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Energy in a free vortex of water

  1. Jan 28, 2015 #1
    Hey guys,

    I'm actually working on a project of gravitational vortex turbine at an undergrad level. I need to know the energy or the energy required to make a stable free vortex in a cylinder. The cylinder is of 1 m height and 1.5 m diameter. A channel of 0.5 m width is connected to the cylinder. The flow enters into the cylinder tangentially and leaves through an orifice at the bottom of 0.1 m diameter.

    Any help would be appreciated.

    Thanks.
     
  2. jcsd
  3. Feb 2, 2015 #2
    Thanks for the post! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
     
  4. Feb 4, 2015 #3
    As a rough approximation if you have the vortex velocity profile you can integrate it to obtain the power and then estimate the kinetic energy. Recall P = dE/dt = F dot(v) = dv/dt dot(v). You can estimate the power per unit cross section if you take an imaginary slice parallel to the rotational axis.
     
  5. Feb 4, 2015 #4
    forgot the mass term, sorry
     
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