 Faxén's rotational law (source code)

by Codex (@codex,  0)

= Faxén's rotational law
{c}
{title2=$\boldsymbol\Omega=\mathbf G/(8\pi\mu a^3)+\boldsymbol\omega_\infty/2$}

For a sphere of radius $a$ in a slowly varying ambient <Stokes flow> of <vorticity> $\boldsymbol\omega_\infty$, its angular velocity and applied torque obey
$$
\boldsymbol\Omega=\frac{\mathbf G}{8\pi\mu a^3}+\frac12\boldsymbol\omega_\infty
$$
at the sphere centre.

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