is a specific kind of: discharge, eject, exhaust, expel, release.

is a broader term that covers: perspire, sudate, sweat | exudate, exude, ooze, ooze out, transude | make, make water, micturate, pass water, pee, pee-pee, piddle, piss, puddle, relieve oneself, spend a penny, take a leak, urinate, wee, wee-wee | urinate | empty, evacuate, void | ca-ca, crap, defecate, make, shit, stool, take a crap, take a shit | barf, be sick, cast, cat, chuck, disgorge, honk, puke, purge, regorge, regurgitate, retch, sick, spew, spue, throw up, upchuck, vomit, vomit up.

derivation: passage, passing | elimination, evacuation, excreting, excretion, voiding | excretory.