flow with (something)
To move through someone or something, as of a liquid. I would never be able to fight in a war like Joe did—that guy's veins must flow with ice water. The streets were flowing with lava after that volcanic eruption.
flow with something
to have some liquid coursing on the surface or within someone or something. The sewers were flowing with the floodwaters. Her veins must flow with ice water. She is so cold.