a Bottom Mud Layer on the Steady-State Hydrodynamics of Marine Vehicles (727-742)
A Hybrid Approach to Capture Free-Surface and Viscous Effects for a Ship in a Channel (743-755)
Shock Waves in Cloud Cavitation (756-771)
Asymptotic Solution of the Flow Problem and Estimate of Delay of Cavitation Inception for a Hydrofoil with a Jet Flap (772-782)
Examination of the Flow Near the Leading Edge and Closure of Stable Attached Cavitation (783-793)
Numerical Investigation on the Turbulent and Vortical Flows Beneath the Free Surface Around Struts (794-811)
Steep and Breaking Faraday Waves (812-826)
The Forces Exerted by Internal Waves on a Restrained Body Submerged in a Stratified Fluid (827-838)
Influence of the Cavitation Nuclei on the Cavitation Bucket when Predicting the Full-Scale Behavior of a Marine Propeller (839-850)
Inception, Development, and Noise of a Tip Vortex Cavitation (851-864)
Velocity and Turbulence in the Near-Field Region of Tip Vortices from Elliptical Wings: Its Impact on Cavitation (865-881)
Calculations of Pressure Fluctuations on the Ship Hull Induced by Intermittently Cavitating Propellers (882-897)
Hydroacoustic Considerations in Marine Propulsor Design (898-912)
Prediction of Unsteady Performance of Marine Propellers with Cavitation Using Surface-Panel Method (913-929)
A Comparitive Study of Conventional and Tip-Fin Propeller Performance (930-945)
A New Way of Stimulating Whale Tail Propulsion (946-958)
Effects of Tip-Clearance Flows (959-972)
Experiments in the Swirling Wake of a Self-Propelled Axisymmetric Body (973-985)
Hydrodynamic Forces on a Surface-Piercing Plate in Steady Maneuvering Motion (986-996)
Advances in Panel Methods (997-1006)
Effect of Ship Motion on DD-963 Ship Airwake Simulated by Multizone Navier-Stokes Solution (1007-1017)
Large-Eddy Simulation of Decaying Free-Surface Turbulence with Dynamic Mixed Subgrid-Scale Models (1018-1032)
Fully Nonlinear Hydrodynamic Calculations for Ship Design on Parallel Computing Platforms (1033-1047)
Validation of Incompressible Flow Computation of Forces and Moments on Axisymmetric Bodies Undergoing Constant Radius Turning (1048-1060)
The Validation of CFD Predictions of Nominal Wake for the SUBOFF Fully Appended Geometry (1061-1076)
Appendix-List of Participants (1077-1084)