In this study, an investigation using a three-dimensional numerical model, which treats conservation of mass, momentum, and salinity simultaneously, was carried out to study the character of a vertical forced plume in a uniform cross-stream of stably linear stratified environment. A k-ε turbulence model was used to simulate the turbulent phenomena and close the solving problem. The performance of the three-dimensional model is evaluated by comparison of the numerical results with some available experimental measurements. Results indicate that the numerical computation simulates satisfactorily the plume behavior in a stratified crossflow. The secondary vortex pairs in the cross section induced by the primary one change as the plume flows downstream. This denotes the transformation of entrainment mechanism in stratified crossflow.

Issue Section:
Research Papers
Topics:
Computer simulation, Fluids, Plumes (Fluid dynamics), Turbulence, Computation, Flow (Dynamics), Momentum, Three-dimensional models, Vortices
1.
Abraham
G.
,
1965
, “
Entrainment Principle and its Restriction to Solve Jet Problems
,”
Journal of Hydraulic Research
, Vol.
31
, pp.
1
–
23
.
2.
Andreopoulos
J.
,
1983
, “
Heat Transfer Measurements in a Heated Jet-Pipe Flow Issuing Into a Cold Cross Stream
,”
Phys. Fluids
, Vol.
26
, pp.
3201
–
3210
.
3.
Andreopoulos
J.
, and
Rodi
W.
,
1984
, “
Experimental Investigation of Jets in a Crossflow
,”
Journal of Fluid Mechanics
, Vol.
138
, pp.
93
–
127
.
4.
Chen, C. J., 1983, “Prediction of Turbulent Flows,” Central Research Institute of Electric Power Industry Tech. Report 17, Abiko, Japan.
5.
Demuren
A. O.
,
1983
, “
Numerical Calculations of Steady Three-Dimensional Turbulent Jets in Crossflow
,”
Computer Methods in Applied Mechanics and Engineering
, Vol.
37
, pp.
309
–
328
.
6.
Harlow
F. H.
, and
Welch
J. E.
,
1965
, “
Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
,”
Physical Fluids
, Vol.
8
, pp.
2182
–
2189
.
7.
Hwang
R. R.
, and
Chiang
T. P.
,
1986
, “
Buoyant Jets in a Crossflow of Stably Stratified Fluid
,”
Atmospheric Environment
, Vol.
20
, pp.
1887
–
1890
.
8.
Launder
B. E.
, and
Spalding
D. B.
,
1974
, “
The Numerical Prediction of Turbulent Flows
,”
Computer Methods in Applied Mechanics and Engineering
, Vol.
3
, pp.
269
–
289
.
9.
Li
W.
, and
Chen
C. J.
,
1985
, “
On Prediction of Characteristics for Vertical Round Buoyant Jets in Stably Linear Stratified Environment
,”
Journal of Hydraulic Research
, Vol.
23
, pp.
115
–
129
.
10.
Madni
I. K.
, and
Patcher
R. H.
,
1976
, “
Prediction of Turbulent Force Plumes Issuing Vertically into Stratified on Uniform Ambients
,”
ASME Journal of Heat Transfer
, Vol.
99
, pp.
99
–
104
.
11.
Mizutori, M., Katano, N., and Nakashiki, N., 1990, “Numerical Simulation of Vertical Forced Plume in Stratified Crossflow,” Proceedings of the 4th International Symposium on Refined Flow Modeling and Turbulence Measurement, Wu-Han, China, pp. 487–494.
12.
Patankar
S. V.
, and
Spalding
D. B.
,
1972
, “
A Calculation Procedure for Heat, Mass, and Momentum Transfer in Three-Dimensional Parabolic Flows
,”
International Journal of Heat and Mass Transfer
, Vol.
5
, pp.
1878
–
1806
.
13.
Patankar
S. V.
,
Basu
D. K.
, and
Alpay
S. A.
,
1977
, “
Prediction of the Three-Dimensional Velocity Field of a Deflected Turbulent Jet
,”
ASME JOURNAL OF FLUIDS ENGINEERING
, Vol.
99
, pp.
758
–
762
.
14.
Patankar
S. V.
,
1982
, “
A Calculation Procedure for Two-Dimensional Elliptic Situations
,”
Numerical Heat Transfer
, Vol.
4
, pp.
409
–
425
.
15.
Ramsey
J. W.
, and
Goldstein
R. J.
,
1971
, “
Interaction of a Heat Jet with a Deflecting Stream
,”
ASME Journal of Heat Transfer
, Vol.
93
, pp.
365
–
372
.
16.
Rodi
W.
, and
Srivatsa
S. K.
,
1980
, “
A Locally Elliptic Calculation Procedure for Three-Dimensional Flows and its Application to a Jet in a Crossflow
,”
Computer Methods in Applied Mechanics and Engineering
, Vol.
23
, pp.
67
–
83
.
17.
Rodi, W., 1984, “Turbulent Models and Their Applications in Hydraulics—A State of the Art Review,” International Association for Hydraulics Research, Delft.
18.
Schwartz
J.
, and
Tulin
M. P.
,
1972
, “
On the Mean Path of Buoyant Bent-Over Chimney Plumes
,”
Atmospheric Environment
, Vol.
6
, pp.
19
–
36
.
19.
Sneck
H. J.
, and
Brown
D. H.
,
1974
, “
Plume Rise from Large Thermal Sources Such as Cooling Tower
,”
ASME Journal of Heat Transfer
, Vol.
96
, pp.
232
–
238
.
20.
Spalding
D. B.
,
1972
, “
A Novel Finite Differential Expression Involving Both First and Second Derivatives
,”
International Journal of Numerical Methods in Engineering
, Vol.
4
, pp.
551
–
559
.
21.
Sykes
R. I.
,
Lewellen
W. S.
, and
Parker
S. F.
,
1986
, “
On the Vorticity Dynamics of a Turbulent Jet in a Crossflow
,”
Journal of Fluid Mechanics
, Vol.
168
, pp.
393
–
413
.
22.
Van-Doormaal
J. P.
, and
Raithby
G. D.
,
1984
, “
Enhancements of the SIMPLE Method for Predicting Incompressible Fluid Flows
,”
Numerical Heat Transfer
, Vol.
7
, pp.
147
–
163
.
23.
Wright
S. J.
,
1984
, “
Buoyant Jets in Density-Stratified Crossflow
,”
Journal of Hydraulic Division
, ASCE, Vol.
110
, pp.
643
–
656
.
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