flui

Flui is intransitive: the liquid is the subject and there is no object. To make something flow out of a container you want verŝi, to pour. The noun fluo covers a current, a flow and, by extension, a trend, and enflui and elflui handle flowing in and out. The adverb flue gives you the other English sense, since speaking a language flue is speaking it fluently. Watch the accusative in the last example above: sur la tablon with -n means the wine ended up there, not that it was already on it.