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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)])

 a, b, c,  b, c,  a, d, c
a P.P. Shirshov Institute of Oceanology, Russian Academy of Sciences, ul. Krasikova 23, Moscow, 117218, Russian Federation
b University of California, Berkeley, California, USA
c Lawrence Berkeley National Laboratory, Berkeley, California, USA
d National 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.

Fulltext is available at IOP
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/
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, 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

References (11) ↓ Cited by (1) Similar articles (3)

  1. Barenblatt G I, Korin A Dzh, Prostokishin V M Usp. Fiz. Nauk 184 265 (2014); Barenblatt G I, Chorin A J, Prostokishin V M Phys. Usp. 57 250 (2014)
  2. Vigdorovich I I Usp. Fiz. Nauk 185 213 (2015); Vigdorovich I I Phys. Usp. 58 (2) (2015)
  3. Landau L, Lifshits E Mekhanika Sploshnykh Sred: Gidrodinamika i Teoriya Uprugosti (Teoreticheskaya fizika) Vol. 3 (Pod obshch. red. L D Landau) (M. - L.: OGIZ GITTL, 1944)
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  10. Nikuradse J "Gesetzmäßigkeiten der turbulenten Strömung in glatten Rohren" VDI (Verein Deutscher Ingenieure)-Forschungsheft 356, Supplement to "Engineering Research" ("Forschung auf dem Gebiet des Ingenieurwesen") Edition B Vol. 3 (Berlin: VDI-Verlag, 1932); Translated into English, Nikuradse J "Laws of turbulent flow in smooth pipes" NASA TT F-10,359 (Washington: National Aeronautics and Space Administration, 1966); Perevod na russk. yaz., Nikuradze I "Zakonomernosti turbulentnogo dvizheniya v gladkikh trubakh" Problemy Turbulentnosti (Pod red. M A Velikanova, N T Shveikovskogo) (M. - L.: ONTI, 1936) p. 75
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