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Temperature

Consider a lo...

Question

Consider a long cylindrical tube of inner and outer radii, $r_{i} a n d r_{o}$ , respectively, length L and thermal conductivity, k. Its inner and outer surfaces are maintained at $T_{i}$ and $T_{o}$ , respectively $(T_{i} > T_{o}$ ). Assuming one-dimensional steady state heat conduction in the radial direction, the thermal resistance in the wall of the tube is

A

\frac{1}{2 π k L} l n (\frac{r_{i}}{r_{o}})

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B

\frac{L}{2 π r_{i} k}

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C

\frac{1}{2 π k L} l n (\frac{r_{o}}{r_{i}})

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D

\frac{1}{4 π K L} l n (\frac{r_{o}}{r_{i}})

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Solution

The correct option is C $\frac{1}{2 π k L} l n (\frac{r_{o}}{r_{i}})$
Assuming one-dimensional steady state heat conduction in the radial direction, the thermal resistance in the wall of the tube is

$\frac{1}{2 π k L} l n (\frac{r_{o}}{r_{i}})$

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