Question: A compound vortex formed in water having a free surface comprises of a central forced vortex surrounded by a free vortex. The relation between the

A compound vortex formed in water having a free surface comprises of a central forced vortex surrounded by a free vortex. The relation between the velocity in m

/

s and the radius in meters is v

= 10

r for the vortex and vr

= 0.9

for the free vortex. Obtain the depth of the centre of the depression in the water surface below the free surface level.

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