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Rotating sphere in Stokes flow

{title2=$\mathbf u=\mathbf G\times\mathbf r/(8\pi\mu r^3)$}
{wiki}

A rotlet is the singular <Stokes flow> generated by a point torque $\mathbf G$:
$$
\mathbf u(\mathbf r)=\frac{\mathbf G\times\mathbf r}{8\pi\mu r^3},
\qquad p=0.
$$
It is the far field of a <rotating sphere in Stokes flow>.

Rotlet

Past exam of the mathematics course of the University of Cambridge / 2022 / iii / Paper 329 / 1 / a / Solution

Past exam of the mathematics course of the University of Cambridge / 2022 / iii / Paper 329 / 1 / c / iii / Solution

Past exam of the mathematics course of the University of Cambridge / 2022 / iii / Paper 329 / 1 / c / ii / Solution

Rotlet interaction of two spheres

Rotlet ( $u = G \times r / (8 π μ r^{3})$ )

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Rotlet (u=G×r/(8πμr3))

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Rotlet ( $u = G \times r / (8 π μ r^{3})$ )

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