dz = a′c = cd − a′d = i ds − dh.
(2)
Since the motion is steady—
Q = Ωu = constant.
Differentiating,
Ω du + u dΩ = 0;
∴ du = −u dΩ/Ω.
Let x be the width of the stream, then dΩ = xdh very nearly. Inserting this value,
du = −(ux / Ω) dh.
(3)
dz = a′c = cd − a′d = i ds − dh.
(2)
Since the motion is steady—
Q = Ωu = constant.
Differentiating,
Ω du + u dΩ = 0;
∴ du = −u dΩ/Ω.
Let x be the width of the stream, then dΩ = xdh very nearly. Inserting this value,
du = −(ux / Ω) dh.
(3)