(Solved): The thermal analysis of an apartment unit will be conducted using numerical methods. A top view of t ...
The thermal analysis of an apartment unit will be conducted using numerical methods. A top view of the room with dimensions in cm is provided in Figure 1. As shown in the figure, one of the walls of the room is parabolic. The parabolic wall of the room and the wall at
y=0cmwithin the range
0cm<=x<=500cmare the exterior walls. The wall at
x=0cmwithin the range
0cm<=y<=484cmfaces the building's interior void, and its temperature is assumed to be constant at
15\deg C. The ceiling of the room marks the start of the roof and is assumed to have a constant temperature of
8\deg C. The floor of the room contains an underfloor heating system, which consists of several pipes. Hot water flowing through there pipes heats the room. Additionally, the occupants of the room, various electronic devices, and lighting fixtures emit heat. Based on this information, a 3D thermal analysis of the room will be carried out. Furthermore, there is an electrical outlet on the wall at
y=484cmwithin the range
0cm<=x<=522 cm , and it has been observed that the outlet is experiencing a problem. The issue is suspected to be caused by overheating of the electrical wires, as heating has been observed in certain sections of the wall. Therefore, the region of maximum wall temperature will be calculated, and the issue will be examined. The dimensions of this wall are schematically presented in Figure 2. Figure 2. Given that the heat generation from people, lighting, and electronic devices in the room is approximately
6.62(W)/(m^(3)), calculate the total heat generation in watts (W).
