Module 11: Dimensional analysis and similitude
  Lecture 38: Buckingham Pi-theorem
 

 

Note that there are there repeat variables and two non–repeat variables Choice of selecting repeat variables is often arbitrary. Therefore,

Substitute and equate dimensions of :
For

 

 

Solve to obtain
Therefore,
Similarly, for

Solve to obtain
Therefore,

 

Or where
The exact form of h is found by experiment