A pipe of 25 mm outer diameter carries steam. The heat transfer c

A pipe of 25 mm outer diameter carries steam. The heat transfer c
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A pipe of 25 mm outer diameter carries steam. The heat transfer coefficient between the cylinder and the surrounding is 5 W/m2K. It is proposed to reduce the heat lost from the surrounding pipe by adding insulation having a thermal conductivity of 0.05 W/mK. Which of the following statements is true?

A. <p>The outer radius if the pipe = the critical radius</p>

B. <p>The outer radius of the pipe is less than the critical radius</p>

C. <p>Adding the insulation will reduce the heat lost</p>

D. <p>Adding the insulation will increase the heat lost</p>

Please scroll down to see the correct answer and solution guide.

Right Answer is: C

SOLUTION

Concept:

In order to provide effective insulation, the radius of insulation must be greater than the critical radius of insulation as at a critical radius of insulation maximum heat loss takes place.

Calculation:

Given:

r2 = 0.125 m = 12,5 mm, ki = 0.05 W/mK
ho = 5 W/m2K


\(r_c = \frac{{{k_i}}}{{{h_o}}} = 10mm\)
\(r_c < r_2,\)the addition of insulation will reduce heat loss