Spreading of an axisymmetric viscous drop due to gravity and capillarity on a dry horizontal wall

S. N. Reznik, A. L. Yarin

Research output: Contribution to journalArticle

25 Citations (Scopus)

Abstract

Spreading of an axisymmetrical drop on a dry plane horizontal wall under the action of gravity and surface tension (or capillarity) is studied in the inertialess approximation for arbitrary Bond numbers. It is shown that the initial stage of spreading is completely dominated by gravity, and rolling motion sets in at the contact line (CL). When the rate of the CL motion reduces to the order of the characteristic wetting velocity expected from the Hoffman's well-known law, wetting effects begin to play an important role. However, the apparent contact angle at this stage is still affected by the bulk flow and only at its end approaches Hoffman's law. Deviations from the latter are shown to be important in the region of contact angles close to and to increase with the Bond number, owing the fact that the bulk flow effects driven by gravity are stronger, the higher the Bond number. Accordingly the apparent contact angle increases with the Bond number, which is in qualitative agreement with experimental observations. Comparison with known analytical solutions is presented.

Original languageEnglish
Pages (from-to)1437-1457
Number of pages21
JournalInternational Journal of Multiphase Flow
Volume28
Issue number9
DOIs
Publication statusPublished - 2002 Sep 1

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Keywords

  • Apparent contact angle
  • Bulk flow effect
  • Drop spreading
  • Moving contact line

ASJC Scopus subject areas

  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Fluid Flow and Transfer Processes

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