Question: Consider a vortex flow with the following velocity field: v = v ( r ) h a t ( ) where v ( r )

Consider a vortex flow with the following velocity field:
v=v(r)hat()
where v(r) is some function of r. Is this flow steady or unsteady? Calculate the material derivative (DvDt). Express your answer in a cylindrical coordinate system.
Consider a vortex flow with the following

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