GATE ME 2021 Set 1 — Question 53
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Heat Transfer → Conduction → 1D Steady Conduction
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Question
An uninsulated cylindrical wire of radius produces electric heating at the rate of . The temperature of the surface of the wire is when placed in air at . When the wire is coated with PVC of thickness , the temperature of the surface of the wire reduces to . Assume that the heat generation rate and the convective heat transfer coefficient are same for both uninsulated wire and the coated wire. The thermal conductivity of PVC is ________ (round off to two decimal places).
Correct answer
0.1 to 0.12
Solution
1.For the uninsulated wire, the heat transfer rate per unit length is given by:
2.For the coated wire, the outer radius is . The heat transfer rate is:
Rounding to two decimal places, the thermal conductivity is .Continue learning with Success Tracker
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