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Breakup of an anomolously viscous liquid film in a centrifugal force field

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Journal of engineering physics Aims and scope

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.

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Abbreviations

K, n:

rhenological constants

ρ :

density

σ:

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

δ 0,δ c :

actual and critical film thicknesses

δ:

current thickness

Rr :

ridge radius

h0 :

ridge height

h:

current ridge height

θ 0 :

limiting wetting angle

θ :

current angle of tangent to ridge surface

α :

angle between axis of rotation and tangent to cup surface

ω :

angular velocity of rotation

q:

volume liquid flow rate

v1 and vϕ :

meridional and tangential velocities

β=4vv lm/ωr,ψ=4vϕm/ωr:

dimensionless velocities

Mω :

moments of surface and centrifugal forces

Mv :

moment from velocity head

pr :

pressure within ridge

Pvm :

pressure from velocity head

pωm, ppm :

pressures from centrifugal force components tangent and normal to cup surface

Δ:

deviation range of breakup radius from calculated value

¯rmax, ¯rmin :

limiting deviations of breakup radius

αc :

angle of tangent to curve δc/°0=f(¯r) at critical point

t:

random oscillation of ratio δc/δc

Literature cited

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  4. I. M. Nafikov and N. Kh. Zinnatullin, “Toward the hydrodynamics of rotating apparatus,” Tr. Kazan. Khim. Tekh. Inst., No. 55, 63–68 (1975).

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Author information

Authors and Affiliations

  1. S. M. Kirov Kazan' Chemicotechnological Institute, USSR

    I. M. Nafikov & N. Kh. Zinnatullin

Authors
  1. I. M. Nafikov
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  2. N. Kh. Zinnatullin
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Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 39, No. 1, pp. 51–56, July, 1980.

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Nafikov, I.M., Zinnatullin, N.K. Breakup of an anomolously viscous liquid film in a centrifugal force field. Journal of Engineering Physics 39, 750–754 (1980). https://doi.org/10.1007/BF00821828

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  • DOI: https://doi.org/10.1007/BF00821828

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