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Slow Rotation of Coaxial Slip Colloidal Spheres about Their Axis
Version 1
: Received: 4 September 2023 / Approved: 5 September 2023 / Online: 5 September 2023 (07:45:07 CEST)
A peer-reviewed article of this Preprint also exists.
Tsai, M.J.; Keh, H.J. Slow Rotation of Coaxial Slip Colloidal Spheres about Their Axis. Colloids Interfaces 2023, 7, 63. Tsai, M.J.; Keh, H.J. Slow Rotation of Coaxial Slip Colloidal Spheres about Their Axis. Colloids Interfaces 2023, 7, 63.
Abstract
The flow field around a straight chain of multiple slip spherical particles rotating steadily in an incompressible Newtonian fluid about their line of centers is analyzed at low Reynolds numbers. The particles may vary in radius, slip coefficient, and angular velocity, and they are permitted to be unevenly spaced. Through the use of a boundary collocation method, the Stokes equation governing the fluid flow is solved semi-analytically. The interaction effects among the particles are found to be noteworthy under appropriate conditions. For the rotation of two spheres, our collocation results for their hydrodynamic torques are in good agreement with the analytical asymptotic solution in the literature obtained by using a method of twin multipole expansions. For the rotation of three spheres, the particle interaction effect indicates that the existence of the third particle can influence the torques exerted on the other two particles noticeably. The interaction effect is stronger on the smaller or less slippery particles than on the larger or more slippery ones. Torque results for the rotation of chains of many particles visibly show the shielding effect among the particles.
Keywords
axisymmetric rotation; multiple slip particles; creeping flow; hydrodynamic torque
Subject
Engineering, Chemical Engineering
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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