The Scaling and Structure of the Estuarine Bottom Boundary Layer

Mark T. Stacey Department of Civil and Environmental Engineering, University of California, Berkeley, Berkeley, California

Search for other papers by Mark T. Stacey in
Current site
Google Scholar
PubMed
Close
and
David K. Ralston Department of Civil and Environmental Engineering, University of California, Berkeley, Berkeley, California

Search for other papers by David K. Ralston in
Current site
Google Scholar
PubMed
Close
Restricted access

Abstract

A two-week dataset from a partially and periodically stratified estuary quantifies variability in the turbulence across the tidal and spring–neap time scales. These observations have been fit with a two-parameter model of the Reynolds stress profile, which produces estimates of the time variation of the bottom boundary layer height and the friction velocity. Conditions at the top of the bottom boundary layer indicate that the dynamics governing the development of the estuarine bottom boundary layer are different on ebb tides than on flood tides. The asymmetry in the flow is explained by consideration of the strain-induced buoyancy flux, which is stabilizing on ebb tides and destabilizing on flood tides. Based on these observations, a scaling approach to estimating estuarine bottom boundary layer parameters (height and friction velocity) is presented, which includes a modified Monin–Obukhov length scale to account for the horizontal buoyancy flux created by the sheared advection. Comparison with the observations of boundary layer height and friction velocity suggests that this approach may be successful in predicting bottom boundary layer parameters in estuaries and coastal regions with significant horizontal buoyancy fluxes. Comparison between the strain-induced buoyancy flux and shear production indicates that the straining of the density field is an important contributor to the turbulent kinetic energy budget and creates an asymmetry in turbulent energy between ebb and flood tides. It appears that the structure of the turbulence, specifically the ratio of the Reynolds stress to the turbulent energy, is also modified by tidal straining, further accentuating the ebb–flood asymmetries.

Corresponding author address: Dr. Mark T. Stacey, University of California, Berkeley, Environmental Fluid Mechanics, 631 Davis Hall #1710, Berkeley, CA 94720-1710. Email: mstacey@socrates.berkeley.edu

Abstract

A two-week dataset from a partially and periodically stratified estuary quantifies variability in the turbulence across the tidal and spring–neap time scales. These observations have been fit with a two-parameter model of the Reynolds stress profile, which produces estimates of the time variation of the bottom boundary layer height and the friction velocity. Conditions at the top of the bottom boundary layer indicate that the dynamics governing the development of the estuarine bottom boundary layer are different on ebb tides than on flood tides. The asymmetry in the flow is explained by consideration of the strain-induced buoyancy flux, which is stabilizing on ebb tides and destabilizing on flood tides. Based on these observations, a scaling approach to estimating estuarine bottom boundary layer parameters (height and friction velocity) is presented, which includes a modified Monin–Obukhov length scale to account for the horizontal buoyancy flux created by the sheared advection. Comparison with the observations of boundary layer height and friction velocity suggests that this approach may be successful in predicting bottom boundary layer parameters in estuaries and coastal regions with significant horizontal buoyancy fluxes. Comparison between the strain-induced buoyancy flux and shear production indicates that the straining of the density field is an important contributor to the turbulent kinetic energy budget and creates an asymmetry in turbulent energy between ebb and flood tides. It appears that the structure of the turbulence, specifically the ratio of the Reynolds stress to the turbulent energy, is also modified by tidal straining, further accentuating the ebb–flood asymmetries.

Corresponding author address: Dr. Mark T. Stacey, University of California, Berkeley, Environmental Fluid Mechanics, 631 Davis Hall #1710, Berkeley, CA 94720-1710. Email: mstacey@socrates.berkeley.edu

Save
  • Arya, S. P., 1999: Air Pollution Meteorology and Dispersion. Oxford University Press, 310 pp.

  • Burchard, H., O. Petersen, and T. P. Rippeth, 1998: Comparing the performance of the Mellor–Yamada and the kϵ two-equation turbulence models. J. Geophys. Res., 103 , 1054310554.

    • Search Google Scholar
    • Export Citation
  • Cudaback, C. N., and D. A. Jay, 2000: Tidal asymmetry in an estuarine pycnocline. Part I: Depth and thickness. J. Geophys. Res., 105 , 2623726257.

    • Search Google Scholar
    • Export Citation
  • Deardorff, J. W., and G. E. Willis, 1967: Investigation of turbulent thermal convection between horizontal plates. J. Fluid Mech., 28 , 675704.

    • Search Google Scholar
    • Export Citation
  • DeBoor, C., 1978: A Practical Guide to Splines. Springer-Verlag, 392 pp.

  • Fischer, H. B., E. J. List, R. C. Y. Koh, J. Imberger, and N. H. Brooks, 1979: Mixing in Inland and Coastal Waters. Academic Press, 483 pp.

    • Search Google Scholar
    • Export Citation
  • Geyer, W. R., J. H. Trowbridge, and M. M. Bowen, 2000: The dynamics of a partially mixed estuary. J. Phys. Oceanogr., 30 , 20352048.

  • Gregg, M. C., 1987: Diapycnal mixing in the thermocline: A review. J. Geophys. Res., 92 , 52495286.

  • Itsweire, E. C., J. R. Koseff, D. A. Briggs, and J. H. Ferziger, 1993: Turbulence in stratified shear flows: Implications for interpreting shear-induced mixing in the ocean. J. Phys. Oceanogr., 23 , 15081522.

    • Search Google Scholar
    • Export Citation
  • Jay, D. A., and J. D. Smith, 1990a: Residual circulation in shallow estuaries. Part 1: Highly stratified, narrow estuaries. J. Geophys. Res., 95 , 711731.

    • Search Google Scholar
    • Export Citation
  • Jay, D. A., and J. D. Smith, 1990b: Residual circulation in shallow estuaries. Part 2: Weakly stratified and partially mixed, narrow estuaries. J. Geophys. Res., 95 , 733748.

    • Search Google Scholar
    • Export Citation
  • Lacy, J., M. T. Stacey, J. R. Burau, and S. G. Monismith, 2003: The interaction of lateral baroclinic forcing and turbulence in an estuary. J. Geophys. Res., 108 .3089, doi:10.1029/2002JC2001392.

    • Search Google Scholar
    • Export Citation
  • Lu, Y. Y., and R. G. Lueck, 1999: Using a broadband ADCP in a tidal channel. Part II: Turbulence. J. Atmos. Oceanic Technol., 16 , 15681579.

    • Search Google Scholar
    • Export Citation
  • Lu, Y. Y., R. G. Lueck, and D. Y. Huang, 2000: Turbulence characteristics in a tidal channel. J. Phys. Oceanogr., 30 , 855867.

  • Monin, A. S., and A. M. Obukhov, 1954: Basic laws of turbulent mixing in the ground layer of the atmosphere. Acad. Sci. USSR Leningr. Geophys. Inst., 24 , 163187.

    • Search Google Scholar
    • Export Citation
  • Monismith, S. G., J. R. Burau, and M. T. Stacey, 1996: Stratification dynamics and gravitational circulation in northern San Francisco Bay. San Francisco Bay: The Ecosystem, T. Hollibaugh, Ed., Pacific Division of the American Association for the Advancement of Science, 1–31.

    • Search Google Scholar
    • Export Citation
  • Peters, H., and R. Bokhorst, 2000: Microstructure observations of turbulent mixing in a partially mixed estuary. Part I: Dissipation rate. J. Phys. Oceanogr., 30 , 12321244.

    • Search Google Scholar
    • Export Citation
  • Peters, H., and R. Bokhorst, 2001: Microstructure observations of turbulent mixing in a partially mixed estuary. Part II: Salt flux and stress. J. Phys. Oceanogr., 31 , 11051119.

    • Search Google Scholar
    • Export Citation
  • Rippeth, T. P., N. R. Fisher, and J. H. Simpson, 2001: The cycle of turbulent dissipation in the presence of tidal straining. J. Phys. Oceanogr., 31 , 24582471.

    • Search Google Scholar
    • Export Citation
  • Rippeth, T. P., E. Williams, and J. H. Simpson, 2002: Reynolds stress and turbulent energy production in a tidal channel. J. Phys. Oceanogr., 32 , 12421251.

    • Search Google Scholar
    • Export Citation
  • Simpson, J. H., J. Brown, J. Matthews, and G. Allen, 1990: Tidal straining, density currents, and stirring in the control of estuarine stratification. Estuaries, 13 , 125132.

    • Search Google Scholar
    • Export Citation
  • Stacey, M. T., 1996: Turbulent mixing and residual circulation in a partially stratified estuary. Ph.D. thesis, Stanford University, 209 pp.

  • Stacey, M. T., S. G. Monismith, and J. R. Burau, 1999a: Observations of turbulence in a partially stratified estuary. J. Phys. Oceanogr., 29 , 19501970.

    • Search Google Scholar
    • Export Citation
  • Stacey, M. T., S. G. Monismith, and J. R. Burau, 1999b: Measurements of Reynolds stress profiles in unstratified tidal flow. J. Geophys. Res., 104 , 1093310949.

    • Search Google Scholar
    • Export Citation
  • Stacey, M. T., J. R. Burau, and S. G. Monismith, 2001: Creation of residual flows in a partially stratified estuary. J. Geophys. Res., 106 , 1701317037.

    • Search Google Scholar
    • Export Citation
  • Townsend, A. A., 1976: The Structure of Turbulent Shear Flow. Cambridge University Press, 429 pp.

  • Trowbridge, J. H., and S. J. Lentz, 1991: Asymmetric behavior of an oceanic boundary layer above a sloping bottom. J. Phys. Oceanogr., 21 , 11711185.

    • Search Google Scholar
    • Export Citation
  • Turner, J. S., 1973: Buoyancy Effects in Fluids. Cambridge University Press, 367 pp.

All Time Past Year Past 30 Days
Abstract Views 0 0 0
Full Text Views 1145 647 52
PDF Downloads 664 183 8