Dear Dr. Oleh G. Shvydkyi
A phenomenological solution can be found by considering the relation of the thickness of the boundary layer & the diameter of a cylinder in the system.
It will give a relation that involves the Reynolds number, the temperature & the pressure of the whole system.
Please check, the exercises in chapter 12 of the the textbook:
"Statistical Thermodynamics: An Engineering Approach" by Prof. John W. Daily. Cambridge University Press, 2019.
Dear Prof. Pedro L. Contreras E.,
Thank you so much for your reply.
Dear Oleh G. Shvydkyi
the answer to your question can be found in several fundamental textbooks, since the hystorical Lumley one. The theory of the turbulent BL produces the well know wall law u+(y+).
But that cannot be considered an analytical solution of the NSE, such relation are formulated from the statistically averaged NSE under the assumpton of a statistically steady condition.
Dear Prof. Filippo Maria Denaro,
Thank you for your reply. I'd like to know your opinion about several my articles devoted to describing turbulent motion. I will submit corresponding links to you as a message. Best wishes, Oleh Shvydkyi.
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