Wall-bounded turbulent shear flow: Analytic result for a universal amplitude

Amit Kr. Chattopadhyay, Jayanta K. Bhattacharjee

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In the turbulent boundary layer above a flat plate, the velocity profile is known to have the form v =v0[(1/κ)ln z+const]. The distance from the wall in dimensionless units is z and v0 is a uniquely defined velocity scale. The number κ is universal, and measurements over several decades have shown that it is nearly 0.42. We use a randomly stirred model of turbulence to derive the above law and find κ=√108/125π≃0.52.

Original languageEnglish
Article number016306
Number of pages7
JournalPhysical Review E
Issue number1
Early online date21 Dec 2000
Publication statusPublished - Jan 2001

Bibliographical note

©2000 American Physical Society


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