Small‑Scale Flow with Deformable Boundaries

Abstract

In this article, we present an overview of research on flow
in microconfinements with deformable boundaries. The time frame of
focus is the last decade (2007–2017). The article is arranged into sections
based on the geometry of the problem studied, which fall under five
major categories—microchannels, tubes, squeeze flow, cylinder near
wall and thin structures (membranes, sheets, etc.). The modelling of various
coupled phenomena such as electrokinetics, diffusion and porous
flow is discussed, maintaining the study of deformable boundaries as a
common underlying theme. The article concludes with a brief discussion
about the cross-correlation between the works presented based on the
phenomena studied, constitutive models considered and methodologies
employed.