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July 21, 2022

Conduction Heat Transfer through a Composite Wall - GATE ME '01

A composite wall, having a unit length normal to the plane of the paper, is insulated at the top and bottom as shown in the figure. It is comprised of four different materials A, B, C, and D.

Dimensions are HA = HD = 3 cm, HB = HC = 1.5 cm, L1 = L3 = 0.05 m, L2 = 0.1 m

The thermal conductivity of the materials are KA = KD = 50 W/m.K, KB = 10 W/m.K, KC = 1 W/m.K The fluid temps and HTC(see fig) are T1 = 200 C, h1 = 50 W/m^2.K, T2 = 25 C, h2 = 10 W/m^2.K,

Assuming one-dimensional heat transfer conditions,

a. sketch the thermal circuit of the system

b. Determine the rate of heat transfer through the wall.

Ans:

Dimensions are HA = HD = 3 cm, HB = HC = 1.5 cm, L1 = L3 = 0.05 m, L2 = 0.1 m The thermal conductivity of the materials are KA = KD = 50 W/m.K, KB = 10 W/m.K, KC = 1 W/m.K The fluid temps and HTC(see fig) are T1 = 200 C, h1 = 50 W/m^2.K, T2 = 25 C, h2 = 10 W/m^2.K, Assuming one-dimensional heat transfer conditions, a. sketch the thermal circuit of the system b. Determine the rate of heat transfer through the wall.

equivalent resistance through composite wall

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