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Title:Turbulent friction in rough pipes and the energy spectrum of the phenomenological theory
Author(s):Gioia, Gustavo; Chakraborty, Pinaki
Abstract:The classical experiments on turbulent friction in rough pipes were performed by J. Nikuradse in the 1930s. Seventy years later, they continue to defy theory. Here we model Nikuradse’s experiments using the phenomenological theory of Kolmogórov, a theory that is widely thought to be applicable only to highly idealized flows. Our results include both the empirical scalings of Blasius and Strickler, and are otherwise in minute qualitative agreement with the experiments; they suggest that the phenomenological theory may be relevant to other flows of practical interest; and they unveil the existence of close ties between two milestones of experimental and theoretical turbulence.
Issue Date:2005-08
Publisher:Department of Theoretical and Applied Mechanics (UIUC)
Series/Report:TAM Reports 1070, (2005)
Genre:Technical Report
Publication Status:published or submitted for publication
Peer Reviewed:is peer reviewed
Date Available in IDEALS:2007-03-09
Is Version Of:Published as: Gustavo Gioia and Pinaki Chakraborty. Turbulent friction in rough pipes and the energy spectrum of the phenomenological theory. Physical Review Letters, Vol. 96, No. 4 , 2006, pp. 044502. DOI: 10.1103/PhysRevLett.96.044502. Copyright 2006 American Physical Society.

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  • Technical Reports - Theoretical and Applied Mechanics (TAM)
    TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.

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