[gus_massa]

I've seen crazy stuff for heat exchangers and other stuff used in factories.

When the temperature difference is small, everithing is linear and you get nice formulas.

When the difference of temperature is big and you have liquids with convection and turbulence, you only get empirical formulas with weird exponents. The correct method would be to give the constants with the correct units, but it's usual to specify unit to measure the data instead, and just enter the numbers in the formula.

After a short search in Google, I got this example https://www.researchgate.net/figure/Equations-used-to-obtain...

[sade_95]

This is exactly the niche I had in mind, thank you for the concrete example. Where theory works (small deltas, linear regime) nobody needs my tool. Where turbulence starts, engineers already live with empirical correlations and weird exponents since one century, Nusselt-Reynolds style. A GP search is just a systematic way to produce this kind of correlation, with a Pareto front instead of one formula.

And your point about units is the industrial reality: the convention "measure in these units, then use the numbers" is exactly what the tool does internally. A proper dimensional mode stays on my roadmap, but I feel less bad about it now.