"I need to clean the house on Sunday."
Translation:Jeg må vaske huset på søndag.
No, we wouldn't say that, but "Kan jeg la vannet renne?" works if you're planning on keeping it running for a while. "Kan jeg la vannet stå på" is another alternative.
You kan also use it to describe the water in a river or a creek, or the waterway itself: "Nilen renner ut i Middelhavet".