This paper reports on experimental and computational investigations of water flow over two-dimensional obstacles in an open channel. Both triangular and semi-circular obstacles are considered in order to study the effects of obstacle type and size on the flow. The upstream flow is subcritical while the downstream flow is supercritical in all the cases discussed. The results of the experiments indicate that the downstream Reynolds number increases and appears to approach an asymptotic value as the obstacle height is increased. The upstream Reynolds number, on the other hand, decreases linearly as the obstacle height is increased. For the cases involving triangular obstacles, comparisons are presented between the results of the experimental measurements and the computational simulations as well as with available analytical solutions for inviscid flow. The comparisons point to the conclusion that the fluid rotational activity has a negligible effect on the overall flow in the open channel.

1.
Cahouet, J., and Lenoir, M., 1983, “Numerical Solution of the 2-D Non Linear Wave Resistance Problem,” Comptes Rendus de l’Academie des Sciences, Paris, 297, pp. 819–822.
2.
Chen, S., 1991, “The SMU Method: A Numerical Scheme for Calculating Incompressible Free Surface Fluid Flows by the Surface Marker Utility,” Ph.D. Dissertation, Mechanical Engineering Department, Southern Methodist University, Dallas, Texas.
3.
Chen
S.
,
Johnson
D. B.
, and
Raad
P. E.
,
1995
, “
Velocity Boundary Conditions For the Simulation of Free Surface Fluid Flow
,”
Journal of Computational Physics
, Vol.
116
, No.
2
, pp.
262
276
.
4.
Chen, S., Johnson, D. B., Raad, P. E., and Fadda, D., 1997, “The Surface Marker and Micro Cell Method,” International Journal for Numerical Methods in Fluids, in press.
5.
Cole
S. L.
,
1983
, “
Near Critical Free Surface Flow Past an Obstacle
,”
Quarterly of Applied Mathematics
, Vol.
41
, pp.
301
309
.
6.
Dias
F.
,
Keller
J. B.
, and
Vanden-Broeck
J. M.
,
1988
, “
Flow Over Rectangular Weirs
,”
Physics of Fluids
, Vol.
31
, pp.
2071
2076
.
7.
Dias
F.
, and
Vanden-Broeck
J. M.
,
1989
, “
Open Channel Flow with Submerged Obstacles
,”
Journal of Fluid Mechanics
, Vol.
206
, pp.
155
170
.
8.
Forbes
L. K.
, and
Schwartz
L. W.
,
1982
, “
Free-surface Flow Over a Semicircular Obstruction
,”
Journal of Fluid Mechanics
, Vol.
114
, pp.
299
314
.
9.
Johnson
D. B.
,
Raad
P. E.
, and
Chen
S.
,
1994
, “
Simulation of Impacts of Fluids Free Surfaces with Solid Boundaries
,”
International Journal for Numerical Methods in Fluids
, Vol.
19
, pp.
153
176
.
10.
Lee
H. Y.
, and
Tsai
S. Y.
,
1992
, “
Experimental Investigation on Flow Passing a Rectangular Pit in an Open Channel Flow
,”
Journal of the Chinese Institute of Engineers
, Vol.
15
, pp.
391
397
.
11.
Potter, M. C., and Wiggert, D. C., 1991, Mechanics of Fluids, p. 440. Prentice-Hall, New Jersey.
12.
Raad
P. E.
,
Chen
S.
, and
Johnson
D. B.
,
1995
, “
The Introduction of Micro Cells to Treat Pressure in Free Surface Fluid Flow Problems
,”
ASME JOURNAL OF FLUIDS ENGINEERING
, Vol.
117
, pp.
683
690
.
13.
Vanden-Broeck
J. M.
,
1987
, “
Free-surface Flow Over an Obstacle in a Channel
,”
Physics of Fluids
, Vol.
30
, pp.
2315
2317
.
14.
Vanden-Broeck
J. M.
, and
Keller
J. B.
,
1986
, “
Pouring Flows
,”
Physics of Fluids
, Vol.
29
, pp.
3958
3961
.
15.
Xingkui
W.
, and
Fontijn
H. L.
,
1993
, “
Experimental Study of the Hydrodynamic Forces on a Bed Element in an Open Channel With a Backward Facing Step
,”
Journal of Fluids and Structures
, Vol.
7
, pp.
299
318
.
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