Chapter 6 : Principles of Physical Similarity and Dimensional Analysis
Lecture 19 :


Alternative Mathematical Description of (π) Pi Theorem

A physical problem described by m number of variables involving n number of fundamental dimensions (n < m) leads to a system of n linear algebraic equations with m variables of the form

 

 

...................................................

 

(19.4)

or in a matrix form,

(19.5)

 

where,

 

        and