Turbulence in stably stratified fluids: A review of laboratory experiments

This is a review of laboratory studies of mixing in stably stratified fluids away from the direct intluence of boundary layers, and was written to introduce the session on laboratory experiments at the IUCRM Colloquium.Internal waves (Section 2) can lead to turbulence by creating regions of unstable density gradients through their mutual interactions, by individually breaking by forming rotors, and by reducing the local Richardson number until Kelvin-Helmholtz instability results. They may be important in radiating energy from turbulent or spreading regions. Critical-layer absorption of internal waves is not found to be a direct cause of turbulence in experiments with 15⩾ Richardson number ⩾5, although the modification of the vertical density profile may be significant.Turbulent-laminar interfaces without mean shear (Section 3) and with mean shear (Section 4) are described. The source of turbulence in these experiments is partly external, either generated by an oscillating grid or by a (relatively) moving boundary. The development of turbulence generated entirelywithin a stratified layer by Kelvin-Helmholtz instability, is described in detail in Section 5, and the results are compared with measurements in the ocean and in the atmosphere.

[1]  Philip Hazel Numerical studies of the stability of inviscid stratified shear flows , 1972, Journal of Fluid Mechanics.

[2]  J. Turner,et al.  Turbulent entrainment in stratified flows , 1959, Journal of Fluid Mechanics.

[3]  R. Davis,et al.  The two-dimensional flow of a stratified fluid over an obstacle , 1969, Journal of Fluid Mechanics.

[4]  A. Townsend Excitation of internal waves in a stably-stratified atmosphere with considerable wind-shear , 1968, Journal of Fluid Mechanics.

[5]  J. Dutton An Energy Budget for a Layer of Stratospheric CAT , 1969 .

[6]  J. E. Cermak,et al.  Problems of atmospheric shear flows and their laboratory simulation , 1970 .

[7]  A. Acrivos,et al.  The stability of oscillatory internal waves , 1967, Journal of Fluid Mechanics.

[8]  T. Benjamin Gravity currents and related phenomena , 1968, Journal of Fluid Mechanics.

[9]  C. Wunsch,et al.  Resonant Internal Wave Interactions , 1969, Nature.

[10]  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.

[11]  Robert R. Long,et al.  Some Aspects of the Flow of Stratified Fluids: I. A Theoretical Investigation , 1953 .

[12]  R. Breeding A non-linear investigation of critical levels for internal atmospheric gravity waves , 1971, Journal of Fluid Mechanics.

[13]  R. Wiley,et al.  Billow turbulence and ocean microstructure , 1972 .

[14]  A. Townsend Excitation of internal waves by a turbulent boundary layer , 1965, Journal of Fluid Mechanics.

[15]  Francis P. Bretherton,et al.  The critical layer for internal gravity waves in a shear flow , 1967, Journal of Fluid Mechanics.

[16]  D. E. Mowbray,et al.  A theoretical and experimental investigation of the phase configuration of internal waves of small amplitude in a density stratified liquid , 1967, Journal of Fluid Mechanics.

[17]  J. Dodu,et al.  DIFFUSION TURBULENTE À TRAVERS UNE DISCONTINUITÉ DE DENSITÉ , 1955 .

[18]  S. A. Thorpe,et al.  On the shape of progressive internal waves , 1968, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[19]  C. D. Watkins,et al.  Observations of Clear Air Turbulence by High Power Radar , 1970, Nature.

[20]  R. R. Long,et al.  An experimental investigation of turbulent stratified shearing flow , 1971, Journal of Fluid Mechanics.

[21]  S. A. Thorpe,et al.  Experiments on the instability of stratified shear flows: immiscible fluids , 1969, Journal of Fluid Mechanics.

[22]  S. Thorpe Experiments on the Stability of Stratified Shear Flows , 1969 .

[23]  S. Arya The critical condition for the maintenance of turbulence in stratified flows , 1972 .

[24]  O. M. Phillips,et al.  On the penetration of a turbulent layer into stratified fluid , 1969, Journal of Fluid Mechanics.

[25]  H. Görtler Über eine Schwingungserscheinung in Flüssigkeiten mit stabiler Dichteschichtung , 1943 .

[26]  F. Badgley Large Scale Processes Contributing Energy to Clear Air Turbulence , 1969 .

[27]  Jin Wu Mixed region collapse with internal wave generation in a density-stratified medium , 1969, Journal of Fluid Mechanics.

[28]  K. Browning Structure of the atmosphere in the vicinity of large‐amplitude Kelvin‐Helmholtz billows , 1971 .

[29]  R. Scotti,et al.  Measurements on the Growth of Small Disturbances in a Stratified Shear Layer , 1969 .

[30]  A. Townsend Natural convection in water over an ice surface , 1964 .

[31]  S. A. Thorpe,et al.  A method of producing a shear flow in a stratified fluid , 1968, Journal of Fluid Mechanics.

[32]  Karl E. B. Lofquist Flow and Stress Near an Interface between Stratified Liquids , 1960 .

[33]  J. Turner,et al.  The influence of molecular diffusivity on turbulent entrainment across a density interface , 1968, Journal of Fluid Mechanics.

[34]  A. Acrivos,et al.  Solitary internal waves in deep water , 1967, Journal of Fluid Mechanics.

[35]  A. Townsend,et al.  Turbulent flow in a stably stratified atmosphere , 1958, Journal of Fluid Mechanics.

[36]  A. Mcewan Degeneration of resonantly-excited standing internal gravity waves , 1971, Journal of Fluid Mechanics.

[37]  T. Benjamin Internal waves of permanent form in fluids of great depth , 1967, Journal of Fluid Mechanics.

[38]  H. L. Grant,et al.  Some observations of the occurrence of turbulence in and above the thermocline , 1968, Journal of Fluid Mechanics.

[39]  R. R. Long Some Aspects of the Flow of Stratified Fluids , 1955 .

[40]  Y. Pao Origin and Structure of Turbulence in Stably Stratified Media , 1969 .