On the Unidirectional Free-Surface Flow Solution in a Rectangular Open Channel

2021 ◽  
pp. 79-86
Author(s):  
Souad Mnassri ◽  
Ali Triki
Keyword(s):  
Free Surface ◽  
Open Channel ◽  
Free Surface Flow ◽  
Surface Flow ◽  
Flow Solution

scholarly journals An open-channel flow meeting a barrier and forming one or two jets

2000 ◽  
Vol 41 (4) ◽  
pp. 458-472 ◽  
Author(s):  
L. H. Wiryanto ◽  
E. O. Tuck
Keyword(s):  
Free Surface ◽  
Open Channel ◽  
Vertical Wall ◽  
Open Channel Flow ◽  
Free Surface Flow ◽  
Integral Equation Method ◽  
Finite Depth ◽  
Surface Flow ◽  
Parameter Measuring ◽  
Two Jets

AbstractA steady two-dimensional free-surface flow in a channel of finite depth is considered. The channel ends abruptly with a barrier in the form of a vertical wall of finite height. Hence the stream, which is uniform far upstream, is forced to go upward and then falls under the effect of gravity. A configuration is examined where the rising stream splits into two jets, one falling backward and the other forward over the wall, in a fountain-like manner. The backward-going jet is assumed to be removed without disturbing the incident stream. This problem is solved numerically by an integral-equation method. Solutions are obtained for various values of a parameter measuring the fraction of the total incoming flux that goes into the forward jet. The limit where this fraction is one is also examined, the water then all passing over the wall, with a 120° corner stagnation point on the upper free surface.

3-D Modeling of unsteady free-surface flow in open channel

2004 ◽  
Vol 42 (3) ◽  
pp. 263-272 ◽  
Author(s):  
J.-B. Faure ◽  
N. Buil ◽  
B. Gay
Keyword(s):  
Free Surface ◽  
Open Channel ◽  
Free Surface Flow ◽  
Surface Flow

scholarly journals Measurement of open-channel free-surface flow using a high-vision video camera

2005 ◽  
Vol 25 (Supplement1) ◽  
pp. 207-210
Author(s):  
Ichiro FUJITA ◽  
Takayuki MATSUBARA
Keyword(s):  
Free Surface ◽  
Open Channel ◽  
Free Surface Flow ◽  
Video Camera ◽  
Surface Flow

scholarly journals Steady Two-Dimensional Free-Surface Flow Past Disturbances in an Open Channel: Solutions of the Korteweg–De Vries Equation and Analysis of the Weakly Nonlinear Phase Space

Fluids ◽  
2019 ◽  
Vol 4 (1) ◽  
pp. 24 ◽  
Author(s):  
Benjamin Binder
Keyword(s):  
Free Surface ◽  
Open Channel ◽  
Kdv Equation ◽  
Bottom Topography ◽  
Free Surface Flow ◽  
Surface Flow ◽  
Two Dimensional ◽  
Model Approximation ◽  
Flow Past ◽  
Channel Bottom

Two-dimensional free-surface flow past disturbances in an open channel is a classical problem in hydrodynamics—a problem that has received considerable attention over the last two centuries (e.g., see Lamb’s Treatise, 1879). With traces back to Russell’s experimental observations of the Great Wave of Translation in 1834, Korteweg and de Vries (1895), and others, derived an unforced equation to describe the balance between nonlinearity and dispersion required to model the solitary wave. More recently, Akylas (1984) derived a forced KdV equation to model a pressure distribution on the free-surface (e.g., a ship). Since then, the forced KdV equation has been shown to be a useful model approximation for two-dimensional flow past disturbances in an open channel. In this paper, we review the stationary solutions of the forced KdV equation for four types of localised disturbances: (i) a flat plate separating two free surfaces; (ii) a compact bump, or dip in the channel bottom topography; (iii) a compact distribution of pressure on the free surface and (iv) a step-wise change in the otherwise constant horizontal level of the channel bottom topography. Moreover, Dias and Vanden-Broeck (2002) developed a phase plane method to analyse flow over a bump, and this general approach has also been applied to the three other types of forcing (see Binder et al., 2005–2015, and others). In this study, we use eleven basic flow types to classify the steady solutions of the forced KdV equation using the phase plane method. Additionally, considering solutions that are wave-free both far upstream and far downstream, we compare KdV model approximations of the uniform flow conditions in the far-field with exact solutions of the full problem. In particular, we derive a new KdV model approximation for the upstream dimensionless flow-rate which is conveniently given in terms of the known downstream dimensionless flow-rate.

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