(8)
the intrinsic equation, the other free surface A′P′J′ being given by
| eπ2/c = | cos2 nα sin2 nθ | , |
| sin2 nα − sin2 nθ |
(9)
Putting n = 1 gives the case of a stream of finite breadth disturbed by a transverse plane, a particular case of Fig. 7.
When a = b, α = 0, and the stream is very broad compared with the wedge or lamina; so, putting w = w′(a − b)/a in the penultimate case, and
u = ae−w ≈ a − (a − b)w′,
(10)
| ch nΩ = √ | w′ + 1 | , sh nΩ = √ | 1 | , |
| w′ | √ w′ |
(11)