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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 1999, Volume 40, Issue 3, Pages 90–96
(Mi pmtf3081)
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This article is cited in 1 scientific paper (total in 1 paper)
Stability of a laminar rivulet liquid flow in a cylindrical duct in the approximation of one-dimensional waves
P. I. Geshev, A. A. Cherepanov Kutateladze Institute of Thermal Physics, Siberian Division, Russian Academy of Sciences, Novosibirsk 630090
Abstract:
The problem of the stability of a viscous laminar liquid flow with a liquid free surface in an inclined duct is theoretically considered. Since the dependence of the flow rate on the free-surface height is not monotonic (the highest flow rate in a cylindrical duct is observed at $H_*=1.7R$), primary attention is given to the region $H>H_*$. It is proved that there is aw region of instability: for an arbitrarity low Reynolds number, there is a free-surface level above which the flow becomes unstable against one-dimensional disturbances. When the height of the liquid layer is close to the vertical dimension of the duct, the one-dimensional disturbances propagate mainly upstream (for moderate Reynolds numbers). Hence it follows that there is not steady regime of liquid flow from a fully filled duct with an open end.
Received: 23.06.1997
Citation:
P. I. Geshev, A. A. Cherepanov, “Stability of a laminar rivulet liquid flow in a cylindrical duct in the approximation of one-dimensional waves”, Prikl. Mekh. Tekh. Fiz., 40:3 (1999), 90–96; J. Appl. Mech. Tech. Phys., 40:3 (1999), 439–444
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https://www.mathnet.ru/eng/pmtf3081 https://www.mathnet.ru/eng/pmtf/v40/i3/p90
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