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 of the fluid). Appropriate dimensionless numbers are introduced to characterize the flow and optimal filling conditions.
Issue Section:
Technical Papers
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
.Copyright © 2001
by ASME
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