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Split Pipe Flow: Multiple Inlets and Outlets (Bernoulli's)

  1. Dec 1, 2016 #1
    http://tinypic.com/view.php?pic=mhvarc&s=9#.WD__u_mLTIU Hey guys,
    So, I've got this problem, attached.
    I've used Bernoulli's to produce P1 + (1/2)p(u1)^2 +P2 + (1/2)p(u2)^2 = P3+ (1/2)p(u3)^2 +P4 + (1/2)p(u4)^2 +P5 + (1/2)p(u5)^2,
    Plugging in the values you get 82500 + P2 + 500(u2)^2 = P3 + 60000 + 500(u4)^2 + P5 + 500(u5)^2
    Replacing velocity with volumetric flow/area,
    82500 + P2 + 500(Q2/A2)^2 = P3 + 500(Q4/0.03)^2 + P5 + 500(0.74/(A5)^2
    Now I know Q1 + Q2 = Q3 +Q4 + Q5, but I have come to a dead end. Is this just numerous simultaneous equations or is there another way about this?
    https://postimg.org/image/gqfk1aukn/

    Thanks!
     
  2. jcsd
  3. Dec 6, 2016 #2
    Thanks for the thread! 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? The more details the better.
     
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