A small scale experiment was designed to study the propagation of the front of a viscous fluid filling a curved pipe. Several Newtonian fluids with different viscosities and a non-Newtonian fluid have been used. The experiments show that there exists a minimum speed for completely filling the pipe, which depends on the parameters of the experiment (diameter d and radius of curvature R of the pipe, kinematic viscosity ν of the fluid). Appropriate dimensionless numbers are introduced to characterize the flow and optimal filling conditions.

1.
Berger
,
S. A.
,
Talbot
,
L.
, and
Yao
,
L.-S.
,
1983
, “
Flow in curved pipes
,”
Annu. Rev. Fluid Mech.
,
15
, pp.
461
512
.
2.
Soh
,
W. Y.
, and
Berger
,
S. A.
,
1984
, “
Laminar entrance flow in a curved pipe
,”
J. Fluid Mech.
,
148
, pp.
109
135
.
3.
Olson
,
D. E.
, and
Snyder
,
B.
,
1985
, “
The upstream scale of flow development in curved circular pipes
,”
J. Fluid Mech.
,
150
, pp.
139
158
.
4.
Ishigaki
,
H.
,
1994
, “
Analogy between laminar flows in curved pipes and orthogonally rotating pipes
,”
J. Fluid Mech.
,
268
, pp.
133
145
.
5.
Popiel
,
C. O.
, and
van der Merwe
,
D. F.
,
1996
, “
Friction factor in sine-pipe flow
,”
ASME J. Fluids Eng.
,
118
, pp.
341
345
.
6.
Majumdar
,
B.
,
Mohan
,
R.
,
Singh
,
S. M.
, and
Agrawal
,
D. P.
,
1998
, “
Experimental study of flow in a high aspect ratio 90 deg curved diffuser
,”
ASME J. Fluids Eng.
,
120
, pp.
83
89
.
7.
Chanson
,
H.
,
1997
Air-water flows in partially-filled conduits
,”
J. Hydraul. Res.
35
, No.
5
, pp.
591
602
.
8.
Capart
,
H.
,
Sillen
,
X.
, and
Zech
,
Y.
,
1997
, “
The design of sewage sludge pumping systems
,”
J. Hydraul. Res.
,
35
, No.
5
, pp.
659
672
.
9.
Woods
,
B. D.
, and
Hanratty
,
T. J.
,
1999
, “
Influence of Froude number on physical processes determining frequency of slugging in horizontal gas-liquid flows
,”
Int. J. Multiphase Flow
,
25
, No.
6-7
, pp.
1195
1223
.
10.
Taitel
,
Y.
,
Sarica
,
C.
, and
Brill
,
J. P.
,
2000
, “
Slug flow modeling for downward inclined pipe flow: theoretical considerations
,”
Int. J. Multiphase Flow
,
26
, No.
5
, pp.
833
844
.
11.
Benjamin
,
T. B.
,
1968
, “
Gravity currents and related phenomena
,”
J. Fluid Mech.
,
31
, pp.
209
248
.
12.
Simpson
,
J. E.
,
1982
, “
Gravity currents in the laboratory, atmosphere, and ocean
,”
Annu. Rev. Fluid Mech.
,
14
, pp.
213
234
.
13.
Asavenant
,
J.
, and
Vanden-Broeck
,
J.-M.
,
1996
, “
Nonlinear free-surface flows emerging from vessels and flows under a sluice gate
,”
J. Austral. Math. Soc., B
38
, pp.
63
86
.
14.
Vanden-Broeck
,
J.-M.
, and
Keller
,
J. B.
,
1987
, “
Weir flows
,”
J. Fluid Mech.
,
176
, pp.
283
293
.
15.
Dean
,
W. R.
,
1927
, “
Note on the motion of fluid in a curved pipe
,”
Philos. Mag.
,
20
, pp.
208
223
.
16.
Chilton
,
R.
,
Stainsby
,
R.
, and
Thompson
,
S.
,
1996
, “
The design of sewage sludge pumping systems
,”
J. Hydraul. Res.
,
34
, No.
3
, pp.
395
408
.
17.
Chilton
,
R.
, and
Stainsby
,
R.
,
1998
, “
Pressure loss equations for laminar and turbulent non-Newtonian pipe flow
,”
J. Hydraul. Eng.
,
124
, No.
5
, pp.
522
529
.
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