A three-layer asymptotic analysis of turbulent channel flow
type: Item
instance of: scholarly article
title: A three-layer asymptotic analysis of turbulent channel flow
zbMATH Open document ID: 0586.76104
DOI: 10.1007/BF02880993
author: N. Afzal
author: William B. Bush
published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences
publication date: 1985-01-01T00:00:00Z
review text: In the classical theory for large-Reynolds number fully developed channel flow, the solutions obtained by asymptotic-expansion techniques for the outer Kármán defect layer and the inner Prandtl wall layer are demonstrated to match through the introduction of an intermediate layer based on a general intermediate limit. From an examination of the results for this general intermediate layer, the distinguished intermediate limit and the corresponding intermediate layer for which the turbulent and laminar contributions to the difference of the Reynolds stress from the wall stress are of the same order of magnitude are identified. The thickness of this distinguished intermediate layer is found to be of the order of the geometric mean of the thickness of the outer and inner layers.
Mathematics Subject Classification ID: 76F99
zbMATH DE Number: 3941094
zbMATH Keywords: steady two-dimensional turbulent flow
zbMATH Keywords: asymptotic analysis
zbMATH Keywords: turbulent channel flour
zbMATH Keywords: eddy-viscosity closure
zbMATH Keywords: channel flow
zbMATH Keywords: asymptotic-expansion techniques
zbMATH Keywords: Kármán defect layer
zbMATH Keywords: Prandtl wall layer
zbMATH Keywords: intermediate limit
zbMATH Keywords: general intermediate layer
zbMATH Keywords: laminar contributions
zbMATH Keywords: wall stress
MaRDI profile type: Publication
cites work: Fully developed turbulent flow in a pipe: an intermediate layer
cites work: Q4742438
cites work: Asymptotic analysis of turbulent channel and boundary-layer flow
cites work: Asymptotic Analysis of Turbulent Channel Flow for Mixing Length Theory
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description: scientific article; zbMATH DE number 3941094