Self-similarity and Reynolds number invariance in Froude modelling

Heller, Valentin

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.

Citation

Heller, V. (in press). Self-similarity and Reynolds number invariance in Froude modelling. Journal of Hydraulic Research, 55(1), https://doi.org/10.1080/00221686.2016.1250832

• Journal Article Type: Article
• Acceptance Date: Oct 16, 2016
• Online Publication Date: Nov 22, 2016
• Deposit Date: Nov 22, 2016
• Publicly Available Date: Nov 22, 2016
• Journal: Journal of Hydraulic Research
• Print ISSN: 0022-1686
• Electronic ISSN: 1814-2079
• Publisher: Taylor & Francis Open
• Peer Reviewed: Peer Reviewed
• Volume: 55
• Issue: 1
• DOI: https://doi.org/10.1080/00221686.2016.1250832
• Keywords: Scale effects, Physical modeling, Froude similarity, Self-similarity
• Public URL: https://nottingham-repository.worktribe.com/output/827392
• Publisher URL: http://www.tandfonline.com/doi/full/10.1080/00221686.2016.1250832
• 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