The open channel in a uniform representation of the turbulent velocity profile across all parallel geometries

Author:

Luchini PaoloORCID

Abstract

A uniform representation of the mean turbulent velocity profile in the sum of a wall function and a wake function, already introduced for other parallel geometries, is applied to an open channel. The open channel with its wake function is thus found to coherently fit in to the same theoretical picture previously drawn for plane Couette, plane closed-channel and circular-pipe flow, and to share with them a universal law of the wall and a universal logarithmic law with a common value of von Kármán's constant.

Publisher

Cambridge University Press (CUP)

Reference15 articles.

1. Direct numerical simulation of turbulent open channel flows at moderately high Reynolds numbers;Yao;J. Fluid Mech.,2022

2. Direct numerical simulation of turbulent channel flow up to $Re_\tau = 5200$;Lee;J. Fluid Mech.,2015

3. Luchini, P. 2019 Law of the wall and law of the wake in turbulent parallel flow. In Progress in Turbulence VIII: iTi 2018 (ed. R. Örlü, A. Talamelli, J. Peinke & M. Oberlack), Springer Proceedings in Physics, vol. 226, pp. 63–68. Springer.

4. Millikan, C.B. 1939 A critical discussion of turbulent flows in channels and circular tubes. In Proceedings of the Fifth International Congress for Applied Mechanics, Harvard Univ. and MIT, 12–26 Sep. 1938, pp. 386–392. Wiley.

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