Self-similarity and Reynolds number invariance in Froude modelling

Heller, Valentin (2016) Self-similarity and Reynolds number invariance in Froude modelling. Journal of Hydraulic Research, 55 (1). pp. 1-17. ISSN 1814-2079

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Abstract

This review aims to improve the reliability of Froude modelling in fluid flows where both the Froude number and Reynolds number are a priori relevant. Two concepts may help to exclude significant Reynolds number scale effects under these conditions: (i) self-similarity and (ii) Reynolds number invariance. Both concepts relate herein to turbulent flows, thereby excluding self-similarity observed in laminar flows and in non-fluid phenomena. These two concepts are illustrated with a wide range of examples: (i) irrotational vortices, wakes, jets and plumes, shear-driven entrainment, high-velocity open channel flows, sediment transport and homogeneous isotropic turbulence and (ii) tidal energy converters, complete mixing in contact tanks and gravity currents. The limitations of self-similarity and Reynolds number invariance are also highlighted. Many fluid phenomena with the limitations under which self-similarity and Reynolds number invariance are observed are summarised in tables, aimed at excluding significant Reynolds number scale effects in physical Froude-based models.

Item Type: Article
Additional Information: This is an Accepted Manuscript of an article published by Taylor & Francis in Journal of Hydraulic Research on 22/11/2016, available online: http://www.tandfonline.com/10.1080/00221686.2016.1250832
Keywords: Scale effects, Physical modeling, Froude similarity, Self-similarity
Schools/Departments: University of Nottingham, UK > Faculty of Engineering > Department of Civil Engineering
Identification Number: 10.1080/00221686.2016.1250832
Depositing User: Heller, Valentin
Date Deposited: 22 Nov 2016 14:57
Last Modified: 24 Nov 2017 10:04
URI: http://eprints.nottingham.ac.uk/id/eprint/38883

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