(1)
| dw | = − | m | | 1 | − | m′ | | 1 | , |
| du | π | u − j | π | u − j |
| = − | m + m′ | · | u − b | , |
| π | u − j·u − j′ |
(2)
taking u = ∞ at the source where φ = ∞, u = b at the branch point B, u = j, j′ at the end of the two diverging streams where φ = −∞; while ψ = 0 along the stream line which divides at B and passes through A, A′; and ψ = m, −m′ along the outside boundaries, so that m/Q, m′/Q is the final breadth of the jets, and (m + m′)/Q is the initial breadth, c1 of the impinging stream. Then
| ch ½Ω = √ | b − a′ | √ | u − b | , sh ½Ω = √ | b − a | √ | u − a′ | , |
| a − a′ | u − b | a − a′ | u − b |
(3)
| ch Ω = | 2b − a − a′ | − | N | , |
| a − a′ | u − b |
| sh Ω = √ N | √ (2·a − u·u − a′) | , |
| u − b |