Flow Filling a Curved Pipe

[+] Author and Article Information
H. Michallet, C. Mathis, P. Maïssa, F. Dias

Institut Non-Linéaire de Nice, UMR 6618 - CNRS and UNSA, 1361, route des Lucioles, 06560 Valbonne, France

J. Fluids Eng 123(3), 686-691 (Feb 28, 2001) (6 pages) doi:10.1115/1.1374442 History: Received August 04, 1999; Revised February 28, 2001
Copyright © 2001 by ASME
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Berger,  S. A., Talbot,  L., and Yao,  L.-S., 1983, “Flow in curved pipes,” Annu. Rev. Fluid Mech., 15, pp. 461–512.
Soh,  W. Y., and Berger,  S. A., 1984, “Laminar entrance flow in a curved pipe,” J. Fluid Mech., 148, pp. 109–135.
Olson,  D. E., and Snyder,  B., 1985, “The upstream scale of flow development in curved circular pipes,” J. Fluid Mech., 150, pp. 139–158.
Ishigaki,  H., 1994, “Analogy between laminar flows in curved pipes and orthogonally rotating pipes,” J. Fluid Mech., 268, pp. 133–145.
Popiel,  C. O., and van der Merwe,  D. F., 1996, “Friction factor in sine-pipe flow,” ASME J. Fluids Eng., 118, pp. 341–345.
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.
Chanson,  H., 1997 “Air-water flows in partially-filled conduits,” J. Hydraul. Res. 35, No. 5, pp. 591–602.
Capart,  H., Sillen,  X., and Zech,  Y., 1997, “The design of sewage sludge pumping systems,” J. Hydraul. Res., 35, No. 5, pp. 659–672.
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.
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.
Benjamin,  T. B., 1968, “Gravity currents and related phenomena,” J. Fluid Mech., 31, pp. 209–248.
Simpson,  J. E., 1982, “Gravity currents in the laboratory, atmosphere, and ocean,” Annu. Rev. Fluid Mech., 14, pp. 213–234.
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.
Vanden-Broeck,  J.-M., and Keller,  J. B., 1987, “Weir flows,” J. Fluid Mech., 176, pp. 283–293.
Dean,  W. R., 1927, “Note on the motion of fluid in a curved pipe,” Philos. Mag., 20, pp. 208–223.
Chilton,  R., Stainsby,  R., and Thompson,  S., 1996, “The design of sewage sludge pumping systems,” J. Hydraul. Res., 34, No. 3, pp. 395–408.
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.


Grahic Jump Location
Diagram of the flow and notation. The interface is shown at two different times in solid and dotted lines.
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Dynamic viscosity η of the gel versus the shear stress γ̇. Its density is ρ=1.03 g/cm3. We note that this fluid is very viscous in the conditions of our experiments (we can estimate roughly that γ̇∼2U/d is less than 10 s−1). Measurements have been performed with a plane-plane viscosimeter at Ecole des Mines de Paris (CEMEF, Sophia Antipolis).
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Speed of the front propagation v versus the mean entrance velocity U(d=1.5 cm; see list of symbols in Table 1). The straight lines are fitted curves by quadratic means.
Grahic Jump Location
Critical speed versus the pipe diameter (see list of symbols in Table 1)
Grahic Jump Location
Steady two-dimensional flow past a cavity. (a) Solution with the free surface leaving the wall with a 60 degree angle. (b) Solution with the free surface leaving the wall tangentially. The point C denotes the detachment point.
Grahic Jump Location
Modified Reynolds number (2) computed for U=Uc versus K (4) (see list of symbols in Table 1.)
Grahic Jump Location
Modified Froude number (3) computed for U=Uc versus K (4) (see list of symbols in Table 1.)




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