NDLI: Turbulence: An Old Challenge and New Perspectives

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Turbulence: An Old Challenge and New Perspectives

Content Provider	Springer Nature Link
Author	Barenblatt, G.I. Chorin, A.J.
Copyright Year	1998
Abstract	Turbulence at very large Reynolds numbers (often called developed turbulence) is widely considered to be one of the happier provinces of the turbulence realm, as it is widely thought that two of its basic results are well-established, and have a chance to enter, basically untouched, into a future complete theory of turbulence. These results are the von Kármán-Prandtl universal logarithmic law in the wall-region of wall-bounded turbulent shear flow, and the Kolmogorov-Obukhov scaling laws for the local structure of developed turbulent flow.However, doubts have been expressed over the years about the fluid mechanical assumptions that underlie these laws.After a concise review of the problem of turbulence as a whole we will show in the present paper that the von Kármán–Prandtl universal logarithmic law is based on an assumption which,though plausible, in fact is not quite correct. We will come to the conclusion, based on theoretical considerations and on processing of experimental data, that the universal logarithmic law does not describe the real features of developed turbulent wall-bounded flow of viscous fluid; it should be jettisoned and replaced by a different law, a scaling law.Experimental evidence for the local structure of turbulent flows is now not sufficiently well-established to allow a similarly definite conclusion. However, the application of the new approach presented here makes it very plausible that the classical, non-modified version of Kolmogorov–Obukhov ‘K-41’ laws gives an adequate description of the local features of developedturbulent flows.Sommario.La turbolenza agli altissimi numeri di Reynolds (spesso chiamata turbolenza sviluppata) è largamente ritenuta una delle regioni felici del regno della turbolenza: si pensa infatti che due suoi risultati fondamentali siano ben assodati e che abbiano speranza di entrare senza rilevanti modifiche in una futura teoria completa della turbolenza.Questi risultati sono la legge logaritmica universale di Kármán–Prandtl per la regione di parete dei flussi turbolenti confinati e la legge di simulitudine di Kolmogorov–Obukhov per la struttura locale del flusso turbolento sviluppato. Nel corso degli anni sono stati tuttavia espressi dubbi sulle ipotesi fluidodinamiche che sottendono queste leggi. Nel presente lavoro, dopo un breve esame del problema della turbolenza nel suo insieme,dimostreremo che la legge logaritmica universale di Kármán–Prandtl è basata su un'assunzione che, per quanto plausibile, non è del tutto corretta. Giungeremo alla conclusione, basata su considerazioni teoriche esull'elaborazione di dati sperimentali, che la legge logaritmica universale non descrive le caratteristiche reali del flusso turbolento di un fluido viscoso sviluppato e confinato da una parete; essa dovrebbe essere sostituita de una legge differente, una legge di similitude. L'evidenza sperimentale per la stzuttura locale di flusso turbolento non è al momento sufficientemente assodata perpermettere una conclusione altrettanto definita. L'impiegodel nuovo approccio qui presentato, tuttavia, rende assai plausible che la classica versione non modificata della legge ‘K-41’ di Kolmogorov-Obukhov fornisca una adeguata descrizione delle caratteristiche locali del flussoturbolento sviluppato.
Starting Page	445
Ending Page	468
Page Count	24
File Format	PDF
ISSN	00256455
Journal	Meccanica
Volume Number	33
Issue Number	5
e-ISSN	15729648
Language	English
Publisher	Kluwer Academic Publishers
Publisher Date	1998-01-01
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Mechanics Mechanical Engineering Automotive and Aerospace Engineering, Traffic Civil Engineering
Content Type	Text
Resource Type	Article
Subject	Mechanics of Materials Condensed Matter Physics Mechanical Engineering

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