Stratified propelled wakes

This paper presents experimental results on the wake of a propelled bluff body towed at a constant horizontal speed in a linearly stratified fluid. Three regimes of the wake have been found, depending on the angle of attack and on the ratio of drag force to propeller thrust. Most of the experiments were obtained in a first regime where a strong momentum flux is created in the wake, which can be oriented backward or forward depending on the ratio of drag force to thrust of the propeller. The velocity amplitude, wake width and Strouhal number of the wake can be predicted by defining a momentum thickness based on the drag coefficient of the bluff body and the thrust of the propeller. A second regime is obtained for a narrow band of towing velocities, with a relative width of 4%, in which the momentum flux is found to vanish. The wake is characterized by the velocity fluctuations; the scaling exponents of the velocity, vorticity and width of the wake are measured. A third regime is obtained for wakes with a small angle of attack, with a null momentum flux. The mean profile of the wake is found to be asymmetric and its amplitude and wake width are measured. Finally, the relevance of these results to the case of a real self-propelled bluff body is discussed. The presence of weak internal waves or of weak fluctuations of background velocity would lead to a wake in the regime with momentum flux, and would allow prediction of the amplitude, width and Strouhal number of the wake.

[1]  R. W. Stewart,et al.  Experiments with a self-propelled body submerged in a fluid with a vertical density gradient , 1963, Journal of Fluid Mechanics.

[2]  Eduard Naudascher,et al.  Flow in the wake of self-propelled bodies and related sources of turbulence , 1965, Journal of Fluid Mechanics.

[3]  J. Lumley,et al.  A First Course in Turbulence , 1972 .

[4]  A. Jakubowski,et al.  Investigation of the Turbulent Properties of the Wake Behind Self- Propelled, Axisymmetric Bodies , 1974 .

[5]  A. Jakubowski,et al.  TURBULENT WAKE BEHIND SLENDER BODIES INCLUDING SELF-PROPELLED CONFIGURATIONS , 1974 .

[6]  J. A. Schetz,et al.  Experimental studies of the turbulent wake behind self-propelled slender bodies , 1975 .

[7]  M. Finson Similarity behaviour of momentumless turbulent wakes , 1975, Journal of Fluid Mechanics.

[8]  Paul M. Bevilaqua,et al.  Turbulence memory in self-preserving wakes , 1978, Journal of Fluid Mechanics.

[9]  Samuel Hassid,et al.  Similarity and decay laws of momentumless wakes , 1980 .

[10]  Karl E. B. Lofquist,et al.  Drag on a sphere moving horizontally through a stratified liquid , 1984, Journal of Fluid Mechanics.

[11]  Experiments on the generation of internal waves in a stratified fluid , 1985 .

[12]  T. Kubota,et al.  Axisymmetric wakes behind a slender body including zero-momentum configurations , 1990 .

[13]  Bruno Voisin Internal wave generation in uniformly stratified fluids. Part 1. Green's function and point sources , 1991, Journal of Fluid Mechanics.

[14]  J. Chomaz,et al.  The structure of the near wake of a sphere moving horizontally in a stratified fluid , 1993, Journal of Fluid Mechanics.

[15]  J. Chomaz,et al.  Internal waves produced by the turbulent wake of a sphere moving horizontally in a stratified fluid , 1993, Journal of Fluid Mechanics.

[16]  F. Browand,et al.  Turbulence, similarity scaling and vortex geometry in the wake of a towed sphere in a stably stratified fluid , 1996, Journal of Fluid Mechanics.

[17]  G. Spedding The evolution of initially turbulent bluff-body wakes at high internal Froude number , 1997, Journal of Fluid Mechanics.

[18]  A. M. Fincham,et al.  Low cost, high resolution DPIV for measurement of turbulent fluid flow , 1997 .

[19]  A. I. Sirviente,et al.  Experiments in the Turbulent Near Wake of an Axisymmetric Body , 1999 .

[20]  A. I. Sirviente,et al.  Wake of a Self-Propelled Body, Part 2: Momentumless Wake with Swirl , 2000 .

[21]  J. Riley,et al.  Fluid Motions in the Presence of Strong Stable Stratification , 2000 .

[22]  A. I. Sirviente,et al.  Wake of a Self-Propelled Body, Part 1: Momentumless Wake , 2000 .

[23]  Michael J. Gourlay,et al.  Numerical modeling of initially turbulent wakes with net momentum , 2001 .

[24]  V. C. Patel,et al.  Turbulence in Wake of a Self-Propelled Body with and without Swirl , 2001 .

[25]  A. G. Demenkov,et al.  Numerical modelling of a swirling turbulent wake behind a self-propelled body , 2001 .

[26]  G. Spedding The streamwise spacing of adjacent coherent structures in stratified wakes , 2002 .

[27]  E. Novikov,et al.  Numerical simulation of the wake of a towed sphere in a weakly stratified fluid , 2002, Journal of Fluid Mechanics.

[28]  Vortex streets generated by a moving momentum source in a stratified fluid , 2003 .

[29]  S. Smirnov,et al.  On the asymptotic theory of momentum/zero-momentum wakes , 2003 .

[30]  Anisotropy decay of turbulence in a far momentumless wake in a linearly stratified medium , 2003 .

[31]  Michael J. Gourlay,et al.  Equilibrium similarity, effects of initial conditions and local Reynolds number on the axisymmetric wake , 2003 .

[32]  Wakes behind towed and self-propelled bodies: Asymptotic theory , 2004 .

[33]  G. Spedding,et al.  A loss of memory in stratified momentum wakes , 2004 .

[34]  Jan S. Hesthaven,et al.  A spectral multidomain penalty method model for the simulation of high Reynolds number localized incompressible stratified turbulence , 2005 .