I am able to find plenty of notes that give examples of how a few particular examples may be non-dimensionalized, but I am wondering if there is something more general worth studying?
A benefit of a more general approach, rather than an example based approach would be that one could possibly develop a scheme which may be used to non-dimensionalize any problem.
Also, it might be easier to learn, since perhaps one could grasp the pattern from the general case easier than a bunch of specific problems they have no interest in.
Suggestions?
The general method of non-dimensionalization is given by the Buckingham Pi Theorem.
I learned it from Introduction to Symmetry Analysis, but amazingly enough there is an entire book on the subject.