Solve the below problem:
Q: In a long, 30-cm square bar shown in the accompanying sketch, the left face is maintained at 40°C and the top face is maintained at 250°C. The right face is in contact with a fluid at 40°C through a heat transfer coefficient of 60 W/(m2 K) and the bottom face is in contact with a fluid at 250°C through a heat transfer coefficient of 100 W/(m2 K). If the thermal conductivity of the bar is 20 W/(mK), calculate the temperature at the 9 nodes shown in the sketch.
GIVEN
Square bar with two surfaces at fixed temperature and two surfaces with convective boundaryConditions
