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. © 2015 Farlex, Inc, all rights reserved.

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. © 2002 by The McGraw-Hill Companies, Inc.
See also:
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.