Kolmogorov constant: Difference between revisions

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|Meaning=The proportionality constant &#x003b1; in Kolmogorov theory, which states that the  spectral [[energy]] ''S'' in the [[inertial subrange]] is ''S'' = &#x003b1;&#x003b5;<sup>2/3</sup>''k''<sup>-5/3</sup>, for &#x003b5; representing the [[viscous dissipation]]  rate of [[turbulence kinetic energy]], and ''k'' the [[wavenumber]] (inversely proportional to  the [[wavelength]]  
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|Explanation=''or'' [[eddy]] size).<br/> Measurements of the 1D longitudinal [[spectrum]] of the [[wind]] in the [[planetary boundary layer]]  show that this constant is equal to about 0.5.
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== Kolmogorov constant ==
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<div class="definition"><div class="short_definition">The proportionality constant &#x003b1; in Kolmogorov theory, which states that the  spectral [[energy]] ''S'' in the [[inertial subrange]] is ''S'' = &#x003b1;&#x003b5;<sup>2/3</sup>''k''<sup>&minus;5/3</sup>, for &#x003b5; representing the [[viscous dissipation]]  rate of [[turbulence kinetic energy]], and ''k'' the [[wavenumber]] (inversely proportional to  the [[wavelength]] <br/>''or'' [[eddy]] size).</div><br/> <div class="paragraph">Measurements of the 1D longitudinal [[spectrum]] of the [[wind]] in the [[planetary boundary layer]]  show that this constant is equal to about 0.5.</div><br/> </div>
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Latest revision as of 12:06, 26 March 2024

The proportionality constant α in Kolmogorov theory, which states that the spectral energy S in the inertial subrange is S = αε2/3k-5/3, for ε representing the viscous dissipation rate of turbulence kinetic energy, and k the wavenumber (inversely proportional to the wavelength

or eddy size).
Measurements of the 1D longitudinal spectrum of the wind in the planetary boundary layer show that this constant is equal to about 0.5.

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