There’s the rub. Your model will have to not only know the external temperature, but also the conductivity of the walls, the power delivered or extracted by the heat/cold source, the people or pet animals in the room and how much heat they are generating, the temperature in the adjoining rooms, and all the other factors affecting the temperature that the designer may not have thought of.
All to avoid the cost of a thermometer which you’ll need anyway to calibrate the model. This is Heath Robinson, not practical engineering.
There’s the rub. Your model will have to not only know the external temperature, but also the conductivity of the walls, the power delivered or extracted by the heat/cold source, the people or pet animals in the room and how much heat they are generating, the temperature in the adjoining rooms, and all the other factors affecting the temperature that the designer may not have thought of.
All to avoid the cost of a thermometer which you’ll need anyway to calibrate the model. This is Heath Robinson, not practical engineering.