LOGIN TO YOUR ACCOUNT

Username
Password
Remember Me
Or use your Academic/Social account:

CREATE AN ACCOUNT

Or use your Academic/Social account:

Congratulations!

You have just completed your registration at OpenAire.

Before you can login to the site, you will need to activate your account. An e-mail will be sent to you with the proper instructions.

Important!

Please note that this site is currently undergoing Beta testing.
Any new content you create is not guaranteed to be present to the final version of the site upon release.

Thank you for your patience,
OpenAire Dev Team.

Close This Message

CREATE AN ACCOUNT

Name:
Username:
Password:
Verify Password:
E-mail:
Verify E-mail:
*All Fields Are Required.
Please Verify You Are Human:
fbtwitterlinkedinvimeoflicker grey 14rssslideshare1
Liu, J. T. C.; Merkine, L. (2011)
Publisher: Co-Action Publishing
Journal: Tellus A
Languages: English
Types: Article
Subjects:
DOI: 10.1111/j.2153-3490.1976.tb00669.xIn this paper we study the development of instability waves in a stratified shear flow which occurs, for instance, in frontal zones and on large scale internal waves where the Richardson number is sufficiently low. The model is based on splitting the flow into the mean flow and instability wave components. The basis for the interaction between the mean flow and the wave is their respective vertically integrated energy flux equations. The wave description is obtained through a shape assumption: the time dependent wave amplitude is determined by its energy equation solved jointly with the mean flow and the vertical shape function is given by the local linear theory. The instability wave kinetic energy development is determined by the balance between energy production from the mean flow and the conversion of fluctuation kinetic to potential energy. From the energy integral considerations, the numerical results show moderately good agreement with observations in our estimate of the lifetime of the wave and the doubling of the thickness of the mean shear layer during this time. The modification of the mean flow velocity and temperature profiles is explained via the effects of the wave generated vertical momentum and heat (or buoyancy) fluxes, respectively.DOI: 10.1111/j.2153-3490.1976.tb00669.x
  • The results below are discovered through our pilot algorithms. Let us know how we are doing!

    • Atlas, D., Metcalf, J. I., Richter, J. H. & Gosaard, E. E. 1970. The birth of “CAT” and microscale turbulence. J. Atnaos. Sci. 27, 90S913.
    • Axford, D. N. 1970. An observation of gravity waves in shear flow in the lower stratospllere. Quart. J. R . Met. SOC.96, 273-286.
    • Axford, D. N. 1973. On an observation of turbulent waves on the tropopause surface. Quart. J. R . Met. SOC.99, 438-449.
    • Browning, K. A. 1971. Structure of the atmosphere in the vicinity of large amplitude Kelvin-Helmholtz billows. Quart. J. R. Met. SOC.97, 283-299.
    • Browning, K. A. & Watkins, C. D. 1970. Observations of clear air turbulence by high power radar. Nature 227, 260-263.
    • Browning, K. A., Bryant, G. W., Starr, J. R. & Axford, D. N. 1973. Air motion within KelvinHelmholtz. billows determined from simultaneous Doppler radar and aircraft measurements. Quart. J . R. Met. SOC.99, 608-618.
    • Cox, C., Nagata, Y. & Osborn, T. 1969. Ocean fine structure and internal waves. B d l . Jcvpaneee SOC. F h h . Oceanogr. (Special Number, Prof. Uda's Commemorative Papers), pp. 67-71.
    • Drazin, P. G. 1970. Kelvin-Helmholtz instability of finite amplitude. J. Fluid Mech. 42, 321-335.
    • Dutton, J. A. 1971. Clear-air turbulence, aviation, and atmospheric science. Revs. Qeophys. and Space Phys. 9, 613-657.
    • Gossard, E. E., Richter, J. H. & Atlas, D. 1970. Internal waves in the atmosphere from high resolution radar measurements. J. Qeophys. Res. 75, 3523-3536.
    • Hardy, K. R., Atlas, D. & Glover, K. M. 1966. Multiwavelength backscatter from the clear atmosphere. J. Qeophys. Res. 71, 1537-1552.
    • Hardy, K. R., Glover, K. M. & Ottersten, H. 1969. Radar investigations of atmospheric structure and CAT in the 3 to 20 km region. In Clear air turbulence and its detection (ed. Y. H. Pa0 and A. Goldburg), pp. 402-416. Plenum Press, New York.
    • Hardy, K. R., Reed, R. J. & Mather, G. K. 1973. Observation of Kelvin-Helmholtz billows and their mesoscale environment by radar, instrumented aircraft, and a dense radiosonde network. Quart. J. R . Met. SOC.99, 438-449.
    • Hazel, P. 1972. Numerical studies of the stability of inviscid stratified shear flows. J . Fluid Mech. 51, 39.
    • Hicks, J. J. & Angell, J. K. 1968. Radar observetions of breaking gravitational waves in the visually clear atmosphere. J. Apppl. Met. 7 , 116121.
    • K&rm&n,Th. von 1921. Uber laminare und turbulente Reibung. 2. angew. Math. Mech. 1, 233-252.
    • KO, D. R. S., Kubota, T. & Lees, L. 1970. Finite disturbance effect in the stability of a laminar incompressible wake behind a flat plate. J . Fluid Mech. 40, 315.
    • Lilly, D. K. 1971. Progress in research on atmospheric turbulence. EOS, Trans. A m . Qeophy. U . 5 2 , IUGG 332-341.
    • Liu, J. T. C. 1976. Some aspects of microstructure formation by shear-induced instabilities and the propagation of internal waves in a microstructure. Abstract in I.A.P.S.O. Scientific Program, p. 87. XVI General Assembly, I.U.G.G. Grenoble, France.
    • Liu, J. T. C. & Lees, L. 1970. Finite amplitude instability of the compressible laminar wake. Strongly amplified disturbances. Phys. Fluids 13, 2932-2938.
    • Liu, J. T. C. & Merkine, L. 1973. On statically stable layer splitting in a stratified shear flow. Abstract in Bull. Am. Phys. SOC.18, 1467.
    • Liu, J. T. C. & Merkine, L. 1976. On the interaction between large-scale coherent eddies and finegrained turbulence in a free shear flow. Part I. Proo. Roy.Soc. (inpress).
    • Liu, J. T. C. & Cururaj, P. M. 1974. Finite amplitude instability of the compressible laminar wake. Comparison with experiments. Phys. Fluids 17, 632-543.
    • Ludlam, F. H. 1967. Characteristics of billow clouds and their relation to clear air turbulence. Quart. J . R . Met. SOC.93, 419-435.
    • Lumley, J. L. & Panofsky, H. A. 1974. The structure of atmospheric turbulence. Interscience Publ., New York.
    • Maslowe, S. A. & Kelly, R. E. 1971. Inviscid stabilit y of a n unbounded heterogeneous shear layer. J. Fluid Mech. 48, 405-415.
    • Mather, G. K. 1971. Flight studies of clear air turbulenc+-the current position and further research needs. I n International Conference on Atmospheric Turbulence, Royal Aeronautical Society, London.
    • Merkine, L. 1974. Problems i n nonlinear mechanics of unstable waves i n turbulent and i n stratified shear flows. Brown University, Division of Engineering, Ph.D. Thesis.
    • Metcalf, J. I. & Atlas, D. 1973. Microscale ordered motions and atmospheric structure associated with thin echo layers in stably stratified zones. Boundary Layer Met. 4 , 7-35.
    • Munk, W. H. & Garret, C. J. R. 1973. Breaking and microstructure (the chicken and the egg). Boundary Layer Met. 1,3745.
    • Phillips, 0. M. 1966. Dynamics of the Upper Ocean, p. 166. Cambridge University Press.
    • Scorer, R. S. 1972. Clowls of the world. David and Charles.
    • Stuart, J. T. 1958. On the nonlinear mechanics of hydrodynamic stability. J. Fluid Mech. 4 , 1-21.
    • Stuart, J. T., 1960. On the nonlinear mechanics of wave disturbances in stable and unstable parallel flows. J. FZuS Mech. 9, 353-370.
    • Thorpe, S. A. 1971. Experiments on the instability of stratified shear flows-miscible fluids. J. Fluid Mech. 46, 299-319.
    • Thorpe, S. A. 1973a. Turbulence in stably stratified fluids: a review of laboratory experiments. Boundary Layer Met. 5 , 95-119.
    • Thorpe, S. A. 1973b. Experiments on instability and turbulence in a stratified shear flow. J. Flwid Mech. 61, 731-751.
    • Thorpe, S. A. 1974. Private communication.
    • Townsend, A. A. 1964. Natural convection in water over a n ice surface. Quart. J . R . Met. Sac. 90, 248-259.
    • Townsend, A. A. 1965. Excitation of internal waves by a turbulent boundary layer. J . Fluid Mech. 22, 241-252.
    • Wang, Y. H. 1975. An experimental study of the instability of a stably stratified free shear layer. J. Fluid Mech. Y l , 563-575.
    • Woods, J. D. 1968. Wave-induced shear instability in the summer thermocline. J . Fluid. Mech. 32, 791-800.
    • Woods, J. D. 1972. Vertical mixing processes in the ocean. Conseil International pour 1'Exploration de la Mer, Extrait des Rapports et ProcbsVerbaux 162, 25-28.
    • Woods, J. D. & Wiley, R. L. 1972. Billow turbulence and ocean microstructure. Deep-sea Res. 19, 87-121.
    • Wu, J. 1969. Mixed region collapse with internal wave generation in a density stratified medium. J. Fluid Mech. 35. 531-544.
  • No related research data.
  • No similar publications.

Share - Bookmark

Cite this article

Collected from