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The effect of angle on free coating of pseudoplastic liquids

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Progress and Trends in Rheology II

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Abstract

A theoretical treatment is presented to obtain the relationship between the flow parameters of liquid entrainment from a bath of pseudoplastic liquid. A nonlinear method combined with the thin film approximation is applied. The resulting equation allows the prediction of the dimensionless film thickness as a function of the capillary number Ca, physical and rheological properties of the liquid and the withdrawal angle.

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Abbreviations

a:

meniscus thickness

a 0 :

constant film thickness

Ca:

capillary number

g:

acceleration of gravity

h:

dimensionless meniscus thickness

hs :

dimensionless thickness at stagnation point

K:

consistency factor

n:

flow behaviour index

P:

hydrostatic pressure

P 0 :

static pressure of air

Q:

liquid flux

R:

radius of curvature of free surface

Re:

Reynolds number

T:

dimensionless film thickness

u:

vertical velocity of liquid

u 0 :

withdrawal speed

Ï…:

horizontal velocity of liquid

x:

vertical coordinate

y:

horizontal coordinate

z:

dimensionless vertical coordinate

α:

withdrawal angle

γ:

dimensionless parameter

ϱ:

density of liquid

σ:

surface tension

Ï„:

shear stress

References

  1. Tekic MN, Popadic V (1983) Chem Eng Sci 38: 285

    Article  Google Scholar 

  2. Esmail MN, Hummel RL (1975) AIChE J 21: 958

    Article  Google Scholar 

  3. Landau L, Levich B (1942) Acta Phys 17: 41

    Google Scholar 

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Author information

Authors and Affiliations

  1. Faculty of Technology, YU-21000, Novi Sad, Yugoslavia

    M. N. Tekić & S. Jovanović

Authors
  1. M. N. Tekić
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  2. S. Jovanović
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Editor information

Editors and Affiliations

  1. Dortmund, Germany

    Hanswalter Giesekus (Executive Editor) & Mark Francis Hibberd Ph. D. (Co-Editor) (Executive Editor) &  (Co-Editor)

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© 1988 Springer-Verlag Berlin Heidelberg

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Tekić, M.N., Jovanović, S. (1988). The effect of angle on free coating of pseudoplastic liquids. In: Giesekus, H., Hibberd, M.F. (eds) Progress and Trends in Rheology II. Steinkopff, Heidelberg. https://doi.org/10.1007/978-3-642-49337-9_38

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  • DOI: https://doi.org/10.1007/978-3-642-49337-9_38

  • Publisher Name: Steinkopff, Heidelberg

  • Print ISBN: 978-3-642-49339-3

  • Online ISBN: 978-3-642-49337-9

  • eBook Packages: Springer Book Archive

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