Self-similarity and Reynolds number invariance in Froude modelling
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 invar...
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| Format: | Article |
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Taylor & Francis
2016
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| Online Access: | https://eprints.nottingham.ac.uk/38883/ |
| _version_ | 1848795712178880512 |
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| author | Heller, Valentin |
| author_facet | Heller, Valentin |
| author_sort | Heller, Valentin |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T19:36:26Z |
| format | Article |
| id | nottingham-38883 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:36:26Z |
| publishDate | 2016 |
| publisher | Taylor & Francis |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-388832020-05-04T18:20:19Z https://eprints.nottingham.ac.uk/38883/ Self-similarity and Reynolds number invariance in Froude modelling Heller, Valentin 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. Taylor & Francis 2016-11-22 Article PeerReviewed Heller, Valentin (2016) Self-similarity and Reynolds number invariance in Froude modelling. Journal of Hydraulic Research, 55 (1). pp. 1-17. ISSN 1814-2079 Scale effects Physical modeling Froude similarity Self-similarity http://www.tandfonline.com/doi/full/10.1080/00221686.2016.1250832 doi:10.1080/00221686.2016.1250832 doi:10.1080/00221686.2016.1250832 |
| spellingShingle | Scale effects Physical modeling Froude similarity Self-similarity Heller, Valentin Self-similarity and Reynolds number invariance in Froude modelling |
| title | Self-similarity and Reynolds number invariance in Froude modelling |
| title_full | Self-similarity and Reynolds number invariance in Froude modelling |
| title_fullStr | Self-similarity and Reynolds number invariance in Froude modelling |
| title_full_unstemmed | Self-similarity and Reynolds number invariance in Froude modelling |
| title_short | Self-similarity and Reynolds number invariance in Froude modelling |
| title_sort | self-similarity and reynolds number invariance in froude modelling |
| topic | Scale effects Physical modeling Froude similarity Self-similarity |
| url | https://eprints.nottingham.ac.uk/38883/ https://eprints.nottingham.ac.uk/38883/ https://eprints.nottingham.ac.uk/38883/ |