What condor bravo said. With the addition that I use corn cob as the media. Nu Finish is a car polish that contains wax that gets deposited on the brass case. This is a very small, very thin coating that helps brass in a couple of ways. It is slippery, aids in sliding the brass while it sizes, and it protects the brass from tarnish and corrosion. Bright shiny cases stay bright and shiny while in storage.
Other tumbler additives like the midway polish also has some wax in it, but it has a mild abrasive as well. It cuts the tarnish that is making the brass dull but is a soft abrasive that will not hurt dies or barrel steel. People hear abrasive, they immediately think of grinder wheels or carborundum hard abrasives. There are different grade,(hardness) of abrasives.
Flitz makes a brass tumbler additive that works really well. I suspect it too has some wax in it. An automotive rubbing compound also makes a good tumbler additive. It has a mild abrasive only hard enough to cut the dull paint on the cars finish, just the right hardness for a brass tumbler. It also has wax in it.
All of these are liquid that has to be mixed into the media. As CB said, let the tumbler run for as long as it needs to run to get the clumps of wax and media to dissipate and mix in. I add it slowly while it's running WITHOUT brass in it, but with enough media for a batch of brass. As for when to add more, well if it stops working as quickly that's when.
Another trick for dry tumblers is to put a used dryer softener sheet in with the media and polish. The makeup of the dryer sheet is a sort of a mesh that will collect the black dirt that always accumulates in the media. A chunk of paper towel can also be used. Cut it up so it will circulate with the brass. This extends the life of the media.