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Journal Articles Physics of Fluids Year : 2011

An apparent symmetry property of the mean velocity gradient in turbulent Poiseuille flows and its implications

Abstract

A novel feature of the mean velocity gradient in turbulent parallel Poiseuille flows has been found using the results available in databases of direct numerical simulations at moderately high friction Reynolds number Rs, up to 2000. The computed turbulence statistics show that the logarithm of the mean velocity gradient, normalized by its value at the quarter-channel height, is very close to symmetric with respect to this position. At this location, the ratio of the viscous transport term to the viscous stress is a minimum. The range of validity of this property increases with the Reynolds number and is between y=h¼0.1 and y=h¼0.9 for Rs¼2000. This property is a convenient tool in channel flow analysis since the velocity profile in the wall region can be accurately predicted from values much further away. We explore in some detail the properties that follow from this discovery.
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Dates and versions

hal-00639071 , version 1 (08-11-2011)

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Faouzi Laadhari. An apparent symmetry property of the mean velocity gradient in turbulent Poiseuille flows and its implications. Physics of Fluids, 2011, 23 (10), pp.101705. ⟨10.1063/1.3657819⟩. ⟨hal-00639071⟩
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