A New Method of Dimensional Analysis (Fluid Mechanics Applications)

A new simple method of dimensional analysis is developed. The new method can handle any number of variables. This method needs only finding the inverse of the repeated variables’ matrix. Since A-1 can be obtained numerically, this method can be easily programmed, and thus time is saved and the error that may occur at any step of hand calculations is avoided. Additionally, the combinations are used for the first time in the dimensional analysis subject. The procedure of the new method and the use of combinations in the dimensional analysis are illustrated through four different examples, which represent all the possible problems in the dimensional analysis.