GATE ME 2017 Set 1 — Question 38
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Heat Transfer → Conduction → 1D Steady Conduction
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Question
Heat is generated uniformly in a long solid cylindrical rod (diameter ) at the rate of . The thermal conductivity of the rod material is . Under steady state conditions, the temperature difference between the centre and the surface of the rod is ________ .
Correct answer
10 to 10
Solution
For a solid cylinder with uniform heat generation , the temperature difference between the center () and the surface () is given by:Given:
Substituting the values:
Substituting the values:
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