Flow properties and hydrodynamic interactions of rigid spherical microswimmers

Abstract

We analyze a minimal model for a rigid spherical microswimmer and explore the consequences of its extended surface on the interplay between its self-propulsion and flow properties. The model is the first order representation of microswimmers, such as bacteria and algae, with rigid bodies and flexible propelling appendages. The flow field of such a microswimmer at finite distances significantly differs from that of a point-force (Stokeslet) dipole. For a suspension of microswimmers, we derive the grand mobility matrix that connects the motion of an individual swimmer to the active and passive forces and torques acting on all the swimmers. Our investigation of the mobility tensors reveals that hydrodynamic interactions among rigid-bodied microswimmers differ considerably from those among the corresponding point-force dipoles. Our results are relevant for the study of collective behavior of hydrodynamically interacting microswimmers by means of Stokesian dynamics simulations at moderate concentrations.

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• Frequency-dependent higher-order Stokes singularities near a planar elastic boundary: implications for the hydrodynamics of an active microswimmer near an elastic interface
• Particle-scale statistical theory for hydrodynamically induced polar ordering in microswimmer suspensions
• Hydrodynamics of an odd active surfer in a chiral fluid
• Dynamics of a microswimmer-microplatelet composite
• Controlling stability and transport of magnetic microswimmers by an external field
• Emergent pattern formation of active magnetic suspensions in an external field
• Dynamics of a simple model microswimmer in an anisotropic fluid: implications for alignment behavior and active transport in a nematic liquid crystal
• Shape-asymmetry and flexibility in active cross-stream migration in nonuniform shear