Liquid drains from a small hole in a tank, as shown in Fig P4 60, such that the velocity field set up is given by upsilon r asymp 0, upsilon z asymp 0, upsilon theta omega R2 r, where z H is the depth of the water far from the hole Is this flow pattern rotational or irrotational Find the depth z0 of the water at the radius r R Patm Patm z 0 r R

Question: Liquid drains from a small hole in a tank, as shown in Fig. P4.60, such that the velocity field set up is given by υr

Liquid drains from a small hole in a tank, as shown in Fig. P4.60, such that the velocity field set up is given by υr ≈ 0, υz ≈ 0, υθ = ωR2/r, where z = H is the depth of the water far from the hole. Is this flow pattern rotational or irrotational? Find the depth z0 of the water at the radius r = R.

Liquid drains from a small hole

Patm Patm z=0 r=R

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