Consider a long cylindrical tube of inner and outer radii, ri and ro, respectively, length, L and thermal conductivity, k. its inner and outer surfaces are maintained at Ti and To respectively (Ti > To) . Assuming one-dimensional steady-state heat conduction in the radial direction, the thermal resistance in the wall of the tube is

\(\frac{1}{{4\pi kL}}\ln \left( {\frac{{{r_o}}}{{{r_i}}}} \right)\)

\(\frac{1}{{2\pi kL}}\ln \left( {\frac{{{r_i}}}{{{r_o}}}} \right)\)

\(\frac{1}{{2\pi kL}}\ln \left( {\frac{{{r_o}}}{{{r_i}}}} \right)\)

Consider a long cylindrical tube of inner and outer radii, ri and ro,

1.	Consider a long cylindrical tube of inner and outer radii, ri and ro, respectively, length, L and thermal conductivity, k. its inner and outer surfaces are maintained at Ti and To respectively (Ti > To) . Assuming one-dimensional steady-state heat conduction in the radial direction, the thermal resistance in the wall of the tube is
A.	\(\frac{1}{{2\pi kL}}\ln \left( {\frac{{{r_i}}}{{{r_o}}}} \right)\)
B.	\(\frac{L}{{2\pi {r_i}k}}\)
C.	\(\frac{1}{{2\pi kL}}\ln \left( {\frac{{{r_o}}}{{{r_i}}}} \right)\)
D.	\(\frac{1}{{4\pi kL}}\ln \left( {\frac{{{r_o}}}{{{r_i}}}} \right)\)
Answer» D. \(\frac{1}{{4\pi kL}}\ln \left( {\frac{{{r_o}}}{{{r_i}}}} \right)\)

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