Microscale flow dynamics of ribbons and sheets

Thomas D. Montenegro-Johnson*, Lyndon Koens, Eric Lauga

*Corresponding author for this work

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

Numerical study of the hydrodynamics of thin sheets and ribbons presents difficulties associated with resolving multiple length scales. To circumvent these difficulties, asymptotic methods have been developed to describe the dynamics of slender fibres and ribbons. However, such theories entail restrictions on the shapes that can be studied, and often break down in regions where standard boundary element methods are still impractical. In this paper we develop a regularised stokeslet method for ribbons and sheets in order to bridge the gap between asymptotic and boundary element methods. The method is validated against the analytical solution for plate ellipsoids, as well as the dynamics of ribbon helices and an experimental microswimmer. We then demonstrate the versatility of this method by calculating the flow around a double helix, and the swimming dynamics of a microscale “magic carpet”.

Original languageEnglish
Pages (from-to)546-553
Number of pages8
JournalSoft Matter
Volume13
Issue number3
DOIs
Publication statusPublished - 21 Jan 2017
Externally publishedYes

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