Along the stream line xBAPJ,
ψ = 0, u = ae−πφ/m;
(13)
and over the jet surface JPA, where the skin velocity is Q,
| dφ | = −q = −Q, u = aeπsQ/m = aeπs/c, |
| ds |
(14)
denoting the arc AP by s, starting at u = a;
| ch nΩ = cos nθ = √ | b − a′ | √ | u − a | , |
| a − a′ | u − b |
(15)
| sh nΩ = i sin nθ = i √ | a − b | √ | u − a′ | , |
| a − a′ | u − b |