I do wonder about this. My experience seems to agree with several others, that a bigger stove - due to it's larger surface area, can keep a place warmer at a lower surface temperature. However, theory disagrees, for the following reasons:
1. Volume goes up much faster than surface area. Volume is x*y*z, whereas Area is only 2xy+2yz+2zx, or s cubed versus s squared. For example, the Jotul 600 is almost 2x the volume of a Jotul 400, but has only 22% more surface area, using rough envelope dimensions.
2. Radiated power is, meaning there is a much higher dependency on surface temperature (to the fourth power) than surface area (to the first power). So much so, that surface temperature should completely dominate, regardless of area.![]()
I'd like to hear from a real physist on this, as I'm sure I'm missing something. Me? I'm heating a similar space to the OP with a stove the size of a 1970's TV console (only a slight exageration), and have been running surface temps of 250 - 350 F, versus a lot of people I see posting 550 - 650 F. My room is a toasty 70 - 73 F at those low surface temp's, so I do think there must be something to BAR's surface area statement.
https://www.hearth.com/talk/threads/somebody-explain-this-please.64328/