The linear stability of a drop of fluid during spin coating or subject to a jet of air

I.S. McKinley, S.K. Wilson

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

In this paper we investigate the linear stability of an initially axisymmetric thin drop of Newtonian fluid either on a uniformly rotating substrate (the simplest model for spin coating) or on a stationary substrate under the influence of an axisymmetric jet of air directed normally towards the substrate. Drops both with and without a dry patch at their center are considered. For each problem we examine both the special case of quasistatic motion (corresponding to zero capillary number) analytically and the general case of nonzero capillary number numerically. In all cases the drop is found to be unconditionally unstable, but the growth rate and wavenumber of the most unstable mode depend on the details of the specific problem considered.¦#169;2002 American Institute of Physics.
LanguageEnglish
Pages133-142
Number of pages9
JournalPhysics of Fluids
Volume14
Issue number1
DOIs
Publication statusPublished - Jan 2002

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coating
fluids
air
Newtonian fluids
physics

Keywords

  • linear stability
  • Newtonian fluid
  • rotating substrate
  • stationary substrate
  • air jet

Cite this

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The linear stability of a drop of fluid during spin coating or subject to a jet of air. / McKinley, I.S.; Wilson, S.K.

In: Physics of Fluids, Vol. 14, No. 1, 01.2002, p. 133-142.

Research output: Contribution to journalArticle

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AB - In this paper we investigate the linear stability of an initially axisymmetric thin drop of Newtonian fluid either on a uniformly rotating substrate (the simplest model for spin coating) or on a stationary substrate under the influence of an axisymmetric jet of air directed normally towards the substrate. Drops both with and without a dry patch at their center are considered. For each problem we examine both the special case of quasistatic motion (corresponding to zero capillary number) analytically and the general case of nonzero capillary number numerically. In all cases the drop is found to be unconditionally unstable, but the growth rate and wavenumber of the most unstable mode depend on the details of the specific problem considered.¦#169;2002 American Institute of Physics.

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