flow in

flow in(to) (something)

To rush into something in a smooth, fluid manner, as of a liquid. We watched the tributary as it flowed into the river. I didn't consciously think of those images—it's like they just flowed into my head, and then I captured them in my poem.
See also: flow
Farlex Dictionary of Idioms.

flow in(to) something

to course into something; to pour into something. The words flowed into my head, and I felt like I could write again. The water flowed in when I opened the door on the flood.
See also: flow
McGraw-Hill Dictionary of American Idioms and Phrasal Verbs.
See also:
  • flow in(to) (something)
  • flow along
  • flow across
  • flow across (something)
  • flow away from (someone or something)
  • flow away
  • flow out of (someone or something)
  • submerge
  • submerge in
  • submerged
References in periodicals archive
If magnetic fields were common in the early solar system, as scientists believe, then convective flow in the outer core must have created electric currents in the fluid iron.
At present, the models take shortcuts in simulating fluid flow in the core.
Core concerns: the hidden reaches of Earth are starting to reveal some of their core secrets