A fluid in a state of rigid rotation (a) Verify that the velocity distribution (c) in Problem

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A fluid in a state of rigid rotation

(a) Verify that the velocity distribution (c) in Problem 1B.1 describes a fluid in a state of pure rotation; that is, the fluid is rotating like a rigid body. What is the angular velocity of rotation?

(b) For that flow pattern evaluate the symmetric and anti symmetric combinations of velocity derivatives:

(c) Discuss the results of (b) in connection with the development in S1.2.

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