Civil Engineering MCQAE Level Civil Engineering

In potential (irrotational) flow, the velocity potential phi and stream function psi satisfy:

Fluid MechanicsPotential FlowMEDIUM

Choose the correct answer

A

Laplace equation (nabla^2 phi = 0 and nabla^2 psi = 0)

B

Navier-Stokes equation

C

Euler equation only

D

Bernoulli equation only

Correct Answer

A. Laplace equation (nabla^2 phi = 0 and nabla^2 psi = 0)

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For irrotational incompressible flow, phi satisfies Laplace equation (del^2 phi = 0). The stream function psi also satisfies del^2 psi = 0. Lines of constant phi (equipotentials) and constant psi (streamlines) are orthogonal.

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