Dynamics of a viscous thread on a non-planar substrate

Mark Bowen, John R. King

研究成果: Article

3 引用 (Scopus)

抜粋

We derive a general reduced model for the flow of a slender thread of viscous fluid on a grooved substrate. Specific choices of the substrate topography allow further analytic progress to be made, and we subsequently focus on a convection-diffusion equation governing the evolution of viscous liquid in a wedge geometry. The model equation that arises also appears in the context of foam drainage, and we take the opportunity to review and compare the results from both applications. After summarising the constant mass results, we introduce a time-dependent fluid influx at one end of the wedge. The analytical results are supported by numerical computations.

元の言語English
ページ(範囲)39-62
ページ数24
ジャーナルJournal of Engineering Mathematics
80
発行部数1
DOI
出版物ステータスPublished - 2013 1 1

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ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)

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