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Scaling Properties of Velocity and Temperature Spectra Above the Surface Friction Layer in a Convective Atmospheric Boundary Layer : Volume 14, Issue 3 (11/06/2007)

By McNaughton, K. G.

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Book Id: WPLBN0004019823
Format Type: PDF Article :
File Size: Pages 15
Reproduction Date: 2015

Title: Scaling Properties of Velocity and Temperature Spectra Above the Surface Friction Layer in a Convective Atmospheric Boundary Layer : Volume 14, Issue 3 (11/06/2007)  
Author: McNaughton, K. G.
Volume: Vol. 14, Issue 3
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Copernicus GmbH
Historic
Publication Date:
2007
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications

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Moncrieff, J. B., Mcnaughton, K. G., & Clement, R. J. (2007). Scaling Properties of Velocity and Temperature Spectra Above the Surface Friction Layer in a Convective Atmospheric Boundary Layer : Volume 14, Issue 3 (11/06/2007). Retrieved from http://hawaiilibrary.net/


Description
Description: School of GeoSciences, The University of Edinburgh, Edinburgh EH9 3JU, Scotland. We report velocity and temperature spectra measured at nine levels from 1.42 meters up to 25.7 m over a smooth playa in Western Utah. Data are from highly convective conditions when the magnitude of the Obukhov length (our proxy for the depth of the surface friction layer) was less than 2 m. Our results are somewhat similar to the results reported from the Minnesota experiment of Kaimal et al. (1976), but show significant differences in detail. Our velocity spectra show no evidence of buoyant production of kinetic energy at at the scale of the thermal structures. We interpret our velocity spectra to be the result of outer eddies interacting with the ground, not local free convection.

We observe that velocity spectra represent the spectral distribution of the kinetic energy of the turbulence, so we use energy scales based on total turbulence energy in the convective boundary layer (CBL) to collapse our spectra. For the horizontal velocity spectra this scale is (zi Εo)2/3, where zi is inversion height and Εo is the dissipation rate in the bulk CBL. This scale functionally replaces the Deardorff convective velocity scale. Vertical motions are blocked by the ground, so the outer eddies most effective in creating vertical motions come from the inertial subrange of the outer turbulence. We deduce that the appropriate scale for the peak region of the vertical velocity spectra is (z Εo)2/3 where z is height above ground. Deviations from perfect spectral collapse under these scalings at large and small wavenumbers are explained in terms of the energy transport and the eddy structures of the flow.

We find that the peaks of the temperature spectra collapse when wavenumbers are scaled using (z1/2 zi1/2). That is, the lengths of the thermal structures depend on both the lengths of the transporting eddies, ~9z, and the progressive aggregation of the plumes with height into the larger-scale structures of the CBL. This aggregation depends, in top-down fashion, on zi. The whole system is therefore highly organized, with even the smallest structures conforming to the overall requirements of the whole flow.


Summary
Scaling properties of velocity and temperature spectra above the surface friction layer in a convective atmospheric boundary layer

Excerpt
Cava, D., Schipa, S. and Giostra, U.: Investigation of low-frequency perturbations induced by a steep obstacle, Bound.-Lay. Meteorol., 115, 27–45, 2005.; Corrsin, S.: On the spectrum of isotropic temperature fluctuations in an isotropic turbulence, J. Appl. Phys., 22, 469–473, 1951.; Deardorff, W J.: Preliminary results from numerical integrations of the unstable boundary layer, J. Atmos. Sci., 27, 1209–1231, 1970.; DeGraaff, D B. and Eaton, J K.: Reynolds-number scaling of the flat-plate turbulent boundary layer, J. Fluid Mech. 422, 319–346, 2000.; Derksen, W J.: Thermal infrared pictures and the mapping of microclimate, Neth. J. Agric. Sci., 22, 119–132, 1974.; Holtslag, A A M. and Nieuwstadt, F T M.: Scaling the atmospheric boundary layer, Bound.-Lay. Meteorol., 36, 201–209, 1986.; Hunt, J C R. and Morrison, J F.: Eddy structure in turbulent boundary layers, Euro. J. Mech. B D Fluids, 19, 673–694, 2000.; Kader, B A. and Yaglom, A M.: Mean fields and fluctuation moments in unstably stratified turbulent boundary layers, J. Fluid Mech., 212, 637–662, 1990.; Kaimal, J C. and Businger, J A.: Case studies of a convective plume and a dust devil, J. Appl. Meteorol. 9, 612–620, 1970.; Kaimal, J C. and Finnigan, J. J.: Atmospheric boundary layer flows, Oxford University Press, New York, 1994.; Kaimal, J C. and Wyngaard, J C.: The Kansas and Minnesota experiments, Bound.-Lay. Meteorol. 50, 31–47, 1990.; Kaimal, J C., Wyngaard, J C., and Haugen, D. A.: Deriving power spectra from a three-component sonic anemometer, J. Appl. Meteorol., 7, 827–837,1968.; Kaimal, J C., Wyngaard, J C., Izumi, Y., and Coté O R.: Spectral characteristics of surface-layer turbulence, Q. J. Roy. Meteor. Soc., 98, 563–589, 1972.; Kaimal, J C., Wyngaard, J C., Haugen, D A., Coté, O R., Izumi, Y., Caughy, S J., and Readings, C. J.: Turbulence structure in the convective boundary layer, J. Atmos. Sci., 33, 2152–2169, 1976.; Khalsa, S J S.: Surface-layer intermittency investigated with conditional sampling, Bound.-Lay. Meteorol., 19, 135–153, 1980.; Khanna, S. and Brasseur, J G.: Three-dimensional buoyancy- and shear-induced local structure of the atmospheric boundary layer, J. Atmos. Sci., 55, 710–743, 1998.; Klewicki, J C., Metzger, M M., Kelner, E., and Thurlow, E M.: Viscous sublayer flows at $R_\theta =1 500 000$, Phys. Fluids, 7, 857–863, 1995.; Lumley, J L. and Panofsky, H A.: The structure of atmospheric turbulence, Interscience, New York, 1964.; McNaughton, K G.: Attached eddies and production spectra in the atmospheric logarithmic layer, Bound.-Lay. Meteorol., 111, 1–18, 2004a.; McNaughton, K G.: Turbulence structure of the unstable atmospheric surface layer and transition to the outer layer, Bound.-Lay. Meteorol., 112, 199–221, 2004b.; McNaughton, K G.: On the kinetic energy budget of the unstable atmospheric surface layer, Bound.-Lay. Meteorol., 118, 83–107, 2006.; McNaughton, K G. and Brunet, Y.: Townsend's hypothesis, coherent structures and Monin-Obukhov similarity, Bound.-Lay. Meteorol., 102, 161–175, 2002.; McNaughton, K G. and Laubach, J.: Power spectra and cospectra for wind and scalars in a disturbed surface layer at the base of an advective inversion, Bound.-Lay. Meteorol., 96, 143–185, 2000.; Mehta, R D. and Bradshaw, P.: Longitudinal vortices embedded in turbulent boundary layers Part 2. Vortex pair with common flow upwards, J. Fluid Mech., 188, 529–546, 1988.; Metzger, M.: Length and time scales of the near-surface axial velocity in a high Reynolds number turbulent boundary layer, Int. J. Heat Fluid Flow, 27, 534–541, 2006.; Monin, A S. and Yaglom, A M.: Statistical Fluid Mechanics: Mechanics of Turbulence, Vol 1, English translation, edited by: Lumley, J. L., MIT Press, Cambridge, MA, 769 pp., 1971.; Pope, S B.: T

 

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