Modelling free surface flow with curvilinear streamlines by a non-hydrostatic model

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Title:Modelling free surface flow with curvilinear streamlines by a non-hydrostatic model
Creators:
Zerihun, Yebegaeshet T. ; zyebegaeshet at gmail dot com; David & James – Engineering and Environmental Consultancy, 204 Albion Road, Victoria 3350, Australia.
Journal or Publication Title:
Journal of Hydrology and Hydromechanics, 64, 3, pp. 281-288
Uncontrolled Keywords:curvilinear flow, finite difference method, hydraulic structures, hydrodynamics, non-hydrostatic pressure, nonuniform flow

Abstract

This study addresses a particular phenomenon in open channel flows for which the basic assumption of hydrostatic pressure distribution is essentially invalid, and expands previous suggestions to flows where streamline curvature is significant. The proposed model incorporates the effects of the vertical curvature of the streamline and steep slope, in making the pressure distribution non-hydrostatic, and overcomes the accuracy problem of the Saint-Venant equations when simulating curvilinear free surface flow problems. Furthermore, the model is demonstrated to be a higher-order one-dimensional model that includes terms accounting for wave-like variations of the free surface on a constant slope channel. Test results of predicted flow surface and pressure profiles for flow in a channel transition from mild to steep slopes, transcritical flow over a short-crested weir and flow with dual free surfaces are compared with experimental data and previous numerical results. A good agreement is attained between the experimental and computed results. The overall simulation results reveal the satisfactory performance of the proposed model in simulating rapidly varied gravity-driven flows with predominant non-hydrostatic pressure distribution effects. This study suggests that a higher-order pressure equation should be used for modelling the pressure distribution of a curvilinear flow in a steeply sloping channel.

Official URL: http://147.213.145.2/vc/vc1.asp

Title:Modelling free surface flow with curvilinear streamlines by a non-hydrostatic model
Translated title:Modelling free surface flow with curvilinear streamlines by a non-hydrostatic model
Creators:
Zerihun, Yebegaeshet T. ; zyebegaeshet at gmail dot com; David & James – Engineering and Environmental Consultancy, 204 Albion Road, Victoria 3350, Australia.
Uncontrolled Keywords:curvilinear flow, finite difference method, hydraulic structures, hydrodynamics, non-hydrostatic pressure, nonuniform flow
Subjects:T Technology > TA Engineering (General). Civil engineering (General)
Divisions:Mathematics, Physics and Earth Sciences > Institute of Hydrodynamics > Journal of Hydrology and Hydromechanics
Journal or Publication Title:Journal of Hydrology and Hydromechanics
Volume:64
Number:3
Page Range:pp. 281-288
ISSN:0042-790X
Publisher:Institute of Hydrology of the Slovak Academy of Sciences and the Institute of Hydrodynamics of the Academy of Sciences of the Czech Republic
Related URLs:
URLURL Type
http://avi.lib.cas.cz/node/55Publisher
ID Code:8670
Item Type:Article
Deposited On:18 Aug 2016 14:26
Last Modified:18 Aug 2016 12:26

Citation

Zerihun, Yebegaeshet T. (2016) Modelling free surface flow with curvilinear streamlines by a non-hydrostatic model. Journal of Hydrology and Hydromechanics, 64 (3). pp. 281-288. ISSN 0042-790X

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