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Homework Help: Rotation of flows

  1. Jan 7, 2010 #1
    1. The problem statement, all variables and given/known data

    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.

    2. Relevant equations

    V = 'omega' x r

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

    3. The attempt at a solution

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

    Attached Files:

    • eq1.doc
      eq1.doc
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  2. jcsd
  3. Jan 7, 2010 #2
    Sorry but did you write the question exactly as it was posed and with everything included? I'm a bit startled.
     
  4. Jan 7, 2010 #3
    Yes i wrote the question out exactly as it was given to me.
     
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