Area rule, yay integrals
Timothy Corrie Jr
Night Math Teacher at Huntington Learning Center. I wrote 32digit/more code running in calc.exe since 1999, still going. Posts and articles have source code and videos of my many projects, hundreds of posts.
#Math makes this simpler, #3Dprinter s makes prototyping easy. You welders might recognize this as a drag cup for pumping Argon or other gasses over a TIG weld. Not what I'm doing here, just trying to optimize inlet to a ... nevermind! ... Constraints are area has to change in a linear fashion, straight pipe on the business end, ratio of the inlet and outlet optimized by 10 generations and 21 working models using straight cones, will have to tweak I am sure from here. #AreaRule. Set these constraints in f'(x) then #integrate and figure out +C and max slope (peak of f'(x) )
A simple cone slightly upwind of inlet helped, so iterating through aerospike shapes now, same formula
And 36 spike halves later, all different, will glue together pairs of same radii, test, keep winners