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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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.
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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.
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Critical speed versus the pipe diameter (see list of symbols in Table 1)
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Modified Reynolds number (2) computed for U=Uc versus K (4) (see list of symbols in Table 1.)
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Modified Froude number (3) computed for U=Uc versus K (4) (see list of symbols in Table 1.)




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