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Critical Thickness of Insulation for Cylinder

It is planned...

Question

It is planned to insulated the shell of a heat exchanger. The outside diameter of the shell is $30 c m,$ its outer surface temperature is at $280^{\circ} C$ and it may be assumed to be remains constant even after applying insulation on the shell.

If the air temperature of the outer surface of insulation is must not exceed 30 and the loss of heat form heat exchanger is 200 W/m. What is the thickness of insulation provided

A

1.43 m

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B

0.71 m

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C

0.55 m

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D

1.25 m

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Solution

The correct option is A 1.43 m
For air temeperature not to exceed $30^{\circ} C,$ the outer surface temperature of insulation material should be $30^{\circ} C$

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