GATE ME 2016 Set 2 — Question 25
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Heat Transfer → Conduction → 1D Steady Conduction
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Question
A hollow cylinder has length , inner radius , outer radius , and thermal conductivity . The thermal resistance of the cylinder for radial conduction is
Correct answer
(A) (ln(r₂/r₁))/(2π kL)
Solution
The rate of heat transfer by radial conduction through a hollow cylinder is given by Fourier's Law:Thermal resistance () is defined as the ratio of temperature difference to the heat flow rate:Substituting the expression for :Thus, option (A) is correct.
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