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

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. "Experiments in the Swirling Wake of a Self-Propelled Axisymmetric Body." Twenty-First Symposium on Naval Hydrodynamics. Washington, DC: The National Academies Press, 1997.

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Twenty-First Symposium on NAVAL HYDRODYNAMICS

pipe concentric with the first pipe to impart tangential momentum to the flow. The tangential flow was injected into the axial stream at a distance 39 cm upstream from the jet exit through four 1.0 cm ×0.5 cm tangential slots. This method of swirl generation is simple, has no moving parts, and provides independent control of axial and tangential momenta.

Figure 1. Modified Iowa Body

The experiments were conducted in the 1.07-m octagonal, open test-section, return-circuit wind tunnel of the Iowa Institute of Hydraulic Research. Figure 2 shows the wind tunnel and model arrangement along with the coordinate system used to report the data. The uniformity of mean velocity and turbulence intensity in the tunnel was investigated by Hyun (3), who reported a mean-flow uniformity better than 0.25% and a turbulence intensity of 0.5% in the test section. The freestream velocity U o was set at 16.5 m/s, resulting in a Reynolds number based on body length (Re=UoL/v) of 1.58×106, where v is the kinematic viscosity of air. The jet velocity was adjusted to realize the self-propelled condition, i.e., such that the axial momentum of the jet was just equal to the momentum loss due to the body drag. This condition was achieved with a maximum axial velocity at the jet exit equal to twice the freestream velocity, i.e., Uj=2Uo. The tangential momentum was adjusted such that it matched that of the propeller employed by Hyun and Patel (1). The maximum tangential velocity at jet exit was then Wmj= 0.95Uo. These operating conditions translate into a swirl number,

(1)

based on jet radius (D/2), of 0.34, where and are, respectively, the axial fluxes of axial and tangential momenta of the swirling jet.

As shown in Figure 1, the model was mounted with a part of it extending into the tunnel contraction to maximize the axial length over which the wake could be studied. This enabled measurements in the axial direction up x/D=19.531, or x/L=0.531, where x is measured from the jet exit. It will be seen later that this distance was just sufficient to establish the asymptotic state of the wake. In the radial direction, measurements were made up to r/R=4.5 to recover the freestream conditions.

As this flow is, in principle, steady and rotationally symmetric, its description requires measurements along a single radial line at each axial position. However, measurements were taken across the (vertical) diameter to monitor flow symmetry. The measurements were made with a triple-sensor hot-wire probe and a five-hole Pitot probe. The latter was used to determine the mean flow direction so that proper yaw and pitch angles for the hot-wire probe could be selected. It also provided redundant data for the mean-velocity components. The probes were traversed in the vertical direction by a simple computer-controlled mechanism. Detailed description of the experimental equipment, instrumentation, and measurement procedures can be found in Sirviente (2), along with an analysis of the uncertainty in the data. There it is shown that the uncertainties of the mean velocity components measured with the hot-wire were less than 0.02Uo and those in flow directionality were 1.5 degrees. Uncertainties of the axial Reynolds stress, and the shear stress, were estimated to be 10%, while those of the remaining stresses were 20%. Measurements with the five-hole Pitot probe had uncertainties of 0.02Uo in velocity magnitude and ±1.5 degrees in flow direction. The software used to control the experiments, and acquire and process the data, is described by Walter (4).

Figure 2. Wind Tunnel and Model Arrangement

Results

In the following, the data are presented in cylindrical polar coordinates (x,r,θ) where x is measured along the body axis from the base (jet exit). The mean and fluctuating velocity components in these directions are (U,V,W) and (u,v,w),

Page
974
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)