Civil Engineering MCQAE Level Civil Engineering

In a free vortex (irrotational vortex), the velocity distribution with radius r is:

Fluid MechanicsFree VortexMEDIUM

Choose the correct answer

A

V proportional to r

B

V proportional to 1/r (V x r = constant)

C

V = constant

D

V proportional to r^2

Correct Answer

B. V proportional to 1/r (V x r = constant)

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Free (irrotational) vortex: V x r = constant (circulation Gamma = 2pi x V x r = const). In a forced (rotational) vortex: V = omega x r (solid body rotation). Free vortex has no external energy input.

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