Repeat the Problem 1.31 including a contact resistance of 0.1 K/W at each of the interfaces. Problem

Question:

Repeat the Problem 1.31 including a contact resistance of 0.1 K/W at each of the interfaces. Problem 1.31: A section of a composite wall with the dimensions shown in the schematic diagram 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

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

Contact resistance at each interface (Ri) = 0.1 K/W

ASSUMPTIONS