Heat Transfer - GATE practice papers - Mechanical for Q. 371

Q.  Two layers of different metals are made composite connecting parallel. The heat flow takes place as shown in figure. Thermal resistances of the two layers are R1 = 0.036 K/W and R2 = 0.05 K/W What is the thermal resistance of the system?  (Marks: 02)

Heat transfer through parallel composite metal wall

- Published on 19 Oct 15

a. 0.086 K/W
b. 47.778 K/W
c. 0.0209 K/W
d. none of the above

ANSWER: 0.0209 K/W
 
In a composite wall when layers are connected in parallel, the thermal resistance of the system is given by,

(1 / R) = (1 / R2) + (1 / R2)

R = (R1 × R2) / (R1 + R2)

R = (0.036 × 0.05) + (0.036 + 0.05)

R = 0.0209 K/W

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