Abstract
Analysis of data collected during the Prairie Grass, Kansas and Minnesota experiments reveals the following empirical relationship between the Monin-Obukhov length L and the friction velocity u *: L = Au * 2, A = 1.1 × 103s2m-1. This result combined with the formulation for the height of the stable boundary layer h suggested by Zilitinkevich (1972) leads to h ∫ u * 3/2 f−1/2 where f is the Coriolis parameter. Data from the Minnesota study (Caughey et al., 1979) provide ample support for this expression.
These empirical equations for L and h are useful for routine dispersion estimates during stable conditions.
Similar content being viewed by others
References
Barad, M. L., (ed.): 1958, ‘Project Prairie Grass. A Field Program in Diffusion’, Geophysical Research Paper No. 59, Vols. I and II, AFCRF-TR-58–235, Air Force Cambridge Research Center, Bedford, Massachusetts.
Caughey, S. J., Wyngaard, J. C., and Kaimal, J. C.: 1979, ‘Turbulence in the Evolving Stable Boundary Layer’, J. Atmos. Sci. 36, 1041–1052.
Horst, T. W.: 1979, ‘Lagrangian Similarity Modeling of Vertical Diffusion from a Ground-Level Source’, J. Appl. Meteorol. 18, 733–740.
Horst, T. W., Doran, J. C., and Nickola, P. W.: 1979, ‘Evaluation of Empirical Atmospheric Diffusion Data’, Report No. NUREG/CR-0789, PNL-2599, Available from Division of Technical Information and Document Control, U.S. Nuclear Regulatory Commission, Washington, D.C. 20555.
Izumi, Y.: 1971, ‘Kansas 1968 Field Program Data Report’, Environmental Research Papers, No. 379, AFCRL-72–0041, Air Force Cambridge Research Laboratories, Bedford, Massachusetts.
Zilitinkevich, S. S.: 1962, ‘On the Determination of Height of the Ekman Boundary Layer’, Boundary-Layer Meteorol. 3, 141–145.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Venkatram, A. Estimating the Monin-Obukhov length in the stable boundary layer for dispersion calculations. Boundary-Layer Meteorol 19, 481–485 (1980). https://doi.org/10.1007/BF00122347
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00122347