Solve the following problem:
Q: A section of a composite wall with the dimensions shown below has uniform temperatures of 200°C and 50°C over the left and right surfaces, respectively. If the thermal conductivities of the wall materials are: kA = 70 W/(m K), kB = 60 W/(m K), kc = 40 W/(m K) and kD = 20 W/(m K), determine the rate of heat transfer through this section of the wall and the temperatures at the interfaces.
GIVEN
A section of a composite wall
Thermal conductivities
kA = 70 W/(mK)
kB = 60 W/(mK)
kC = 40 W/(mK)
kD = 20W/(mK)
Surface temperatures
Left side (TAs) = 200°C
Right side (TDs) = 50°C
ASSUMPTIONS
One dimensional conduction
The system is in steady state
The contact resistances between the materials isnegligible