Prove: Rotation of Flows Satisfies Equation of Continuity

[banerjeerupak]

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.

 

[ponjavic]

Sorry but did you write the question exactly as it was posed and with everything included? I'm a bit startled.

 

[banerjeerupak]

Yes i wrote the question out exactly as it was given to me.