Question: A long cylindrical heat generation source is placed inside a metallic tube of inner radius r1 = 1 cm and outer radius r2 = 1.3

A long cylindrical heat generation source is placed inside a metallic tube of inner radius r1 = 1 cm and outer radius r2 = 1.3 cm. The uniform heat generation rate is 105 W/m3 and its conductivity is kgen = 0.5 W/m-K. There is a contact resistance between the source and the tube of value R''tc = 0.01 m2-K/W. The outer surface of the tube is insulated with two different materials. Insulator A covers the top half of the tube and has a thermal conductivity of kA = 1 W/m-K.

Insulator B covers the bottom half of the tube has a thermal conductivity kB = 0.25 W/m-K. The contact between the two insulators is imperfect and can be assumed to have infinite contact resistance. The thickness of both insulators is identical, at tins = 5 cm. A convective flow is set up around the cylinder with heat transfer coefficient h = 20 W/m2-K and Tinf = 25 ^oC. The system is at steady state. Determine the numerical values for heat loss through the top and bottom insulation layers.

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