Solve the below:
Q: A plane wall 7.5 cm thick, generates heat internally at the rate of 105 W/m3. One side of the wall is insulated, and the other side is exposed to an environment at 90°C. The convective heat transfer coefficient between the wall and the environment is 500W/(m2 K). If the thermal conductivity of the wall is 12 W/(m K), calculate the maximum temperature in the wall.
GIVEN
Plane wall with internal heat generation
Thickness (L) = 7.5 cm = 0.075 m
Internal heat generation rate ( qG ) = 105 W/m3
One side is insulated
Ambient temperature on the other side (T?^?) = 90 °C
Convective heat transfer coefficient ( hc ) = 500 W/(m2 K)
Thermal conductivity (k) = 12 W/(m K)
ASSUMPTIONS
The heat loss through the insulation is negligible
The system has reached steady state
One dimensional conduction through thewall
