A current. A rotating current is called a gyre.
These are often called currents, but sometimes are just called streams e.g. The Gulf Stream
An ocean current.
A fast-moving stream is called a river or a torrent.
Its not Oceans
bayou
Meltwater
It is called deposition. It occurs as friction or gravity overcomes the force of the moving water.
Ocean current
Fast moving stream
The stream of water which flows like a river through the ocean is a current. The Gulf Stream is the most significant such current which flows from the tropics to the northern latitudes.
A stream of charged particles is called an electrical current.
A river is a a natural stream of water of fairly large size flowing in a definite course or channel. An ocean is all the salt water that covers the Earth, but there are different divisions of it, some called oceans and some called seas.