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On the motion of a small viscous droplet that wets a surface

  • H. P. Greenspan (a1)

A model for the movement of a small viscous droplet on a surface is constructed that is based on the lubrication equations and uses the dynamic contact angle to describe the forces acting on the fluid at the contact line. The problems analysed are: the spreading or retraction of a circular droplet; the advance of a thin two-dimensional layer; the creeping of a droplet or cell on a coated surface to a region of greater adhesion; the distortion of droplet shape owing to surface contamination. Relevant biological problems concerning cell movement and adhesion are described.

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Batchelor, G. K. 1976 Developments in microhydrodynamics. In Theoretical and Applied Mechanics (ed. W. T. Koiter), pp. 3355. North Holland.
Blake, T. D. & Haynes, J. M. 1969 Kinetics of liquid/liquid displacement. J. Colloid Interface Sci. 30, 421423.
Bragina, E. E., Vasiliev, J. M. & Gelfand, I. M. 1976 Formation of bundles of microfila-ments during spreading of fibroblasts in the substrate. Exp. Cell Res. 97, 241248.
Carter, S. B. 1967 Haptotaxis and the mechanism of cell motility. Nature 213, 256–260.
Dussan, V. E. B. 1976 The moving contact line: the slip boundary condition. J. Fluid Mech. 77, 665684.
Dussan, V. E. B. & Davis, S. H. 1974 On the motion of a fluid–fluid interface along a solid surface. J. Fluid Mech. 65, 7195.
Folkman, J. & Greenspan, H. P. 1976 Influence of geometry on control of cell growth. Biochem. Biophys. Acta 417, 211236.
Ghiradella, H. & Radigan, W. 1975 Electrical resistivity changes in spreading liquid film. J. Colloid Interface Sci. 51, 522526.
Greenspan, H. P. 1977 On the dynamics of cell cleavage. J. Theor. Biol. 65, 7999.
Harvey, E. N. 1954 Tension at the cell surface. Protoplasmatologia 2, 130.
Hiramoto, Y. 1968 The mechanics and mechanism of cleavage in the sea urchin egg. Symp. Soc. Exp. Biol. 22, 311327.
Hocking, L. M. 1976 A moving interface on a rough surface. J. Fluid Mech. 76, 801817.
Hoffman, R. L. 1975 A study of the advancing interface. J. Colloid Interface Sci. 50, 228241.
Huh, E. & Scriven, L. E. 1971 Hydrodynamic model of steady movement of a solid/liquid/fluid contact line. J. Colloid Interface Sci. 35, 85101.
Neogi, P. & Miller, C. A. 1976 Spreading kinetics of liquids on rough solid surfaces. J. Colloid Interface Sci. 56, 460468.
Pegrum, S. M. & Maroudas, N. G. 1975 Early events in fibroblast adhesion to glass. Exp. Cell Res. 96, 416422.
Schwartz, A. M. & Tejada, S. B. 1972 Studies of dynamic contact angle on solids. J. Colloid Interface Sci. 38, 359375.
Steinberg, M. S. 1963 Reconstruction of tissues by dissociated cells. Science 141, 401408.
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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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