Since − Ux is the velocity function for the liquid W′ filling the ellipsoid λ = 0, and moving bodily with it, the effective inertia of the liquid in the interspace is

A0 + B1 + C1W′.
B0 + C0 − B1 − C1

(2)

If the ellipsoid is of revolution, with b = c,

φ = ½Ux A + 2B1,
B0 − B1

(3)

and the Stokes’ current function ψ can be written down

ψ = − ½ Uy2 B − B1;
B0 − B1

(4)

reducing, when the liquid extends to infinity and B1 = 0, to