Figure 1. The various size régimes of shapes. This method, RiBEM, efficient solves the flow dynamics of ribbons and sheets.
Figure 1. The various size régimes of shapes. This method, RiBEM, efficient solves the flow dynamics of ribbons and sheets.

My recent work on a simple numerical method for calculated the flow dynamics of ribbon and sheet like structures at microscopic scales has been accepted to the RSC journal Soft Matter. A preprint of the accepted version of the paper is available on the ArXiV. In this work, we show that for systems where the length and width are much greater than the thickness (for instance systems laser-etched from very thin sheets), the resultant flow dynamics and tractions on the object may be modelled by a two-dimensional manifold of regularised point forces driving flow, the regularisation accounting for the finite thickness. This method will be useful in modelling microscale artificial swimmers, as well as the flow dynamics of lipid bilayers and potentially DNA.

Paper accepted to RSC journal “Soft Matter”
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