The bath tub vortex hown in gure(4) conit of a rotational region (rigid body motion)
up to a radiu of r = 0. 6 meter where the tangential velocity of uid under rotation varie
linearly with radiu and an irrotational region beyond r = 0. 6 meter where the ow velocity
i inverely proportional to radiu. The tangential velocity variation with radiu of vortex i
hown in upper part of gure(4) wherea the prole of free urface of water i hown in the
lower part. Determine the depth of the free urface at origin which i placed at the level of
free urface far from the origin. (10



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