Vertical turbulence diffusivity for weak or strong stable stratification

A theoretical relation is derived for the vertical turbulent diffusivity Kzz in weak as well as strong stable stratification. This relation expresses Kzz in terms of the buoyancy frequency (Brunt-Vaisala frequency), the energy dissipation rate e, and the characteristic energy-containing wave number k0. A previous relation was limited to strong stable stratification.

[1]  J. Kaimal,et al.  Turbulenece spectra, length scales and structure parameters in the stable surface layer , 1973 .

[2]  Geoffrey Ingram Taylor,et al.  Diffusion by Continuous Movements , 1922 .

[3]  J. Dougherty.  The anisotropy of turbulence at the meteor level , 1961 .

[4]  E. Reiter,et al.  The Structure of Clear-Air Turbulence Derived from “TOPCAT” Aircraft Measurements , 1966 .

[5]  C. Paulson,et al.  The Scaling of Vertical Temperature Gradient Spectra , 1980 .

[6]  C. Gibson.  Fossil Temperature, Salinity, and Vorticity Turbulence in the Ocean , 1980 .

[7]  R. Kraichnan.  Diffusion by a Random Velocity Field , 1970 .

[8]  F. Pasquill.  Atmospheric Diffusion and Air Pollution , 1958, Nature.

[9]  D. Lilly,et al.  Stratospheric Mixing Estimated from High-Altitude Turbulence Measurements , 1974 .

[10]  An approximate calculation of the , 1963 .

[11]  J. Weinstock.  On the Theory of Turbulence in the Buoyancy Subrange of Stably Stratified Flows , 1978 .

[12]  J. Weinstock.  Lagrangian–Eulerian relation and the independence approximation , 1976 .

[13]  J. Weinstock,et al.  Vertical Turbulent Diffusion in a Stably Stratified Fluid , 1978 .

[14]  W. Reynolds.  Computation of Turbulent Flows , 1975 .

[15]  H. Tennekes,et al.  Parameterization of the Turbulent Energy Budget at the Top of the Daytime Atmospheric Boundary Layer , 1977 .

[16]  J. Weinstock.  Nonlinear theory of acoustic‐gravity waves 1. Saturation and enhanced diffusion , 1976 .

[17]  E. V. Ashburn,et al.  High Altitude Gust Criteria for Aircraft Design , 1970 .

[18]  J. L. Lumley,et al.  The Spectrum of Nearly Inertial Turbulence in a Stably Stratified Fluid. , 1964 .

[19]  C. Hines.  INTERNAL ATMOSPHERIC GRAVITY WAVES AT IONOSPHERIC HEIGHTS , 1960 .