(10)

The velocity q is zero in a corner where the hyperbola β cuts the ellipse α; and round the ellipse α the velocity q reaches a maximum when the tangent has turned through a right angle, and then

q = Qea √(ch 2α − cos 2β);
sh 2α

(11)

and the condition can be inferred when cavitation begins.

With β = 0, the stream is parallel to x0, and

φ = m ch (η − α) cos ξ
= −Uc ch (η − α) sh η cos ξ/sh (η − α)

(12)

over the cylinder η, and as in (12) § 29,

φ1 = −Ux = −Uc ch η cos ξ,