The interior of your house is hot, the exterior cool. What would the most efficient orientation be for a box fan? Pushing hot air out of a window or pulling cool air in through it?

https://sh.itjust.works/post/22037698

The interior of your house is hot, the exterior cool. What would the most efficient orientation be for a box fan? Pushing hot air out of a window or pulling cool air in through it? - sh.itjust.works

Secondarily, should the fan be outside or inside the window? Asking for a friend. (Me, help. I can’t remember physics, it’s too goddamn hot)

Well, the folks over at noctua have fan shenanigans down to a fine science, and since I have generally forgotten the last rabbit hole I went down, I’d say get two fans and have one blowing in and the other out, lol.
This is the wrong application, noctua are looking for static pressure, what OP wants is to maximise airflow. Mathias wandel has some pertinent videos on the subject, the ideal is a large fan about a metre or two away from the window, depending on the size of the fan, blowing hot air outside.
Why so far from the window?

I think you get the benefit of the airflow pulling in air along its edge to push out with it.

Like pushing a bunch of water with a broom removes not only the water in front of the broom but also more water due to surface tension and inertia

It’s called the venturi effect.
In this case it’s called the brunelli effect
Ohhhhhh the bernoulli effect?
no no, it’s the Magnum effect.
It’s called the linguini effect.
Good ole vermicelli effect
Ah yeah, the Dom Mazetti effect
Its called the Chimichurri effect
The Bozzetto effect?
It’s called the kimchi effect
It’s the butterfly effect.
Oh yeah the bruscietta effect