I would like to use the Buckingham-Pi theorem in order to "algorithmify" non-dimensionalization of existing equations. I can get things to work for very simple problems, but am running into issues with a harder example. I posted my question on physics.stackexchange.com the day before yesterday, but it has received little attention. Could someone here comment, either here or there? Alternatively, do you know of existing ways to "algorithmify" non-dimensionalization?