1. Limited time only! Sign up for a free 30min personal 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!

Fluids; pipe flow rate problem

  1. Aug 24, 2010 #1
    1. The pressure at the start of a 180km stainless steel natural gas pipeline is 4Mpa and at the end is 2Mpa. If the diameter of the pipe is 0.4m, what will be the gas flow rate through the system? (ignore losses other than friciton)
    (for natural gas, [tex]\rho[/tex]= 40kg/m3, [tex]\mu[/tex]= 11x10-6 Pas



    2.

    [tex]\nu[/tex]=[tex]\mu[/tex]/[tex]\rho[/tex]

    Re = [tex]\mu[/tex]*D/[tex]\nu[/tex]

    Q= ([tex]\pi[/tex]*D^4/ 128*[tex]\mu[/tex]*L)*(P1-P2)



    3. First I found the Kinematic velocity; [tex]\nu[/tex]=11x10-6/40 = 2.75*10-7

    I subbed this value into the reynolds number equation;

    Re = 1x10-6*0.4/2.75*10-7 = 16

    As the Re number is less than 2100 the flow is laminar and I can use the above equation, I also used the moody diagram to establish the friction factor; The pipe is stainless steel so the relative rougness was equal to .045/.4*103 this part I wasn't quite sure of but I found the friction factor value to be (.002)

    Now all I have to do is sub into this equation:
    Q= ([tex]\pi[/tex]*D^4/ 128*[tex]\mu[/tex]*L)*(P1-P2) correct?

    But how do I incorporate the friction factor? Also Is my analysis of the problem correct?
     
  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



Similar Discussions: Fluids; pipe flow rate problem
  1. Flow Rate Problem (Replies: 1)

Loading...