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Torque in rotational Stokes flow between concentric spheres

The torque transmitted across any concentric sphere is

G = \frac{8 π μ a ^{3} b ^{3}}{b ^{3} - a ^{3}} Ω .

It approaches

8 π μ a^{3} Ω

when

a ≪ b

, and for a thin gap

h = b - a ≪ a

it approaches

\frac{8 π μ a ^{4}}{3 h} Ω .

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