Turbulence spectrum: Difference between revisions
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[[User:CynthiaBluteau|CynthiaBluteau]] ([[User talk:CynthiaBluteau|talk]]) 01:06, 14 October 2021 (CEST) | [[User:CynthiaBluteau|CynthiaBluteau]] ([[User talk:CynthiaBluteau|talk]]) 01:06, 14 October 2021 (CEST) | ||
Replace this published figure with an annotated example spectrum that has both the inertial and viscous subranges for velocities highlighted. Correct labels. | Replace this published JFM figure with an annotated example spectrum that has both the inertial and viscous subranges for velocities highlighted. Correct labels. | ||
Spectra in the frequency domain are converted into the spatial domain via [[Taylor's Frozen Turbulence]] hypothesis. | Spectra in the frequency domain are converted into the spatial domain via [[Taylor's Frozen Turbulence]] hypothesis. | ||
Revision as of 13:34, 29 October 2021
| Short definition of Turbulence spectrum |
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| Turbulence energy cascade and its expected spectral representation |
This is the common definition for Turbulence spectrum, but other definitions maybe discussed within the wiki.
CynthiaBluteau (talk) 01:06, 14 October 2021 (CEST)
Replace this published JFM figure with an annotated example spectrum that has both the inertial and viscous subranges for velocities highlighted. Correct labels.
Spectra in the frequency domain are converted into the spatial domain via Taylor's Frozen Turbulence hypothesis.
Convert time derivatives to spatial gradients along the direction of profiling using
[math]\displaystyle{ \frac{\partial}{\partial x} = \frac{1}{U_P} \frac{\partial}{\partial t} }[/math] .
Convert frequency spectra into wavenumber spectra using
[math]\displaystyle{ k = f/U_P }[/math] and [math]\displaystyle{ \Psi(k) = U_P \Psi(f) }[/math] .
- Missing the y-axi variables
- Lowest frequency and wavenumber resolvable
