What are the factors I need to over/under estimate cost of heating in a box-like room? [closed]

For economic purposes, I am interested in studying the equilibrium of heat in a typical rectangular room from various sources, such as a classic radiator or vents.

If I have a radiator sitting next to a wall in just a single box room, which on the other size is exposed to frigid temperatures, how would I calculate the equilibrium temperature? I've heard of Newton's laws of cooling, I don't know if those are still relevant anymore or if they work for box-like structures.

I imagine for extending this to other rooms that this somewhat resembles constructing a matrix for a heat plate, or at least, a matrix for differential equations instead.

• Hi PhiEarl, welcome to Engineering.SE. Your question is too broad to be answered here, you can start with Cengel's Heat Transfer: A Practical Approach on the various factors considered in heat transfer calculations and different modes, and may be come back with a specific problem we can assist you with.
– Algo
Jan 5, 2021 at 9:08
• I think you find find the question is specific if you might consider that it is only a box room with typical air at standard pressure at either 32F or 0C, and nothing more. If your site advertises that this is for students but then can't answer a basic introductory question, that is very misleading. I also find it suspicious that you would recommend a book that is over \$100. This is a ".com" site, and while I am not necessarily making assumptions, the conflict of interest seems obvious here in claiming to be for information yet deceptively choosing to capitalize on it. Jan 5, 2021 at 10:53
• It is also important to note that this is a question based on industry experience as well. If you are in fact qualified to give an assessment, then you should be able to address this question rather easily by drawing upon your vast experience in referencing what are merely typical calculations for room efficiency in one of the easiest possible scenarios of your profession. Jan 5, 2021 at 11:00