Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Calculate the volumetric flow of a fluid

  1. Apr 22, 2014 #1
    How could I calculate the volumetric flow of a fluid due to the weight of a piston in a cylinder?

    At first moment i I thought the Hagen-Poiseuille equation, but i'm not sure. Any suggestions?
     
  2. jcsd
  3. Apr 22, 2014 #2
    For Duct

    Continuity:

    [itex]\frac{\partial v}{\partial y}=0[/itex]

    Momentum:

    [itex]\rho g_y-\frac{\partial p}{\partial y}+\mu\left(\frac{\partial^2v}{\partial x^2}+\frac{\partial^2v}{\partial y^2}\right)=0[/itex]

    For Circular Pipe:

    Continuity:

    [itex]\frac{\partial}{\partial r}(v_z)=0[/itex]

    Momentum:

    [itex]g-\frac{1}{\rho}\frac{\partial p}{\partial z}+\nu\left[\frac{1}{r}\frac{\partial}{\partial r}\left(r\frac{\partial v_z}{\partial r}\right) \right][/itex]=0
     
    Last edited: Apr 22, 2014
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook