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The critical radius of insulation is a counterintuitive concept within the study of heat transfer.

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Taylor Harris

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Q: What is critical radius of insulation?
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Derive critical thickness of insulation?

critical thikness of insulation of sphere


What is the physical basis for existence of a critical insulation radius?

The general thinking is that with the increase in thickness of insulation around the system(say a pipe) the heat loss will always reduce.This is true only up to a certain radius of the insulation called the critical insulation radius.After this radius any increase in the thickness would in fact increase the heat loss.This happens because there are two phenomena taking place here viz. conduction and convection.Conductive resistance is dx/k i.e. thickness/conductivity with increase in thickness the conductive resistance increases hence heat loss decreases.Convective resistance is 1/hA,now beyond the critical radius the increase in conductive resistance is offset by the reduction in convective resistance.This is because with increasing radius one has also achieved a greater heat transfer area as A=2*pi*r*l.


What is the definition of 'critical thickness'?

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Does the insulation of wires affect its quality?

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