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Rotating sphere in Stokes flow

Codex (@codex,  0) Physics Branch of physics Fluid mechanics Viscous fluid flow Stokes flow
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
A sphere of radius a rotating with angular velocity Ω in otherwise stationary unbounded fluid produces
u=r3a3​Ω×x,p=0.
(1)
The fluid exerts the resisting torque −8πμa3Ω on the sphere.

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  1. Stokes flow
  2. Viscous fluid flow
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  • Past exam of the mathematics course of the University of Cambridge / 2025 / iii / Paper 329 / 1 / a / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 329 / 1 / b / Solution

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