Slow Rotation of Coaxial Slip Colloidal Spheres about Their Axis
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 u...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-10-01
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| Series: | Colloids and Interfaces |
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| Online Access: | https://www.mdpi.com/2504-5377/7/4/63 |
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| author | Min J. Tsai Huan J. Keh |
| author_facet | Min J. Tsai Huan J. Keh |
| author_sort | Min J. Tsai |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-08T20:52:58Z |
| format | Article |
| id | doaj.art-a5351f94b1ef4fe1b31ba18dedaaa45d |
| institution | Directory Open Access Journal |
| issn | 2504-5377 |
| language | English |
| last_indexed | 2024-03-08T20:52:58Z |
| publishDate | 2023-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Colloids and Interfaces |
| spelling | doaj.art-a5351f94b1ef4fe1b31ba18dedaaa45d2023-12-22T14:01:09ZengMDPI AGColloids and Interfaces2504-53772023-10-01746310.3390/colloids7040063Slow Rotation of Coaxial Slip Colloidal Spheres about Their AxisMin J. Tsai0Huan J. Keh1Department of Chemical Engineering, National Taiwan University, Taipei 10617, TaiwanDepartment of Chemical Engineering, National Taiwan University, Taipei 10617, TaiwanThe 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.https://www.mdpi.com/2504-5377/7/4/63axisymmetric rotationmultiple slip particlescreeping flowhydrodynamic torque |
| spellingShingle | Min J. Tsai Huan J. Keh Slow Rotation of Coaxial Slip Colloidal Spheres about Their Axis Colloids and Interfaces axisymmetric rotation multiple slip particles creeping flow hydrodynamic torque |
| title | Slow Rotation of Coaxial Slip Colloidal Spheres about Their Axis |
| title_full | Slow Rotation of Coaxial Slip Colloidal Spheres about Their Axis |
| title_fullStr | Slow Rotation of Coaxial Slip Colloidal Spheres about Their Axis |
| title_full_unstemmed | Slow Rotation of Coaxial Slip Colloidal Spheres about Their Axis |
| title_short | Slow Rotation of Coaxial Slip Colloidal Spheres about Their Axis |
| title_sort | slow rotation of coaxial slip colloidal spheres about their axis |
| topic | axisymmetric rotation multiple slip particles creeping flow hydrodynamic torque |
| url | https://www.mdpi.com/2504-5377/7/4/63 |
| work_keys_str_mv | AT minjtsai slowrotationofcoaxialslipcolloidalspheresabouttheiraxis AT huanjkeh slowrotationofcoaxialslipcolloidalspheresabouttheiraxis |