Abstract
Abstract
Highlights
Active matter has become a popular area of research in recent years, among both fluid dynamicists and soft matter physicists
We have previously studied the rheology of semi-dilute, three-dimensional, suspensions of squirmers – volume fraction φ 0.1 – in which pairwise interactions between the cells were summed neglecting interactions involving more than two cells at a time (Ishikawa & Pedley 2007b)
The main focus of this paper has been to calculate the particle stress tensor in a concentrated suspension of spherical squirmers in a planar monolayer exposed to a uniform shear flow, over a wide range of parameter values, in the hope that the union of such results could act in place of an analytical constitutive relation, which appears unlikely to be achievable
Summary
Active matter has become a popular area of research in recent years, among both fluid dynamicists and soft matter physicists. One is a full numerical simulation using Stokesian dynamics (Brady & Bossis 1988; Brady et al 1988; Ishikawa, Locsei & Pedley 2008; Ishikawa & Pedley 2008), while in the other we assume that every cell interacts only with its immediate neighbours; in that case the interactions are described using lubrication theory alone This model was recently used to investigate the stability of a regular array of bottom-heavy squirmers, swimming upwards in the absence of an imposed shear flow (Brumley & Pedley 2019). For inert and force-free spheres, Leshansky & Brady (2005) reported in a footnote that suppressing all far-field interactions made less than 5 % difference to the quantities they were computing Other authors, such as Mari et al (2015), have used lubrication theory alone for the hydrodynamics of concentrated suspensions, but they do not normally compare the results with those that do not neglect the far-field interactions. The findings are compared in the final section, with further discussion and an outline of intended future work
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