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3D duct

Biot (1956b) also shows that for a 3D circular cylinder duct, i.e., fluid inside a circular cylindrical pore of radius a, $F(\xi) \to 1$ as $\omega \to 0$ and
F(\xi) \to (-i)^{1/2}{{\xi}\over{4}}
 \end{eqnarray} (39)
as $\omega \to \infty$. Here $\xi = (\omega a^2/\eta)^{1/2}$, with a being the cylinder radius.

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