Characteristics of a hydraulic jump in Bingham fluid
Hydraulic jump taking place in Bingham fluid over a horizontal plate has been studied. The formulas for conjugate depths, bottom shear stress and critical depth are established. Since no exact analytical solution in closed form can be obtained for conjugate depths, an approximate formula is develope...
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sg-ntu-dr.10356-940322023-03-04T17:17:57Z Characteristics of a hydraulic jump in Bingham fluid Shu, Jian Jun Zhou, Jian Guo School of Mechanical and Aerospace Engineering DRNTU::Engineering::Mechanical engineering::Fluid mechanics Hydraulic jump taking place in Bingham fluid over a horizontal plate has been studied. The formulas for conjugate depths, bottom shear stress and critical depth are established. Since no exact analytical solution in closed form can be obtained for conjugate depths, an approximate formula is developed. This formula can provide good results with an error less than 4%. The analytical results reveal that the critical depth and the ratio of conjugate depths increase until the bottom shear stress exceeds a certain value and then decrease afterwards. The bottom shear stress downstream of hydraulic jump is smaller than that upstream. The results are verified by experimental data and observations available in the literature. Accepted version 2011-10-03T09:16:36Z 2019-12-06T18:49:34Z 2011-10-03T09:16:36Z 2019-12-06T18:49:34Z 2006 2006 Journal Article Shu, J. J., & Zhou, J. G. (2006). Characteristics of a hydraulic jump in Bingham fluid. Journal of hydraulic research, 44(3), 421-426. 0022-1686 https://hdl.handle.net/10356/94032 http://hdl.handle.net/10220/7142 10.1080/00221686.2006.9521693 89708 en Journal of hydraulic research © 2006 International Association of Hydraulic Engineering and Research. This is the author created version of a work that has been peer reviewed and accepted for publication by Journal of hydraulic research, International Association of Hydraulic Engineering and Research. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [DOI: http://dx.doi.org/10.1080/00221686.2006.9521693 ] 6 p. application/pdf |
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DRNTU::Engineering::Mechanical engineering::Fluid mechanics Shu, Jian Jun Zhou, Jian Guo Characteristics of a hydraulic jump in Bingham fluid |
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Hydraulic jump taking place in Bingham fluid over a horizontal plate has been studied. The formulas for conjugate depths, bottom shear stress and critical depth are established. Since no exact analytical solution in closed form can be obtained for conjugate depths, an approximate formula is developed. This formula can provide good results with an error less than 4%. The analytical results reveal that the critical depth and the ratio of conjugate depths increase until the bottom shear stress exceeds a certain value and then decrease afterwards. The bottom shear stress downstream of hydraulic jump is smaller than that upstream. The results are verified by experimental data and observations available in the literature. |
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School of Mechanical and Aerospace Engineering |
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School of Mechanical and Aerospace Engineering Shu, Jian Jun Zhou, Jian Guo |
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Article |
author |
Shu, Jian Jun Zhou, Jian Guo |
author_sort |
Shu, Jian Jun |
title |
Characteristics of a hydraulic jump in Bingham fluid |
title_short |
Characteristics of a hydraulic jump in Bingham fluid |
title_full |
Characteristics of a hydraulic jump in Bingham fluid |
title_fullStr |
Characteristics of a hydraulic jump in Bingham fluid |
title_full_unstemmed |
Characteristics of a hydraulic jump in Bingham fluid |
title_sort |
characteristics of a hydraulic jump in bingham fluid |
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2011 |
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https://hdl.handle.net/10356/94032 http://hdl.handle.net/10220/7142 |
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