Skip to main content
Log in

SHEBA flux–profile relationships in the stable atmospheric boundary layer

  • Original Paper
  • Published:
Boundary-Layer Meteorology Aims and scope Submit manuscript

Abstract

Measurements of atmospheric turbulence made during the Surface Heat Budget of the Arctic Ocean Experiment (SHEBA) are used to examine the profile stability functions of momentum, φ m , and sensible heat, φ h , in the stably stratified boundary layer over the Arctic pack ice. Turbulent fluxes and mean meteorological data that cover different surface conditions and a wide range of stability conditions were continuously measured and reported hourly at five levels on a 20-m main tower for 11 months. The comprehensive dataset collected during SHEBA allows studying φ m and φ h in detail and includes ample data for the very stable case. New parameterizations for φ m (ζ) and φ h (ζ) in stable conditions are proposed to describe the SHEBA data; these cover the entire range of the stability parameter ζ = z/L from neutral to very stable conditions, where L is the Obukhov length and z is the measurement height. In the limit of very strong stability, φ m follows a ζ 1/3 dependence, whereas φ h initially increases with increasing ζ, reaches a maximum at ζ ≈ 10, and then tends to level off with increasing ζ. The effects of self-correlation, which occur in plots of φ m and φ h versus ζ, are reduced by using an independent bin-averaging method instead of conventional averaging.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Andreas EL (2002) Parameterizing scalar transfer over snow and ice: a review. J Hydrometeorol 3:417–432

    Article  Google Scholar 

  • Andreas EL, Hicks BB (2002) Comments on critical test of the validity of Monin-Obukhov similarity during convective conditions. J Atmos Sci 59:2605–2607

    Article  Google Scholar 

  • Andreas EL, Fairall CW, Guest PS, Persson POG (1999) An overview of the SHEBA atmospheric surface flux program. 13th symposium on boundary layers and turbulence. Dallas, TX, Amer Meteorol Soc, Proceedings, pp 550–555

  • Andreas EL, Claffey KJ, Makshtas AP (2000) Low-level atmospheric jets and inversions over the Western Weddell Sea. Boundary-Layer Meteorol 97:459–486

    Article  Google Scholar 

  • Andreas EL, Claffey KJ, Jordan RE, Fairall CW, Guest PS, Persson POG, Grachev AA (2006) Evaluations of the von Kármán constant in the atmospheric surface layer. J Fluid Mech 559: 117–149

    Article  Google Scholar 

  • Andreas EL, Guest PS, Persson POG, Fairall CW, Horst TW, Moritz RE, Semmer SR (2002) Near-surface water vapor over sea ice is always near ice saturation. J Geophys Res 107(C10), doi: 10.1029/2000JC000411

  • Andreas EL, Fairall CW, Grachev AA, Guest PS, Horst TW, Jordan RE, Persson POG (2003) Turbulent transfer coefficients and roughness lengths over sea ice: the SHEBA results. In Seventh conference on polar meteorology and oceanography and joint symposium on high-latitude climate variations, American Meteorological Society. 12–16 May 2003, Hyannis, Massachusetts, AMS Preprint CD-ROM

  • Beljaars ACM, Holtslag AAM (1991) Flux parameterization over land surfaces for atmospheric models. J Appl Meteorol 30(3):327–341

    Article  Google Scholar 

  • Businger JA, Wyngaard JC, Izumi Y, Bradley EF (1971) Flux–profile relationships in the atmospheric surface layer. J Atmos Sci 28:181–189

    Article  Google Scholar 

  • Carl MD, Tarbell TC, Panofsky HA (1973) Profiles of wind and temperature from towers over homogeneous terrain. J Atmos Sci 30:788–794

    Article  Google Scholar 

  • Cheng Y, Brutsaert W (2005) Flux–profile relationships for wind speed and temperature in the stable atmospheric boundary layer. Boundary-Layer Meteorol 114(3):519–538

    Article  Google Scholar 

  • Clement RJ (2004) Mass and energy exchange of a plantation forest in Scotland using micrometeorological methods. PhD Thesis, The University of Edinburgh, School of Geosciences, 597 p. (http://www.geos.ed.ac.uk/homes/rclement/PHD/)

  • Dyer AJ (1974) A review of flux–profile relationships. Boundary-Layer Meteorol. 7:363–372

    Article  Google Scholar 

  • Dyer AJ, Bradley EF (1982) An alternative analysis of flux–gradient relationships at the 1976 ITCE. Boundary-Layer Meteorol 22:3–19

    Article  Google Scholar 

  • Dyer AJ, Hicks BB (1970) Flux–gradient relationships in the constant flux layer. Quart J Roy Meteorol Soc 96:715–721

    Article  Google Scholar 

  • Forrer J, Rotach MW (1997) On the turbulence structure in the stable boundary layer over the Greenland ice sheet. Boundary-Layer Meteorol 85:111–136

    Article  Google Scholar 

  • Garratt JR (1992) The atmospheric boundary layer. Cambridge University Press, Cambridge, 316 pp

    Google Scholar 

  • Grachev AA, Fairall CW, Persson POG, Andreas EL, Guest PS (2002) Stable boundary-layer regimes observed during the SHEBA Experiment. In 15th symposium on boundary layers and turbulence. Wageningen, The Netherlands, Amer. Meteorol. Soc., Proc., 374 – 377

  • Grachev AA, Fairall CW, Persson POG, Andreas EL, Guest PS, Jordan RE (2003) Turbulence decay in the stable arctic boundary layer. In Seventh conference on polar meteorology and oceanography and joint symposium on high-latitude climate variations. Hyannis, Massachusetts, Amer. Meteorol. Soc., Preprint CD-ROM

  • Grachev AA, Fairall CW, Persson POG, Andreas EL, Guest PS (2005) Stable boundary-layer scaling regimes: The SHEBA data. Boundary-Layer Meteorol 116(2):201–235

    Article  Google Scholar 

  • Hartogensis OK, De Bruin HAR (2005) Monin–Obukhov similarity functions of the structure parameter of temperature and turbulent kinetic energy dissipation rate in the stable boundary layer. Boundary-Layer Meteorol 116(2):253–276

    Article  Google Scholar 

  • Hicks BB (1978) Comments on ‘The characteristics of turbulent velocity components in the surface layer under convective conditions’. by H. A. Panofsky, et al. Boundary-Layer Meteorol. 15(2):255–258

    Article  Google Scholar 

  • Högström U (1988) Non-dimensional wind and temperature profiles in the atmospheric surface layer: a re-evaluation. Boundary-Layer Meteorol 42:55–78

    Article  Google Scholar 

  • Holtslag AAM, De Bruin HAR (1988) Applied modeling of the nighttime surface energy balance over land. J Appl Meteorol 27:689–704

    Article  Google Scholar 

  • Holtslag AAM, Nieuwstadt FTM (1986) Scaling the atmospheric boundary layer. Boundary-Layer Meteorol 36:201–209

    Article  Google Scholar 

  • Horst T (2000) On frequency response corrections for eddy covariance flux measurements. Boundary-Layer Meteorol 94(3):517–520

    Article  Google Scholar 

  • Howell JF, Sun J (1999) Surface-layer fluxes in stable conditions. Boundary-Layer Meteorol 90:495–520

    Article  Google Scholar 

  • Kader BA, Yaglom AM (1990) Mean fields and fluctuation moments in unstably stratified turbulent boundary layers. J Fluid Mech 212:637–662

    Article  Google Scholar 

  • Kaimal JC, Finnigan JJ (1994) Atmospheric boundary layer flows: their structure and measurements. Oxford University Press, New York Oxford, 289 pp

    Google Scholar 

  • King JC (1990) Some measurements of turbulence over an Antarctic shelf. Quart J Roy Meteorol Soc 116:379–400

    Article  Google Scholar 

  • Klipp CL, Mahrt L (2004) Flux–gradient relationship, self-correlation and intermittency in the stable boundary layer. Quart J Roy Meteorol Soc 130(601):2087–2103

    Article  Google Scholar 

  • Kondo J, Kanechika O, Yasuda N (1978) Heat and momentum transfers under strong stability in the atmospheric surface layer. J Atmos Sci 35:1012–1021

    Article  Google Scholar 

  • Kristensen L, Fitzjarrald DR (1984) The effect of line averaging on scalar flux measurements with a sonic anemometer near the surface. J Atmos Oceanic Technol 1(3):138–146

    Article  Google Scholar 

  • Mahrt L (1999) Stratified atmospheric boundary layers. Boundary-Layer Meteorol 90:375–396

    Article  Google Scholar 

  • Mahrt L, Vickers D (2002) Contrasting vertical structures of nocturnal boundary layers. Boundary-Layer Meteorol 105:351–363

    Article  Google Scholar 

  • Mahrt L, Sun J, Blumen W, Delany T, Oncley S (1998) Nocturnal boundary-layer regimes. Boundary-Layer Meteorol 88:255–278

    Article  Google Scholar 

  • Massman WJ (2000) A simple method for estimating frequency response corrections for eddy covariance systems. Agric Forest Meteorol 104:185–198

    Article  Google Scholar 

  • Monin AS, Obukhov AM (1954) Basic laws of turbulent mixing in the surface layer of the atmosphere. Trudy Geofiz Inst Acad Nauk SSSR 24:163–187

    Google Scholar 

  • Monin AS, Yaglom AM (1971) Statistical fluid mechanics: mechanics of turbulence, vol 1. MIT Press, Cambridge, Massachusetts, 769 pp

  • Moore CJ (1986) Frequency response corrections for eddy correlation systems. Boundary-Layer Meteorol 37(1–2):17–36

    Article  Google Scholar 

  • Nieuwstadt FTM (1984) The turbulent structure of the stable, nocturnal boundary layer. J Atmos Sci 41:2202–2216

    Article  Google Scholar 

  • Obukhov AM (1946) Turbulence in an atmosphere with a non-uniform temperature. Trudy Inst Teoret Geofiz Akad Nauk SSSR 1:95–115

    Google Scholar 

  • Obukhov AM (1971) Turbulence in an atmosphere with a non-uniform temperature. Boundary-Layer Meteorol 2:2–29

    Article  Google Scholar 

  • Panofsky HA (1963) Determination of stress from wind and temperature measurements. Quart J Roy Meteorol Soc 89:85–94

    Article  Google Scholar 

  • Pahlow M, Parlange MB, Porté-Agel F (2001) On Monin–Obukhov similarity in the stable atmospheric boundary layer. Boundary-Layer Meteorol. 99:225–248

    Article  Google Scholar 

  • Paulson CA (1970) The mathematical representation of wind speed and temperature profiles in the unstable atmospheric surface layer. J Appl Meteorol 9:857–861

    Article  Google Scholar 

  • Paw UKT, Baldocchi DD, Meyers TP, Wilson KB (2000) Correction of eddy-covariance measurements incorporating both advective effects and density fluxes. Boundary-Layer Meteorol 97(3):487–511

    Article  Google Scholar 

  • Persson POG, Fairall CW, Andreas EL, Guest PS, Perovich DK (2002) Measurements near the atmospheric surface flux group tower at SHEBA: near-surface conditions and surface energy budget. J Geophys Res 107(C10):8045, doi: 10.1029/2000JC000705

    Article  Google Scholar 

  • Smedman A-S (1988) Observations of a multi-level turbulence structure in a very stable atmospheric boundary layer. Boundary-Layer Meteorol 44:231–253

    Article  Google Scholar 

  • Sorbjan Z (1989) Structure of the atmospheric boundary layer. Prentice-Hall, New Jersey, 317 pp

    Google Scholar 

  • Uttal T, 27 co-authors (2002) Surface heat budget of the Arctic ocean. Bull Am Meteorol Soc 83:255–276

    Article  Google Scholar 

  • Webb EK (1970) Profile relationships: the log-linear range, and extension to strong stability. Quart J Roy Meteorol Soc 96:67–90

    Article  Google Scholar 

  • Wilczak JM, Oncley SP, Stage SA (2001) Sonic anemometer tilt correction algorithms. Boundary-Layer Meteorol 99(1):127–150

    Article  Google Scholar 

  • Wilson DK (2001) An alternative function for the wind and temperature gradients in unstable surface layers. Boundary-Layer Meteorol 99:151–158

    Article  Google Scholar 

  • Wyngaard JC (1973) On surface-layer turbulence. In: Haugen DA (eds) Workshop on micrometeorology. American Meteorology Society, Boston, Mass, pp 101–149

    Google Scholar 

  • Wyngaard JC, Coté OR (1972) Cospectral similarity in the atmospheric surface layer. Quart J Roy Meteorol Soc 98:590–603

    Article  Google Scholar 

  • Yaglom AM (1977) Comments on wind and temperature flux–profile relationships. Boundary-Layer Meteorol 11:89–102

    Article  Google Scholar 

  • Yagüe C, Maqueda G, Rees JM (2001) Characteristics of turbulence in the lower atmosphere at Halley IV Station, Antarctica. Dyn Atmos Ocean 34:205–223

    Article  Google Scholar 

  • Yagüe C, Viana S, Maqueda G, Redondo JM (2006) Influence of stability on the flux–profile relationships for wind speed, φ m , and temperature, φ h , for the stable atmospheric boundary layer. Nonlin Processes Geophys 13(2):185–203

    Article  Google Scholar 

  • Zilitinkevich S, Baklanov A (2002) Calculation of the height of the stable boundary layer in practical applications. Boundary-Layer Meteorol 105:389–409

    Article  Google Scholar 

  • Zilitinkevich S, Calanca P (2000) An extended similarity-theory for the stably stratified atmospheric surface layer. Quart J Roy Meteorol Soc 126:1913–1923

    Article  Google Scholar 

  • Zilitinkevich SS, Chalikov DV (1968) Determining the universal wind-velocity and temperature profiles in the atmospheric boundary layer. Izvestiya Acad Sci USSR Atmos Oceanic Phys 4:165–170(English Edition)

    Google Scholar 

  • Zilitinkevich S, Mironov DV (1996) A multi-limit formulation for the equilibrium depth of a stably stratified boundary layer. Boundary-Layer Meteorol 81:325–351

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Andrey A. Grachev.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Grachev, A.A., Andreas, E.L., Fairall, C.W. et al. SHEBA flux–profile relationships in the stable atmospheric boundary layer. Boundary-Layer Meteorol 124, 315–333 (2007). https://doi.org/10.1007/s10546-007-9177-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10546-007-9177-6

Keywords

Navigation