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The hydrodynamics of the spreading of one liquid on the surface of another

Published online by Cambridge University Press:  12 April 2006

N. D. Dipietro ,
C. Huh  and
R. G. Cox
N. D. Dipietro
Affiliation:
Pulp and Paper Research Institute of Canada and Department of Civil Engineering, McGill University, Montreal, Quebec, Canada Present address: Gulf Oil Canada Ltd, Varennes, Quebec.
C. Huh
Affiliation:
Pulp and Paper Research Institute of Canada and Department of Civil Engineering, McGill University, Montreal, Quebec, Canada Present address: Exxon Production Research Company, Houston, Texas.
R. G. Cox
Affiliation:
Pulp and Paper Research Institute of Canada and Department of Civil Engineering, McGill University, Montreal, Quebec, Canada
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Abstract

The mechanisms involved in the spreading of one liquid on the surface of another are considered for the case of a positive spreading coefficient. Taking into account the effects of gravity, capillary pressure and the spreading coefficient, the general equations determining the spreading are derived. These are then solved for the situation where the spreading liquid is introduced onto the surface of a uniformly flowing substratum at a position upstream of a barrier on the substratum surface. In this manner a steady-state situation is achieved for which the variation of spreading-liquid thickness with position is obtained as a function of the deposited volume of spreading liquid and the velocity of the substratum.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 84 , Issue 3 , 13 February 1978 , pp. 529 - 549
Copyright
© 1978 Cambridge University Press

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References

Adamson, A. W. 1967 Physical Chemistry of Surfaces, chap. 3. Interscience.
Ahmad, J. & Hansen, R. S. 1972 J. Colloid Interface Sci. 38, 601.
Banks, W. H. 1957 Proc. 2nd Int. Cong. Surface Activity, vol. 1, p. 16. Butterworth, London.
Buckmaster, J. 1973 J. Fluid Mech. 59, 481.
Burgers, W. G., Greup, D. H. & Korvezee, A. E. 1950 Recueil 69, 921.
Fay, J. A. 1969 The spread of oil slicks on a calm sea. In Oil on the Sea (ed. D. P. Hoult), pp. 53–63. Plenum.
Garrett, W. D. & Barger, W. R. 1970 Envir. Sci. Tech. 4, 123.
Guttenberg, W. Von 1941 Z. Phys. 118, 22.
Harkins, W. D. 1952 The Physical Chemistry of Surface Films. Reinhold.
Hoult, D. P. 1972 Ann. Rev. Fluid Mech. 4, 341.
Hoult, D. P. & Suchon, W. 1970 The spread of oil in a channel. Fluid Mech. Lab. Rep., Dept. Mech. Engng, MIT.
Huh, C., Inoue, M. & Mason, S. G. 1975 Can. J. Chem. Engng 53, 367.
Landt, E. & Volmer, M. 1926 Z. Phys. Chem. 122, 398.
Langmuir, I. 1936 Science 84, 379.
Lugton, F. D. & Vines, R. G. 1960 Austr. J. Appl. Sci. 11, 497.
Mccutchen, C. W. 1970 Science 170, 61.
Mcdowell, R. S. & Mccutchen, C. W. 1971 Science 172, 973.
Mar, A. & Mason, S. G. 1968 Kolloid Z.Z. Polymere 225, 55.
Marwedel, G. & JEBSEN-MARWEDEL, H. 1961 Farbe u. Lack 67, 276.
Mercer, E. H. 1939 Proc. Phys. Soc. 51, 561.
Pujado, P. R. & Scriven, L. E. 1972 J. Colloid Interface Sci. 40, 82.
Schlichting, H. 1968 Boundary Layer Theory. McGraw-Hill.
Scriven, L. E. 1960 Chem. Engng Sci. 12, 98.
Sellin, R. H. J. 1968 Nature 217, 536.
Sheludko, A. 1966 Colloid Chemistry, chap. 6. Elsevier.
Wicks, M. 1969 Proc. Joint Conf. Prevention Control Oil Spills, API & FWPCA, New York.
Zisman, W. A. 1941 J. Chem. Phys. 9, 534.