Abstract
The nonlocality of the mechanism of turbulent heat transfer in the atmospheric boundary layer over a rough surface manifests itself in the form of bounded areas of countergradient heat transfer, which are diagnosed from analysis of balance items in the transport equation for the variance of temperature fluctuations and from calculation of the coefficients of turbulent momentum and heat transfer invoking the model of “gradient diffusion.” It is shown that countergradient heat transfer in local regions is caused by turbulent diffusion or by the term of the divergence of triple correlation in the balance equation for the temperature variance.
Similar content being viewed by others
References
J. W. Deardorff, “The Counter-Gradient Heat-Flux in the Lower Atmosphere and in the Laboratory,” J. Atmos. Sci. 23, 503–506 (1966).
J. C. Andre, G. De Moor, P. Lacarrere, et al., “Modeling the 24-Hour Evolution of the Mean and Turbulent Structures of the Planetary Boundary Layer,” J. Atmos. Sci. 35, 1861–1883 (1978).
A. F. Kurbatskii, Modeling Nonlocal Turbulent Momentum and Heat Transfer (Nauka, Novosibirsk, 1988) [in Russian].
S. Zilitinkevich, V. M. Gryanik, V. N. Lykossov, et al., “Third-Order Transport and Non-Local Turbulence Closures for Convective Boundary Layers,” J. Atmos. Sci. 56, 3463–3477 (1999).
V. M. Canuto, F. Minotti, C. Ronchi, et al., “Second-Order Closure PBL Model with New Third-Order Moments: Comparison with LES Data,” J. Atmos. Sci. 51, 1605–1618 (1994).
A. F. Kurbatskii and L. I. Kurbatskaya, “Three-Parameter Model of Turbulence for the Atmospheric Boundary Layer over an Urbanized Surface,” Izv. Akad. Nauk, Fiz. Atm. Okeana 42, 476–494 (2006) [Izv., Atmos. Ocean. Phys. 42, 439–455 (2006)].
Y. Cheng, V. M. Canuto, and A. M. Howard, “An Improved Model for the Turbulent PBL,” J. Atmos. Sci. 59, 1500–1565 (2002).
T. C. Vu, Y. Ashie, and T. Asaeda, “A k — ε Turbulence Closure Model for the Atmospheric Boundary Layer Including Urban Canopy,” Boundary-Layer Meteorol. 102, 459–490 (2002).
C.-H. Moeng and J. C. Wyngaard, “Spectral Analysis of Large-Eddy Simulations of the Convective Boundary Layer,” J. Atmos. Sci. 45, 3574–3587 (1988).
F. T. M. Nieuwstadt, “Direct and Large-Eddy Simulation of Free Convection,” in Proceedings of 9th International Heat Transfer Conference, Jerusalem 1990 (American Society of Mechanical Engineering, New York, 1990), Vol. 1, pp. 37–47.
D. H. Lenshow and J. C. Wyngaard, “Mean-Field and Second-Moment Budgets in a Baroclinic, Convective Boundary Layer,” J. Atmos. Sci. 37, 1313–1326 (1980).
G. L. Mellor and T. Yamada, “A Hierarchy of Turbulence Closure Models for Planetary Boundary Layer,” J. Atmos. Sci. 31, 1791–1806 (1974).
A. Martilli, A. Clappier, and M. W. Rotach, “An Urban Exchange Parameterization for Mesoscale Models,” Boundary-Layer Meteorol. 104, 261–304 (2002).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © A.F. Kurbatskiy, 2008, published in Izvestiya AN. Fizika Atmosfery i Okeana, 2008, Vol. 44, No. 2, pp. 171–177.
Rights and permissions
About this article
Cite this article
Kurbatskiy, A.F. Countergradient heat transfer in the atmospheric boundary layer over a rough surface. Izv. Atmos. Ocean. Phys. 44, 160–166 (2008). https://doi.org/10.1134/S0001433808020035
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0001433808020035