Jump to main content
Jump to site search

Issue 3, 2017

Microscale flow dynamics of ribbons and sheets

Author affiliations

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”.

Graphical abstract: Microscale flow dynamics of ribbons and sheets

Article information


Submitted
15 Sep 2016
Accepted
18 Nov 2016
First published
22 Nov 2016

Soft Matter, 2017,13, 546-553
Article type
Paper

Microscale flow dynamics of ribbons and sheets

T. D. Montenegro-Johnson, L. Koens and E. Lauga, Soft Matter, 2017, 13, 546 DOI: 10.1039/C6SM02105K

To request permission to reproduce material from this article, please go to the Copyright Clearance Center request page.

If you are an author contributing to an RSC publication, you do not need to request permission provided correct acknowledgement is given.

If you are the author of this article, you do not need to request permission to reproduce figures and diagrams provided correct acknowledgement is given. If you want to reproduce the whole article in a third-party publication (excluding your thesis/dissertation for which permission is not required) please go to the Copyright Clearance Center request page.

Read more about how to correctly acknowledge RSC content.


Social activity

Search articles by author

Spotlight

Advertisements