The phrase "continuous stream" refers to an unending flow or sequence without any breaks or interruptions. It means that something is happening or being done continuously and without stopping. Full definition
The trace rifle sounds very simple; continuous stream of damage while aimed at an enemy. (playstationwire.com)
This process is analogous to that which causes a column of water falling from a rain cloud to disrupt, and rain to fall in drops rather than in continuous streams. (sciencedaily.com)
Its low price point and continuous stream of software support make it a great addition to anyone's collection. (digitaltrends.com)