I have acquired the power spectrum density from turbulent data (plotting [m^2 s^2 Hz^-1] over [Hz]), using welch's method and am trying to translate this to an approximate eddy diameter. This is important for fish swimming in turbulent flows, as fish tend to be affected by certain eddy diameters more than others. So it would be useful to find a "cutoff" frequency beyond which specific fish will likely be unaffected.
Judging from publications such as Bruno and Carbone 2013 ( doi:10.12942/lrsp-2013-2 ) it seems to be possible to translate frequency spectra to the kolmogorov and taylor scale (see attached image), but I have found no straightforward method of doing this for arbitrary eddy sizes. Perhaps it cannot be done. If so, then knowing that would be helpful too, so that I can stop searching.
I appreciate any help.
As luck has it, it seems I've found the answer to my own question only hours after asking my question. And the answer sat right in front of my nose the entire time no less. Apparently it's as simple as L=u*t (or f = u/L for my purposes) according to Trinci et al. 2017 (10.1002/wat2.1213).
Hi Can links for Your Answer
https://pubmed.ncbi.nlm.nih.gov/18590966/
Article Using Large-Eddy Simulations to Define Spectral and Coherenc...
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