I am looking for a temperature decay model/formula that will help me understand at what rate does a hot object lose it's influence per distance.
Hot object = an object with a temperature higher than the average room temperature
Influence/distance = if we put a thermometer and measure the temperature at
n distance from the object, what will be the difference between the room average and the temperature at that point?
Now obviously I would like a continuous function, not a discrete one. So how can I model the temperature
n distance away from the hot object?
Obviously the object will heat the room, so it is a transient problem, but for sake of simplicity I am only curious what happens at
T1. But if you can help me with the transient model, then all the better.