Turbulent Prandtl number and characteristic length scales in stably stratified flows : steady-state analytical solutions
| Autor: | Sukanta Basu, Albert A. M. Holtslag |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Length scale
Meteorologie en Luchtkwaliteit Steady state Richardson number Characteristic length Meteorology and Air Quality Turbulence Gradient Richardson number Fluid Dynamics (physics.flu-dyn) Stratified flows FOS: Physical sciences Physics - Fluid Dynamics Buoyancy length scale Stable boundary layer Stability (probability) Physics - Atmospheric and Oceanic Physics Atmospheric and Oceanic Physics (physics.ao-ph) Shear length scale Environmental Chemistry Anisotropy Turbulent Prandtl number Statistical physics Water Science and Technology Mathematics |
| Zdroj: | Environmental Fluid Mechanics, 21(6), 1273-1302 Environmental Fluid Mechanics, 21(6) Environmental Fluid Mechanics 21 (2021) 6 |
| ISSN: | 1567-7419 |
| Popis: | In this study, the stability dependence of turbulent Prandtl number ($$Pr_t$$ P r t ) is quantified via a novel and simple analytical approach. Based on the variance and flux budget equations, a hybrid length scale formulation is first proposed and its functional relationships to well-known length scales are established. Next, the ratios of these length scales are utilized to derive an explicit relationship between $$Pr_t$$ P r t and gradient Richardson number. In addition, theoretical predictions are made for several key turbulence variables (e.g., dissipation rates, normalized fluxes). The results from our proposed approach are compared against other competing formulations as well as published datasets. Overall, the agreement between the different approaches is rather good despite their different theoretical foundations and assumptions. |
| Databáze: | OpenAIRE |
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