Prove: Rotation of Flows Satisfies Equation of Continuity

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The discussion revolves around proving that the rotation of liquid in a closed circular cylinder satisfies the equation of continuity using the velocity equation V = (omega) x r. The focus is on understanding how the angular velocity, which is time-dependent, interacts with the position vector from the axis of rotation. Participants are seeking guidance on how to initiate the proof, indicating a need for clarification on the problem's requirements. The continuity equation in cylindrical coordinates is referenced as essential for the proof. Overall, the conversation emphasizes the importance of properly applying the concepts of fluid dynamics to validate the equation of continuity.
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Homework Statement



If liquid contained within a closed circular cylinder rotates about the axis of the cylinder, prove that the equation of continuity and boundary conditions are satisfied by V = (omega) x r, where 'omega' is the angular velocity of fluid supposed to be dependent on time only, and r is the position vector measured from a point on the axis of rotation.

Homework Equations



V = 'omega' x r

The continuity equation in the cylindrical co-ordinates is attached as a word document

The Attempt at a Solution



I need a hint as to how to start the solution.
 

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Sorry but did you write the question exactly as it was posed and with everything included? I'm a bit startled.
 
Yes i wrote the question out exactly as it was given to me.
 
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