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

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.

Publication DOI: https://doi.org/10.1103/PhysRevE.63.016306
Divisions: Engineering & Applied Sciences > Mathematics
Engineering & Applied Sciences > Systems analytics research institute (SARI)
Additional Information: ©2000 American Physical Society
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Related URLs: http://www.scop ... 7e17beaa062aadc (Scopus URL)
PURE Output Type: Article
Published Date: 2001-01
Published Online Date: 2000-12-21
Authors: Chattopadhyay, Amit Kr. ( 0000-0001-5499-6008)
Bhattacharjee, Jayanta K.

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