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Issue 10, 2026
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Letters to the editors


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 pdf (554 KB)
Fulltext is also available at DOI: 10.3367/UFNe.0185.201502h.0217
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/
000353946800007
2-s2.0-84928986650
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, 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 (2) Similar articles (18) ↓

  1. I.I. Vigdorovich “Does the power formula describe turbulent velocity profiles in tubes? (comment on "Turbulent flows at very large Reynolds numbers: new lessons learned" [Phys. Usp. 57 250 (2014); ” Phys. Usp. 58 196–198 (2015)
  2. A.V. Borisov, I.S. Mamaev “Notes on new friction models and nonholonomic mechanics” Phys. Usp. 58 1220–1222 (2015)
  3. G.R. Ivanitskii “Memory about the past is beneficial for survival and reproduction (reply to comment (Usp. Fiz. Nauk 182 1235 (2012) [Phys. Usp. 55 1152 (2012)]) by V I Klyatskin on “21st century: what is life from the perspective of physics” (Usp. Fiz. Nauk 180 337 (2010) [Phys. Usp. 53 327 (2010)]) by G R Ivanitskii)” Phys. Usp. 55 1155–1160 (2012)
  4. G.R. Ivanitskii “Remembering a random choice kills alternatives (reply to comment on “21st century: what is life from the perspective of physics?”)” Phys. Usp. 54 431–433 (2011)
  5. N.A. Vinokurov “Relation between energy conservation and equations of motion (A reply to the comment by E A Arinshtein (Usp. Fiz. Nauk 185 333 (2015) [Phys. Usp. 58 (3) (2015)]) on "Analytical mechanics and field theory: derivation of equations from energy conservation" (Usp. Fiz. Nauk 184 641 (2014) [Phys. Usp. 57 593 (2014)]))” Phys. Usp. 58 311–312 (2015)
  6. A.E. Dubinov, L.A. Mytareva “Is singularity-free cloaking possible? New cloaking ideas (a reply to comments on the paper “Invisible cloaking of material bodies using the wave flow method” [Phys. Usp. 53 455 (2010)])” Phys. Usp. 55 315–318 (2012)
  7. V.F. Zhuravlev “Once more on the dynamics of the rattleback (comment on "Strange attractors in rattleback dynamics" by A.V. Borisov and I.S. Mamaev [Usp. Fiz. Nauk 173 407 (2003); Phys. Usp. 46 393 (2003)] and "Nonlinear dynamics of the rattleback: a nonholonomic model" by A.V. Borisov, A.O. Kazakov, S.P. Kuznetsov [Usp. Fiz. Nauk 184 493 (2014); Phys. Usp. 57 453 (2014)])” Phys. Usp. 58 1218–1219 (2015)
  8. G.B. Malykin, V.I. Pozdnyakova “On inconsistencies in the work of P Maraner (reply to comment [Usp. Fiz. Nauk 186 793 2016] to the paper "Quadratic Sagnac effect — the influence of gravitational potential of Coriolis force on the phase difference between the arms of a rotating Michelson interferometer (an explanation of D C Miller's experimental results, 1921—1926)" (Usp. Fiz. Nauk 185 431 (2015) [Phys. Usp. 58 398 (2015)])” Phys. Usp. 59 719–721 (2016)
  9. V.I. Klyatskin “Spatial structures can form in stochastic dynamic systems due to near-zero-probability events (comment on “21st century: what is life from the perspective of physics?” (Usp. Fiz. Nauk 180 337 (2010) [Phys. Usp. 53 327 (2010)]) by G R Ivanitskii)” Phys. Usp. 55 1152–1154 (2012)
  10. G.D. Shabanov “On relation between theoretical and experimental components in the papers on ball lightning (reply to M.L. Shmatov's comments [Usp. Fiz. Nauk 190 107 (2020)] on the paper "On the possibility of making natural ball lightning using a new pulse discharge type in the laboratory" [Phys. Usp. 62 92 (2019); Usp. Fiz. Nauk 189 95 (2019)])” Phys. Usp. 63 99–100 (2020)
  11. S.I. Vedeneev “Reply to L.S. Mazov's comments on the paper S.I. Vedeneev Phys. Usp. 64 890 (2021), Usp. Fiz. Nauk 191 937 (2021)” Phys. Usp., accepted
  12. M.V. Rybin, M.F. Limonov “Once again about supercavity modes (a response to the letter to the editors of Physics-Uspekhi from V.V. Klimov [Phys. Usp. 62 (10) (2019); Usp. Fiz. Nauk 189 (10) 1131 (2019)] with comments on the review by M.V. Rybin and M.F. Limonov "Resonance effects in photonic crystals and metamaterials" [Phys. Usp. 62 (8) 823 (2019); Usp. Fiz. Nauk 189 (8) 881 (2019)])” Phys. Usp. 62 1279–1281 (2019)
  13. A.V. Melkikh “First principles of probability theory and some paradoxes in modern biology (comment on “21st century: what is life from the perspective of physics?” by G R Ivanitskii)” Phys. Usp. 54 429–430 (2011)
  14. M.L. Shmatov “Once again on the Gatchina discharge and ball lightning (comments on G.D. Shabanov's paper "On the possibility of making natural ball lightning using a new pulse discharge type in the laboratory" [Phys. Usp. 62 92 (2019); Usp. Fiz. Nauk 189 95 (2019)])” Phys. Usp. 63 96–98 (2020)
  15. A.F. Bunkin, S.M. Pershin “Once again, on the observation of molecular rotational spectra in condensed media” Phys. Usp. 52 1283–1284 (2009)
  16. A.M. Cherepashchuk “Exotic aspects of black holes: an astronaut near the horizon (on the methodological note by A A Grib and Yu V Pavlov “Is it possible to see the infinite future of the Universe when falling into a black hole?”)” Phys. Usp. 52 861–862 (2009)
  17. M.A. Bol’shov, A.A. Makarov, V.R. Mironenko “On the observation of molecular rotational spectra in condensed media” Phys. Usp. 52 1279–1281 (2009)
  18. A.I. Lipkin, R.S. Nakhmanson et al “Readers comments on ‘Quantum mechanics: new experiments, new applications, new formulations’ by M B Menskii” Phys. Usp. 44 417–417 (2001)

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