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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
Conclusions

This paper reports detailed mean-flow and turbulence measurements in the momentumless wake of an axisymmetric body propelled by a swirling jet. The data elucidate the process of mixing between the boundary layer of the body and the jet and the evolution of the momentumless wake. It is found that the wake evolves in at least three stages. The first of these is the near-wake, extending to about 3 jet diameters, where the flow from the near-wall region of the boundary layer mixes with the jet periphery to produce an intense shear layer, distinct from the swirl-induced shear layer that is present at the jet center. There is rapid decay of the mean shear and turbulence in this region. In the second, intermediate region, extending to about 13 jet diameters, the mixing penetrates to the wake centerline, the individual shear layers are assimilated, the pressure field induced by the stern geometry and the swirling jet decays, and the mean shear and the Reynolds shear stresses become negligible by the end of this region. In the third region, called the developed-wake, the flow acquires the characteristics of a single shear layer, with very low levels of mean shear and shear stresses, implying negligible production of new turbulence, and decay of the normal stresses produced upstream.

Analysis of the data in the format of classical similarity theory reveals that the axial and swirling flows develop at quite different rates, as do the corresponding turbulence characteristics. Not all properties of the flow conform with the power-laws predicted by similarity theory. The decay of the swirl initially follows the trends predicted for high swirl and gradually moves towards those expected for weak swirl. However, not all flow properties show asymptotic behaviors, and therefore, it is concluded that a considerably larger streamwise distance is needed for the wake to achieve complete similarity. Further analysis of the data is needed to establish this limit.

The present flow was compared with that of Hyun and Patel (1) to reveal similarities and differences between momentumless wakes of jet- and propeller-driven bodies. Although the near-fields of the two flows are grossly different, as expected, there is strong similarity between the two after a distance of about 7 jet and propeller diameters. Hyun and Patel had shown that the periodicity of the flow associated with the wakes of the individual propeller blades died out beyond a distance of about 2 propeller diameters. The present data reveal that the identity of the jet and the body boundary layer is preserved up to at least 3 jet diameters. Further mixing is needed in both cases for the flow to acquire the characteristics of a single free shear layer. Similarity theory indicates that the two flows must evolve into a single unique state. Neither the experiments of Hyun and Patel nor the present extend into this range, but the comparisons presented here suggest that the two flows acquire considerable resemblance, justifying the intent of the present study to reproduce some elements of propeller wakes in a simpler environment.

Finally, it is important to point out that the present data, along with the data from complementary experiments in wakes and jets without swirl (see Sirviente (2)), comprise a rather comprehensive and unique set documenting the mixing of shear layers with diverse velocity and length scales, and their evolution toward a single shear layer. Consequently, these data are likely to prove of great value in the development and validation of models for nonequilibrium turbulent flows.

This research was partially supported by the Office of Naval Research, Grant N00014–91-J-1204, monitored by Dr. L.P.Purtell.

References

1. Hyun, B.S. and Patel, V.C., “Measurements in the Flow around a Marine Propeller at the Stern of an Axisymmetric Body. Part 1: Circumferentially-Averaged Flow,” Experiments in Fluids, Vol. 11, pp. 33–44. “Part 2: Phase-Averaged Flow,” Experiments in Fluids, Vol. 11, 1991, pp. 105–117.

2. Sirviente, A.I., “Wake of an Axisymmetric Body Propelled by a Jet with and without Swirl,” Ph.D. Thesis, 1996, Mechanical Engineering, The University of Iowa, Iowa City.

3. Hyun, B.S., “Measurements in the Flow around a Marine Propeller at the Stern of an Axisymmetric Body, “Ph.D. Thesis, 1990, Mechanical Engineering, The University of Iowa, Iowa City.

4. Walter, J.A., “Measurements in Near Wake of a Surface Mounted Semi Ellipsoidal Obstacle, ” Ph.D. Thesis, 1996, Mechanical Engineering, The University of Iowa, Iowa City.

5. Tennekes, H. and Lumley, J.L., “A First Course in Turbulence,” M.I.T. Press, Cambridge. ( 1972).

6. Ferry, M. and Piquet, J., “Sillage Visqueaus Lointain D'un Corps Sous-Marin Autopropulsé,” Rapport D'éttude Sirehna 86/14/R, 1987.

7. Ridjanovic, M., “Wake with Zero Change of Momentum Flux,” Ph.D. Thesis, 1963, Mechanics and Hydraulics, The University of Iowa, Iowa City.

8. Wang, H., “Flow Behind a Point Source of Turbulence,” Ph.D. Thesis, 1965, Mechanics and Hydraulics, The University of Iowa , Iowa City.

Page
984
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)