Shear inertial subrange fit - Revision history

Sarah: Created page with "{{DefineConcept |parameter_name=shear_inertial_subrange_fit |description=For very high rates of dissipation, such as $\varepsilon=1\times 10^{-5}\ \mathrm{W\, kg^{-1}}$
2023-09-15T11:12:30Z

Created page with "{{DefineConcept |parameter_name=shear_inertial_subrange_fit |description=For very high rates of dissipation, such as <math>\varepsilon=1\times 10^{-5}\ \mathrm{W\, kg^{-1}}</m..."

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{{DefineConcept
|parameter_name=shear_inertial_subrange_fit
|description=For very high rates of dissipation, such as <math>\varepsilon=1\times 10^{-5}\ \mathrm{W\, kg^{-1}}</math>, the shear-probe cannot fully resolve the spectrum of shear. We recommend to estimate the rate by fitting to the spectrum in the inertial subrange.

In this range, the spectrum rises in proportion to <math>\varepsilon^{2/3}k^{1/3}</math> and, thus, its level provides an estimate of the rate of dissipation. The inertial subrange is confined to wavenumbers smaller than <math>k(\nu^3/\varepsilon)^{1/4}=0.02</math>, and thus will usually use fewer spectral points than the method of spectral integration. This reduces the statistical reliability of the dissipation estimate but it does avoid the bias introduced by not fully resolving the spectrum of shear.

<math></math>
|instrument_type=Shear probes
}}