This paper presents a theoretical and laboratory study of plane turbulent surface jets in shallow tailwater. The main objective was to show that when the depth of tailwater is finite, the momentum flux in the forward flow in the surface jet decays appreciably with the distance from the nozzle producing the surface jet. This decay is shown to be due to the entrainment of the return flow which has negative momentum and an increase in the tailwater depth further away from the nozzle produces this return flow. An extensive set of experiments, with different Froude numbers and offset ratios, was conducted to observe and quantify the growth of the surface jet, the decay of the velocity scale, and the momentum flux and the variation of the volume flux. On the whole, the results from this study highlight the effect of the tailwater depth on the behavior of plane turbulent surface jets when the ambient fluid has a limited extent.

1.
Albertson
,
M. L.
,
Dai
,
Y. B.
,
Jensen
,
R. A.
, and
Rouse
,
H.
,
1950
, “
Diffusion of submerged jets
,”
Trans. Am. Soc. Civ. Eng.
,
115
, pp.
639
664
.
2.
Schlichting, H., 1960, Boundary Layer Theory, 4th edition, McGraw-Hill, New York.
3.
Rajaratnam, N., 1976, Turbulent Jets, Elsevier, The Netherlands.
4.
Miller
,
D. R.
, and
Comings
,
E. W.
,
1957
, “
Static pressure distribution in the free turbulent jet
,”
J. Fluid Mech.
,
3
, No.
10
, pp.
1
16
.
5.
Goldschmidt
,
V.
, and
Eskinazi
,
S.
,
1966
, “
Two phase turbulent flow in a plane jet
,”
ASME J. Appl. Mech.
,
33
, No.
4
, pp.
735
747
.
6.
Heskestad
,
G.
,
1965
, “
Hot wire measurements in a plane turbulent jet
,”
ASME J. Appl. Mech.
,
32
, No.
4
, pp.
721
734
.
7.
Kotsovinos, N. E., 1975, “
A Study of the Entrainment and Turbulence in a Plane Turbulent Jet
,” W. M. Keck Lab. Hydr. Water Resources, Calif. Inst. Technical Report No. KH R-32.
8.
Kotsovinos
,
N. E.
,
1978
, “
A note on the conservation of the axial momentum of a turbulent jet
,”
J. Fluid Mech.
,
87
, No.
7
, pp.
55
63
.
9.
Schneider
,
W.
,
1985
, “
Decay of momentum flux in submerged jets
,”
J. Fluid Mech.
,
154
, No.
5
, pp.
91
110
.
10.
Swean
,
T. F.
Jr.
,
Ramberg
,
S. E.
,
Plesniak
,
M. W.
, and
Stewart
,
M. B.
,
1989
, “
Turbulent surface jet in channel of limited depth
,”
J. Hydraul. Engr., Am. Soc. Civ. Eng.
,
115
, No.
12
, pp.
1587
1606
.
11.
Vanvari, M. R., and Chu, V. H., 1974, “
Two-Dimensional Turbulent Surface Jets of Low Richardson Number
,” Technical Report No. 74-2 [FML], Fluid Mech. Lab., Dept. of Civ. Engrg. and Appl. Mech., McGill Univ., Montreal, Canada.
12.
Rajaratnam
,
N.
, and
Humphries
,
J. A.
,
1984
, “
Turbulent non-buoyant surface jet
,”
J. Hydraul. Res.
,
22
, No.
2
, pp.
103
115
.
13.
Ead
,
S. A.
, and
Rajaratnam
,
N.
,
1998
, “
A double leaf gate for energy dissipation below regulators
,”
J. Hydraul. Engr., Am. Soc. Civ. Eng.
,
124
, No.
11
, pp.
1134
1145
.
14.
Kline
,
S. J.
, and
McClintock
,
F. A.
,
1953
, “
Describing uncertainties in single-sample experiments
,”
Mech. Eng. (Am. Soc. Mech. Eng.)
,
75
, pp.
3
8
.
15.
Kline
,
S. J.
,
1985
, “
The purposes of uncertainty analysis
,”
ASME J. Fluids Eng.
,
107
, pp.
153
160
.
16.
Chue
,
S. H.
,
1975
, “
Pressure probes for fluid measurement
,”
Prog. Aerosp. Sci.
16
, No.
2
, pp.
147
223
.
17.
Rajaratnam
,
N.
,
1969
, “
Diffusion of a supercritical stream on a stagnant pool
,”
Trans. Eng. Inst. Canada
,
12
, No.
A-1
, pp.
1
5
.
18.
Wu
,
S.
, and
Rajaratnam
,
N.
,
1995
, “
Effect of baffles on submerged flows
,”
J. Hydraul. Div., Am. Soc. Civ. Eng.
,
121
, No.
9
, pp.
644
652
.
19.
Ead, S. A., 1998, “Plane Turbulent Jets in Shallow Tailwater and Their Application to Energy Dissipation,” Ph.D. thesis, University of Alberta, AB, Canada.
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