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

Help with Buckingham Pi theory on turbine

  1. Sep 23, 2015 #1
    I was wondering if someone is very well into the Buckingham Pi Theory and can assist me in understanding the outcome.
    I have two dimensionless equations and I need to get an understanding on how they were made by the Buckingham Pi theory. The situation is considered for the reynolds number 10^5.
    The two equations are
    upload_2015-9-23_18-18-0.png and upload_2015-9-23_18-18-19.png
    Where T is N*m force, p water densitykg/m^3, w is (rad/s), d is diamater (m)and u is velocity (m/s). The two variables that we are looking at are the relationship between the rotation (rad/s, w) and Force T (n*m)
    Can someone help me understand how these two equations were made I have tried making them with the Buckingham Pi theory. Somehow I never end up with the answer I want.
  2. jcsd
  3. Sep 23, 2015 #2


    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper

    First of all, T is not a force. It is a torque if it has units of N-m.

    Second, newtons (N) are derived units under the SI system.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook