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On the Velocity Gradient in Stably Stratified Sheared Flows. Part 1: Asymptotic Analysis and Applications |
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| Authors: | S S Zilitinkevich I Esau N Kleeorin I Rogachevskii R D Kouznetsov |
| Institution: | 1. Finnish Meteorological Institute, Helsinki, Finland 2. G.C. Rieber Climate Institute, Nansen Environmental and Remote Sensing Centre, Bergen, Norway 3. A.M. Obukhov Institute of Atmospheric Physics, Moscow, Russia 4. Department of Physics, University of Helsinki, Helsinki, Finland 5. Bjerknes Centre for Climate Research, Bergen, Norway 6. Department of Mechanical Engineering, Ben-Gurion University of the Negev, Beer-Sheva, Israel |
| Abstract: | We give a new derivation of the familiar linear relation for the dimensionless velocity gradient in the stably stratified surface layer and provide physical and empirical grounds for its universal applicability in stationary homogeneous turbulence over the whole range of static stabilities from Ri = 0 to very large Ri. Combining this relation with the budget equation for the turbulent kinetic energy we obtain the “equilibrium formulation” of the turbulent dissipation length scale, and recommend it for use in turbulence closure models. |
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