On the problem of turbulent flows in pipes at very large Reynolds numbers (reply to comment by I I Vigdorovich [Phys. Usp. 58 (2015); Usp. Fiz. Nauk 185 213 (2015)] on "Turbulent flows at very large Reynolds numbers: new lessons learned" [Phys. Usp. 57 250 (2014); Usp. Fiz. Nauk184 265 (2014)])

G.I. Barenblatt^a, b, c, A.J. Chorin^b, c, V.M. Prostokishin^a, d, c
^aP.P. Shirshov Institute of Oceanology, Russian Academy of Sciences, ul. Krasikova 23, Moscow, 117218, Russian Federation
^bUniversity of California, Berkeley, California, USA
^cLawrence Berkeley National Laboratory, Berkeley, California, USA
^dNational Research Nuclear University ‘MEPhI’, Kashirskoe shosse 31, Moscow, 115409, Russian Federation

The problem of turbulent flow in pipes, although at first sight of purely engineering interest, has since the 1930s been the subject of much attention by mathematicians and physicists, including such outstanding figures as T von Karman, L Prandtl and L D Landau. It has turned out that despite — or perhaps due to — the seemingly simple formulation of this problem, research on it has revealed new aspects of the still very mysterious phenomenon of turbulence. Reference [1] briefly summarizes our last twenty years' work on the problem. Some of our results strongly disagree with commonly accepted views which, unsurprisingly, makes them difficult to accept. This is well exemplified by the letter [2], so its analysis here may hopefully be of interest to UFN's (Physics—Uspekhi) readers.

PACS: 47.27.−i, 47.27.Ak, 47.27.N− (all)
DOI: 10.3367/UFNe.0185.201502h.0217
URL: https://ufn.ru/en/articles/2015/2/g/
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000353946800007
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2-s2.0-84928986650
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2015PhyU...58..199B
Citation: Barenblatt G I, Chorin A J, Prostokishin V M "On the problem of turbulent flows in pipes at very large Reynolds numbers (reply to comment by I I Vigdorovich [Phys. Usp. 58 (2015); Usp. Fiz. Nauk 185 213 (2015)] on "Turbulent flows at very large Reynolds numbers: new lessons learned" [Phys. Usp. 57 250 (2014); Usp. Fiz. Nauk184 265 (2014)])" Phys. Usp. 58 199–201 (2015)

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Received: 4th, July 2014, revised: 1st, September 2014, accepted: 2nd, October 2014

Оригинал: Баренблатт Г И, Корин А Дж, Простокишин В М «К проблеме турбулентных течений в трубах при очень больших числах Рейнольдса (Ответ на комментарий И.И. Вигдоровича [УФН 185 213 (2015)] к статье "Турбулентные течения при очень больших числах Рейнольдса: уроки новых исследований" [УФН 184 265 2014])» УФН 185 217–220 (2015); DOI: 10.3367/UFNr.0185.201502h.0217