Skip to main content
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 32
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Smith, S. and Crockett, J. 2014. Experiments on nonlinear harmonic wave generation from colliding internal wave beams. Experimental Thermal and Fluid Science, Vol. 54, p. 93.

    Sutherland, Bruce Dauxois, Thierry and Peacock, Thomas 2014. Modeling Atmospheric and Oceanic Flows.

    Xie, Xiaohui Shang, Xiaodong van Haren, Hans and Chen, Guiying 2013. Observations of enhanced nonlinear instability in the surface reflection of internal tides. Geophysical Research Letters, Vol. 40, Issue. 8, p. 1580.

    Yeates, Peter S. Gómez-Giraldo, Andrés and Imberger, Jörg 2013. Observed relationships between microstructure patches and the gradient Richardson number in a thermally stratified lake. Environmental Fluid Mechanics, Vol. 13, Issue. 3, p. 205.

    Zhang, Weifeng G. and Duda, Timothy F. 2013. Intrinsic Nonlinearity and Spectral Structure of Internal Tides at an Idealized Mid-Atlantic Bight Shelf Break. Journal of Physical Oceanography, Vol. 43, Issue. 12, p. 2641.

    Zhou, Qi and Diamessis, Peter J. 2013. Reflection of an internal gravity wave beam off a horizontal free-slip surface. Physics of Fluids, Vol. 25, Issue. 3, p. 036601.

    Ibragimov, Nail H. and Ibragimov, Ranis N. 2012. Rotationally symmetric internal gravity waves. International Journal of Non-Linear Mechanics, Vol. 47, Issue. 1, p. 46.

    Ibragimov, Ranis N and Dameron, Michael 2011. Spinning phenomena and energetics of spherically pulsating patterns in stratified fluids. Physica Scripta, Vol. 84, Issue. 1, p. 015402.

    Jiang, Chung-Hsiang and Marcus, Philip S. 2009. Selection Rules for the Nonlinear Interaction of Internal Gravity Waves. Physical Review Letters, Vol. 102, Issue. 12,

    Yeates, Peter S. Imberger, Jörg and Dallimore, C. 2008. Thermistor Chain Data Assimilation to Improve Hydrodynamic Modeling Skill in Stratified Lakes and Reservoirs. Journal of Hydraulic Engineering, Vol. 134, Issue. 8, p. 1123.

    Bardakov, R. N. Vasil'ev, A. Yu. and Chashechkin, Yu. D. 2007. Calculation and measurement of conical beams of three-dimensional periodic internal waves excited by a vertically oscillating piston. Fluid Dynamics, Vol. 42, Issue. 4, p. 612.

    Kistovich, A.V. and Chashechkin, Yu.D. 2007. Regular and singular components of periodic flows in the fluid interior. Journal of Applied Mathematics and Mechanics, Vol. 71, Issue. 5, p. 762.

    Carter, Glenn S. and Gregg, Michael C. 2006. Persistent Near-Diurnal Internal Waves Observed above a Site ofM2Barotropic-to-Baroclinic Conversion. Journal of Physical Oceanography, Vol. 36, Issue. 6, p. 1136.

    Chashechkin, Yuli D. Baydulov, Vasiliy G. and Kistovich, Anatoliy V. 2006. Basic properties of free stratified flows. Journal of Engineering Mathematics, Vol. 55, Issue. 1-4, p. 313.

    Gostiaux, Louis Dauxois, Thierry Didelle, Henri Sommeria, Joel and Viboud, Samuel 2006. Quantitative laboratory observations of internal wave reflection on ascending slopes. Physics of Fluids, Vol. 18, Issue. 5, p. 056602.

    Gostiaux, L. Didelle, H. Mercier, S. and Dauxois, T. 2006. A novel internal waves generator. Experiments in Fluids, Vol. 42, Issue. 1, p. 123.

    Imberger, J��rg 2006. Encyclopedia of Environmetrics.

    Boehrer, Bertram and Stevens, Craig 2005. Ray waves in a pit lake. Geophysical Research Letters, Vol. 32, Issue. 24,

    Peacock, Thomas and Tabaei, Ali 2005. Visualization of nonlinear effects in reflecting internal wave beams. Physics of Fluids, Vol. 17, Issue. 6, p. 061702.

    Troy, C. D. and Koseff, J. R. 2005. The generation and quantitative visualization of breaking internal waves. Experiments in Fluids, Vol. 38, Issue. 5, p. 549.

  • Journal of Fluid Mechanics, Volume 336
  • April 1997, pp. 91-122

Laboratory study of the interaction between two internal wave rays

  • S. G. TEOH (a1), G. N. IVEY (a1) and J. IMBERGER (a1)
  • DOI:
  • Published online: 01 April 1997

Laboratory experiments were conducted to study the interaction between two downward propagating internal wave rays with identical properties but opposite horizontal phase velocities. The intersection of the rays produced a velocity field with stagnation points, and these points propagated vertically upwards within the intersection region. Nonlinear non-resonant interactions between the two rays produced evanescent modes, with frequencies greater than the ambient buoyancy frequency, trapped within the intersection region. These evanescent modes provided a mechanism whereby energy could accumulate locally and, even though the vertical wavelength of the primary resultant wave remained the same, the local isopycnal displacements increased in time. Eventually, the isopycnals were forced to overturn in the region just above the stagnation points by the variation with depth in the local horizontal strain rate.

The gravitationally unstable overturning ultimately broke down releasing its available potential energy and generating turbulence within the intersection region. The results showed that the release of available potential energy was disrupted by the wave motions and even the dissipative scales were directly affected by the ambient stratification and the background wave motion. The distribution of the centred displacement scales was highly skewed towards the Kolmogorov scale and the turbulent Reynolds number Ret was low. Thus, the net buoyancy flux was very small and almost all turbulent kinetic energy was dissipated over the parameter range investigated. The results also showed that for such dissipative events the square of the strain Froude number (ε/νN20) and the turbulent Reynolds number Ret can be less than one.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *