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

Amit Kr. Chattopadhyay, Jayanta K. Bhattacharjee

Research output: Contribution to journalArticle

Abstract

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
Volume63
Issue number1
Early online date21 Dec 2000
DOIs
Publication statusPublished - Jan 2001

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Turbulent Boundary Layer
turbulent boundary layer
Flat Plate
Shear Flow
Velocity Profile
flat plates
Turbulent Flow
shear flow
Dimensionless
Turbulence
velocity distribution
turbulence
Unit
Model
Form

Bibliographical note

©2000 American Physical Society

Cite this

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Wall-bounded turbulent shear flow : Analytic result for a universal amplitude. / Chattopadhyay, Amit Kr.; Bhattacharjee, Jayanta K.

In: Physical Review E, Vol. 63, No. 1 , 016306, 01.2001.

Research output: Contribution to journalArticle

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