In: Mechanical Engineering
Your newly purchased house where you are aiming for an indoor temperature of 18.0°C is well insulated apart from a 5.0 cm thick 12m² wooden wall facing the garage. Typically, the garage maintains a temperature of at least 9.0°C even in winter. What power do you lose because of the wall? One winter evening, the garage door gets stuck in the upright position and you want to know what the indoor temperature will be when the coldest night is -15.0 ° C in the garage. You can heat the room with a 400 W power element.
The rate of heat energy transfer through the conduction process is a function of thermal conductivity of the material considered, area of the surface considered, the temperature of the hot region as well as cold region, and the thickness of the material considered.
In the given problem by fourirer law of conduction first we need to find the thermal conductivity of wall materials to find the required heat loss.