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108
Rodney J. Sobey
Lateral structure of uniform flow
Journal of Hydroinformatics
06.2
2004
integrated) friction factor f. Channel bathymetry is
dZ1
2
Z
specified as (yi,hi) observation pairs. A two-stage numeri-
dy
e
cal algorithm is formulated to solve for the cross-section
2
Z1
dZ2
g h Dh S0 gn 2
area A, the left yL and right yR bank locations, the qx(y)
h Dh 7 3
dy
profile, the horizontal eddy viscosity e and the depth-
dZ3
Z1
integrated bottom friction factor f9.
dy
Application of the algorithm to a rectangular channel
2
dZ4
1
Z
and a natural channel are given. The predictions are
(32)
h Dh 7 3
dy
shown to be physically plausible.
Algorithm variations for alternative channel friction
and Equation (25) becomes
models are given.
f1(z,e,n9) = 0 = Z1(yR)
f2(z,e,n9) = 0 = Z3(yR)
ACKNOWLEDGEMENTS
f3(z,e,n9) = 0 = gAS0 + (Z2(yR) - z) - gn92Z4(yR).
(33)
The research described and the results presented herein,
The details are otherwise identical.
unless otherwise noted, were obtained from research
funded through the Scour Holes at Inlet Structures work
unit of the Coastal Inlets Research Program at the US
Army Engineer Research and Development Center,
Coastal and Hydraulics Laboratory (CHL). Permission
was granted by Headquarters, US Army Corps of
CONCLUSIONS
Engineers, to publish this information.
An analysis of the lateral structure at uniform flow in a
channel has been based on the depth-integrated long wave
equations. At uniform flow, it is shown that the cross-
stream depth-integrated flow qy is identically zero and that
REFERENCES
the lateral profile of the water surface is horizontal.
The lateral distribution of the streamwise depth-
Fischer, H. B., List, J. L., Brooks, N. H., Imberger, J. I. & Koh,
integrated flow qx is shown to follow a boundary-layer-
R. C. Y. 1979. Mixing in Inland and Coastal Waters. Academic,
New York.
style equation, where the lateral structure responds to
Henderson, F. M. 1966. Open Channel Flow. MacMillan, New York.
shear diffusion from the channel sides.
Press, W. H., Teukolsky, S. A., Vetterling, W. T. & Flannery, B. P.
Uniform flow is described by the channel discharge Q,
1992. Numerical Recipes in FORTRAN: The Art of Scientific
the bed slope S0 and the channel (cross-section-
Computing, 2nd edn. Cambridge University Press, Cambridge.
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