Question: 1. ( 30 points) Liquid drains from a small hole in a tank, as shown in the figure, such that the velocity field set up

1. ( 30 points) Liquid drains from a small hole in

1. ( 30 points) Liquid drains from a small hole in a tank, as shown in the figure, such that the velocity field set up is given by vr0,vz0,v=R2/r, where z=H is the depth of the water far from the hole. a) Show that the flow is rotational or irrotational. b) Find the depth of the water HR at the radius r=R. Hint: In cylindrical coordinate systems, V=(r1vzzv)r^+(zvrrvz)^+(r1r(rv)r1vr)z^

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