A stream function is given by ψ = 3x2 – y3 . What is the magnitude

A stream function is given by ψ = 3x2 – y3 . What is the magnitude of velocity components at the point (2, 1)? [A] 8.52 [B] 9.17 [C] 10.81 [D]

A stream function is given by ψ = 3x2 – y3 . What is the magnitude of velocity components at the point (2, 1)?





ANSWER= [D] 12.37

ψ = 3x2 – y3

∂ ψ/ ∂x = v = y-component of velocity = 6x

-∂ ψ/ ∂y = u = x-component of velocity = 3y2

v = 3y2 i + 6xj

v at point (2,1) is v = 3i + 12j

|v| = (32 + 122 )1/2 = 12.37 m/s


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