Breakup of an anomolously viscous liquid film in a centrifugal force field |
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Authors: | I M Nafikov N Kh Zinnatullin |
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Affiliation: | (1) S. M. Kirov Kazan' Chemicotechnological Institute, USSR |
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Abstract: | An equation is obtained for the breakup radius with consideration of tipping moments and Laplacian pressure forces acting on the liquid ridge at the critical point.Notation K, n
rhenological constants
-
density
-
surface tension
- r
current cup radius
- R
maximum cup radius
- rc
critical radius for film breakup
- ¯r=¯r=r/R
dimensionless current radius
- ¯rc=rc/R
dimensionless critical radius
-
0,
c
actual and critical film thicknesses
-
current thickness
- Rr
ridge radius
- h0
ridge height
- h
current ridge height
-
0
limiting wetting angle
-
current angle of tangent to ridge surface
-
angle between axis of rotation and tangent to cup surface
-
angular velocity of rotation
- q
volume liquid flow rate
- v1 and v
meridional and tangential velocities
-
=4vv
lm/ r, =4v m/ r
dimensionless velocities
- M
moments of surface and centrifugal forces
- Mv
moment from velocity head
- pr
pressure within ridge
- Pvm
pressure from velocity head
- p m, ppm
pressures from centrifugal force components tangent and normal to cup surface
-
deviation range of breakup radius from calculated value
- ¯rmax, ¯rmin
limiting deviations of breakup radius
- c
angle of tangent to curve c/°0=f(¯r) at critical point
- t
random oscillation of ratio c/ c
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 39, No. 1, pp. 51–56, July, 1980. |
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Keywords: | |
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