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Question: a 45 mm diameter tube is insulated with a layer...

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A 4.5 mm diameter tube is insulated with a layer of k = 0.05 W/mK material. Heat is lost from the tube by convection only (no radiation) with ℎ̅ 𝑐 = 1.3( ∆𝑇/ D ) 1/4 W/m2K. ∆𝑇 = 𝑇𝑆 − 𝑇𝑒 where 𝑇𝑆 is at the outer surface of the insulation and D is outer diameter in meters. Find the critical radius of the insulation and the corresponding heat loss for a surface temperature of 350K and an ambient temperature of 300K.

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