Calculate time to cool house with fan

I’ve been trying to save some energy lately, so rather than running the AC at night, I’ve been trying to open windows and use a box fan blowing hot air out an open window (all windows open). I always do this in such a way as to work with any wind in the area.

That said, while I know mapping the house windows/size/orientation, etc would be complex, I was hoping to get an idea of any formulas I could use to estimate the time to cool based on factors such as internal temp, external temp, wind speed/direction, fan cfm/orientation, size of house, etc.

If there’s existing things I missed in my google searches, I’m happy to check out links I missed.

Thanks!