1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Concentric Circle Streamlines

  1. Jan 31, 2017 #1
    1. The problem statement, all variables and given/known data
    The streamlines of a certain flow are concentric circles about the origin, and the absoute value of the velocity varies according to the law
    |V|=k*r^(n)
    Show that the angular speed of any fluid element in flow is described by:
    εz=(1/2)*k*(n+1)*r^(n-1)

    2. Relevant equations
    εz=(1/2)*(rate of rotation)

    3. The attempt at a solution
    ∂/∂r |V| =k*n*r^(n-1)
    εz=(1/2)*(∂/∂r |V|)
    εz=(1/2)*k*n*r^(n-1)

    Not sure where to go from here
     
    Last edited by a moderator: Jan 31, 2017
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted