Diffusion of swimming model micro-organisms in a semi-dilute suspension

By Takuji Ishikawa, T. Pedley. Journal of Fluid Mechanics, 2007

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Hydrodynamics of self-propulsion near a boundary: predictions and accuracy of far-field approximations (2012, methodology): “Following Brady & Bossis (1985) and Ishikawa & Pedley (2007), we include a screened electrostatic-type body repulsion force, which acts only at very small distances from the boundary, of the form Frep = Ae−Bd/[1 − e−Bd]ẑ, where d is the minimum distance between the body surface and the wall, and…”
The hydrodynamics of swimming microorganisms (2008, background): “As a result of the large-scale motion in dense suspensions, swimming cells undergo a remarkable decrease in effective diffusivity [183, 184, 185, 186].”
The rheology of a semi-dilute suspension of swimming model micro-organisms (2007, background): “The self-diffusivities of non-bottomheavy squirmers are investigated by Ishikawa & Pedley (2007), and the results show that the Pe of squirmers with β = 5 is approximately O(1), suggesting that there should not be any difficulty computing the effective viscosity even in simple shear.”
Hydrodynamic interaction of two swimming model micro-organisms (2006, methodology): “In future papers, we will use the database compiled in this paper to investigate both the rheological properties of a semi-dilute suspension of many squirmers and also the diffusive property of squirmers in a semi-dilute suspension (Ishikawa & Pedley 2006a, b).”