Analysis of Vertical Turbulent Heat Flux Limit in Stable Conditions with a Local Equilibrium, Turbulence Closure Model

Lech Łobocki


Assuming that the vertical turbulent heat flux vanishes at extremely stable conditions, one should expect its maximal absolute value to occur somewhere at moderate stability, between a neutral and extremely stable equilibrium. Consequently, in some situations duality of solutions may be encountered (e.g. two different values of temperature difference associated with the same values of heat flux and wind speed). A quantitative analysis of this feature with a local equilibrium Reynolds-stress model is presented. The fixed-wind / fixed-shear maximum has been identified both in the bulk and in single-point flux–gradient relationships (that is, in the vertical temperature gradient and wind-shear parameter domain). The value of the Richardson number corresponding to this maximum is derived from the model equations. To study the possible feedback in strongly stable conditions, weak and intense cooling scenarios have been simulated with a one-dimensional numerical, high-resolution atmospheric boundary-layer model. Despite the rapid cooling, flow decoupling at the surface has not been observed; instead, a stability-limited heat flux is maintained, with a gradual increase of the Richardson number towards the top of the turbulent layer, with some signs of oscillatory behaviour at intermediate heights. Vertical changes of wind shear and the Brunt–Väisälä frequency display a remarkably non-monotonic character, with some signs of a gradually developing instability.
Author Lech Łobocki (FEE / CEP)
Lech Łobocki,,
- Chair of Environmental Protection
Journal seriesBoundary-Layer Meteorology, ISSN 0006-8314
Issue year2013
Publication size in sheets0.7
Keywords in EnglishStable boundary layer, Surface layer, Turbulence closure, Turbulent heat flux
ASJC Classification1902 Atmospheric Science
Languageen angielski
art.pdf 826.67 KB
Score (nominal)30
Score sourcejournalList
ScoreMinisterial score = 30.0, 07-01-2020, ArticleFromJournal
Ministerial score (2013-2016) = 30.0, 07-01-2020, ArticleFromJournal
Publication indicators WoS Citations = 3; Scopus Citations = 4; GS Citations = 5.0; Scopus SNIP (Source Normalised Impact per Paper): 2013 = 1.588; WoS Impact Factor: 2013 = 2.525 (2) - 2013=2.583 (5)
Citation count*5 (2020-05-21)
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.
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