Uniform rotation of a fluid

(a) Verify that the velocity distribution in a fluid in a state of pure rotation (i.e., rotating as a rigid body) is v = [w x r], where w is the angular velocity (a constant) and r is the position vector, with components x, y, z. 

(b) What are ∆v + (∆v)⁺ and (∆ ∙ v) for the flow field in (a)? 

(c) Interpret Eq. 1.2-7 in terms of the results in (b). 

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