[lucamirtanini]

Hi all,
it is known that the -5/3 power law of the turbulence spectrum derives from the paper of Kolmogorov and it is also well-known (I found this citation in a lot of papers) that the -5/3 power law was identified from the Kolmogorov theory by Obukhov. I've never found his original paper, but I found this translation
https://apps.dtic.mil/dtic/tr/fulltext/u2/683016.pdf .
Unfortunely in this paper I didn't find the derivation that leads to -5/3. Is this the right paper, what am I missing?
THANKS

[FMDenaro]

Originally Posted by lucamirtanini

Hi all,
it is known that the -5/3 power law of the turbulence spectrum derives from the paper of Kolmogorov and it is also well-known (I found this citation in a lot of papers) that the -5/3 power law was identified from the Kolmogorov theory by Obukhov. I've never found his original paper, but I found this translation
https://apps.dtic.mil/dtic/tr/fulltext/u2/683016.pdf .
Unfortunely in this paper I didn't find the derivation that leads to -5/3. Is this the right paper, what am I missing?
THANKS

According to Frisch, the theory is reported in:


Obukhov, A.M. 1941a. On the distribution of energy in the spectrum of
turbulent flow, Dokl. Akacl. Nauk SSSR 32(1), 22 24.
Obukhov, A.M. 1941b. Spectral energy distribution in a turbulent flow, lzv.
Akad. Nauk SSSR Set. Geogr. Geofiz. 5(4 5), 453466.

[lucamirtanini]

Do you have this paper? I cannot find it

[FMDenaro]

Originally Posted by lucamirtanini

Do you have this paper? I cannot find it

No, sorry, I don't have the Obukhov's papers