(7)
throughout the liquid.
Inside an equilateral triangle, for instance, of height h,
ψ′ = −2Rαβγ/h,
(8)
where α, β, γ are the perpendiculars on the sides of the triangle.
In the general case ψ′ = ψ + Uy − Vx + ½R (x2 + y2) is the relative stream function for velocity components, U, V, R.
29. Example 1.—Liquid motion past a circular cylinder.
Consider the motion given by
ω = U (z + a2/z),