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Title:Localized turbulent flows on scouring granular beds
Author(s):Gioia, Gustavo; Bombardelli, Fabian A.
Abstract:In many applications a sustained, localized turbulent flow scours a cohesionless granular bed to form a pothole. Here we use similarity methods to derive a theoretical formula for the equilibrium depth of the pothole. Whereas the empirical formulas customarily used in applications contain mumerous free exponents, the theoretical formula contains a single one, which we show can be determined via the phenomenological theory of turbulence. Our derivation affords insight into how a state of dynamic equilibrium is attained between a granular bed and a localized turbulent flow.
Issue Date:2005-05
Publisher:Department of Theoretical and Applied Mechanics (UIUC)
Series/Report:TAM Reports 1065, (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 Fabian A.Bombardelli. Localized turbulent flows on scouring granular beds, Physical Review Letters, Vol. 95, No.1, 2005, pp. 014501-4. DOI: 10.1103/PhysRevLett.95.014501. Copyright 2005 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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