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Critical radius of insulation

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mjki9ec3
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Jun7-10, 10:36 AM
P: 3
In class, we were taught that the critical radius of insulation (found by differentiating thermal resistance WRT outer radius and setting to zero) gives a minimum resistance and thus and maximum heat loss- i.e. it's not always productive to insulate your pipe.

but could it not also give a maximum resistance and therefore a minimum heat loss?
differentiating again surely would tell you when it would be minimum and maximum?
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