Ok - just to be clear. My sink is on the ground floor. There is a ‘U’ bend directly under the waste and then a (more or less horizontal) 1½" pipe, about 6 feet long through the outside wall, a 90 degree bend and a two feet of downpipe to an open drain. There is no other plumbing connected to it so the hose pipe analogy is a good one.
I assume that there has been a build up of something nasty in the ‘U’ bend which has slowed the drain. Until recently, it drained faster (as it should) than the tap could supply water. If I filled the sink using a plug, it tended to form a vortex as it drained which is what you would expect.
My query is why the vortex makes it drain faster now that there is a restriction.
See here is the disconnect … the relative “vacuum” being created is between the trap and the stack and only exists when water has drained completely out of the sink and the water level sinkside on the trap is down to the top level of the stackside of the trap and some air gets in stackside. Under that circumstance the stack might drain marginally slower and pull air in through the trap or other traps and cause burbling in the trap … but the water would already be drained from the sink! Until water has drained from the sink there is no relative vacuum behind the slug of water … atmospheric pressure is still behind the slug of water from the open sink drain.
Another possibility … the vortex does not make it drain faster; the vortex occurs when, for some reason such as waxing and waning of the size of the clog, or more water in the sink creating more pressure, the sink is draining faster.
Maybe by angling the water with the swivel tap you are slightly dislodging some small portion of the clog temporarily?