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This study analyzes rotating soft spheres in fluid. Particle interactions significantly alter rotation, with effects depending on spacing, permeability, and direction of rotation, crucial for colloidal suspensions.

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Area of Science:

  • Fluid Dynamics
  • Colloid Science
  • Soft Matter Physics

Background:

  • Analysis of low-Reynolds-number rotation of soft spheres in viscous fluids.
  • Soft spheres consist of a hard core and a permeable porous layer.
  • Particles can have varying properties like spacing, permeability, radii, and angular velocity.

Purpose of the Study:

  • To investigate the hydrodynamic interactions between rotating soft spheres in a viscous fluid.
  • To understand how particle properties and relative motion influence rotational dynamics.
  • To provide insights for physicochemical applications of colloidal suspensions.

Main Methods:

  • Semi-analytical solution using boundary collocation method.
  • Solving Stokes equations for external fluid flow.
  • Solving Brinkman equations for flow within porous layers.

Main Results:

  • Particle interaction effects intensify with decreased gap thickness or permeability.
  • Co-rotating particles enhance rotation; counter-rotating particles hinder it.
  • Smaller or more permeable particles are more affected by interactions.
  • Third-particle presence and shielding effects significantly influence torques in multi-particle systems.

Conclusions:

  • Particle interactions in rotating soft sphere chains are complex and depend on multiple factors.
  • Understanding these interactions is vital for applications involving colloidal suspensions.
  • Low permeability limits fluid motion felt by the hard core, impacting particle behavior.