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][
][
Shettar , Murthy
K-
][
Brakdol
][
HSU
][
WCcW
Cc
Ramamurthy
][
R=0.31
][
0)(
Udiv
t
( )
ji
j
i
j
xi
ij
ij
i uux
u
xg
x
P
x
uu
t
u ''1
( )
1.68m
1.0m
1.75m
ui(j)ij t
P
gxixi
jiuu ''
FLUENT
C
SIMPLE
Standard
][
K-K-RSM
Gambit2.0
k-RSM
k-
][
k-RSM
k-
][
K-K-RSM
RSM
k-
],[
RSM
K- K-
X1
][
X*
Y*
Tecplot
b/B=0.5R=0.31
b/B=0.5R=0.52
b/B=0.5R=0.81
b/B=1.0R=0.31
b/B=1.0R=0.52
b/B=1.0R=0.81
-
],[
R=0.31SwSL
FrRR2
Sw/bb/BR=0.31
SL/bb/BR=0.31
eB
bd
B
bc
b
S
b
S WL
2
)(
e d c R
-0.101 0.605 -0.142 SW/b 0.31
-0.197 5.510 -1.535 SL/b
-0.058 0.408 -0.069 SW/b 0.52
0.373 3.333 -0.833 SL/b
-0.077 0.343 -0.042 SW/b 0.81
0.430 2.994 -0.770 SL/b
(R2)
fe
d
W RFrB
bc
b
S
fe
d
L RFrB
bc
b
S
Sw/b = -0.142(b/B)2 + 0.605(b/B) -0.101 R² = 0.971
0.0
0.5
1.0
0 1 2
SW
/b
b/B
Fr= 0.152 Fr=0.204 Fr=0.291
SL/b = -1.535(b/B)2 + 5.51(b/B) -0.197 R² = 0.989
2
5
8
0 1 2
SL/b
b/B
Fr= 0.152 Fr=0.204 Fr=0.291
0.27 0.15 0.02 z
parameter
0.2190.2000.106c
0.8140.7570.874d
-0.004-0.1660.050e
-0.3590.333-1.011f
0.933 0.926 0.875 R2
0.27 0.15 0.02 R
parameter
2.3021.8460.652 c
0.4770.4300.726d
-0.0010.0350.119e
-0.378-0.618-1.531f
0.889 0.865 0.846 R2
Singular
=30R=0.31
=30R=0.52
=30R=0.81
=60R=0.31
=60R=0.52
=60R=0.81
Sw/bR=0.52
/bSLR=0.52
edcb
S
b
S WL 2)(
e d c R
-0.201 0.028 -0.0003 SW/b 0.31
1.253 0.132 -0.0013 SL/b
-0.222 0.045 -0.0006 SW/b 0.52
3.385 0.032 -0.0006 SL/b
-0.157 0.027 -0.0003 SW/b 0.81
2.579 -0.051 0.0008 SL/b
Sw/b = -0.00062 + 0.0575 - 0.7758 R2 = 0.7698
0.0
0.5
1.0
20 40 60 80
Sw/b
R=0.52
Fr=0.152 Fr=0.204 Fr=0.292
SL/b = -0.00062 + 0.0693 + 1.719 R2 = 0.797
2
3.5
5
20 40 60 80
SL/b
R=0.52
Fr=0.152 Fr=0.204 Fr=0.292
b/B
1 - Neary,V. S., Odgaard, A. and Sotiropoulos, F. (1999). “Three-dimensional numerical model of lateral- intake
inflows.” ASCE, J. Hydr. Eng., Vol. 125, No. 2, PP. 126-140.
2 - Murthy, K. K. and Shettar, A. S. (1996). “A Numerical study of division of flow in open channel.” J. Hydr.
Res., Vol. 34, No. 5, PP. 651-675.
3 - Brakdoll, B. D., Hagen, B. L. and Odgaard, A. J. (1998). “Experimental comparison of dividing open-channel
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Width open-channel dividing flow.” ASCE, J. Hydr . Eng . Vol. 128, No. 7, PP. 716-720.
5 - Ramamurthy, A. S., Junying Qu. and Diep, VO. (2007). “Numerical and Experimental Study of Dividing
Open-Channel Flows.” ASCE, J. Hydr. Res., Vol.133, No.10, PP. 1135-1144.
6 - FLUENT user’s guide manual-version 6.1., (2003). Fluent Incorporated, N.H.
7 - Pirzadeh, B. (2008). Numerical Investigation of Hydraulics of Lateral River Intakes, M.S.C thesis, K.N.Toosi
University of Technology.
8 - Shamloo, H. and Pirzadeh, B. (2007). “Investigation of Characteristics of Separation Zones in T-Junctions.”
Proceedings of the 12th
WSEAS International Conference on APPLIED MATHEMATICS”, Cairo, Egypt,
Desember29-31, PP. 189-193.
9 - Shamloo, H. and Pirzadeh, B. (2007). “Numerical investigation of Velocity Field in Dividing Open-Channel
Flow.” Proceedings of the 12th
WSEAS International Conference on APPLIED MATHEMATICS”, Cairo,
Egypt, Desember29-31, PP. 194-198.