Skip to main content
SpringerLink
Log in

Analytic solutions of the equations governing the temperature fluctuation method

  • Research Notes
  • Published:
Boundary-Layer Meteorology Aims and scope Submit manuscript

Abstract

With the temperature fluctuation method, the sensible heat flux and friction velocity can be evaluated from standard deviation of the temperature and horizontal wind speed at one level. In principle, for unstable conditions the governing equations have to be solved by iteration. In this note, an approximate analytic solution is presented. Also, the solution for stable situations is discussed.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • De Bruin, H. A. R.: 1982,The Energy Balance of the Earth's Surface: A Practical Approach. Ph.D thesis Wageningen Agricultural University (also K.N.M.I., Sci. Rep. 81-1).

  • De Bruin, H. A. R., Kohsiek, W., and van den Hurk, B. J. J. M.: 1993, ‘A Verification of Some Methods to Determine the Fluxes of Momentum, Sensible Heat and Water Vapour Using Standard Deviation and Structure Parameter of Scalar Meteorological Quantities’,Boundary-Layer Meteorol. 7, 231–257.

    Google Scholar 

  • Dyer, A. J.: 1974, ‘A Review of Flux-Profile Relationships’,Boundary-Layer Meteorol. 63, 363–372.

    Google Scholar 

  • Kader and Yaglom: 1990, ‘Mean Fields and Fluctuation Moments in Unstable Stratified Turbulent Boundary Layers’,J. Fluid Mech. 212, 637–662.

    Google Scholar 

  • Lloyd, C. R., Culf, A. D., Dolman, A. J., and Gash, J. H. C.: 1991, ‘Estimates of Sensible Heat Flux from Observations of Temperature Fluctuations’,Boundary-Layer Meteorol. 57, 311–322.

    Google Scholar 

  • Paulson, C. A.: 1970, ‘The Mathematical Representation of Wind and Temperature Profiles in the Unstable Atmospheric Surface Layer’,J. of Appl. Meteorol 9, 857–861.

    Google Scholar 

  • Tillman, J. E.: 1972, ‘The Indirect Determination of Stability, Heat and Momentum Fluxes in the Atmospheric Boundary Layer from Simple Scalar Variables during Dry Unstable Conditions’,J. Appl. Meteorol. 11, 783–792.

    Google Scholar 

  • Weaver, H. J.: 1990, ‘Temperature and Humidity, Flux-Variance Relation Determined by One-Dimensional Eddy-Correlation’,Boundary-Layer Meteorol. 53, 77–91.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Meteorology, Wageningen Agricultural University, Duivendaal 2, 6701 AP, Wageningen, The Netherlands

    H. A. R. de Bruin

Authors
  1. H. A. R. de Bruin
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

de Bruin, H.A.R. Analytic solutions of the equations governing the temperature fluctuation method. Boundary-Layer Meteorol 68, 427–432 (1994). https://doi.org/10.1007/BF00706800

Download citation

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00706800

Keywords

Search

Navigation