Project ForgeHeat Transfer
Conduction
GATE 2016
Easy
A hollow cylinder has length L, inner radius r1, outer radius r2, and thermal conductivity k. The thermal resistance of the cylinder for radial conduction is
- ln(r2/r1) / (2πkL)
- Bln(r1/r2) / (2πkL)
- C2πkL / ln(r2/r1)
- D2πkL / ln(r1/r2)
Explanation
The standard radial conduction resistance for a hollow cylinder is R = ln(r2/r1)/(2πkL), derived by integrating Fourier's law in cylindrical coordinates.
Source: GATE ME 2016 Set-2 (2016)
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