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A composite cylindrical wall is composed of 2 materials of thermal conductivity ka = 240 W/mK...

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Mechanical Engineering

A composite cylindrical wall is composed of 2 materials ofthermal conductivity ka = 240 W/mK and kb = 20 W/mK, whereinterfacial contact resistance is negligible.

- Liquid pumped through the tube is at a temperature Tinf, i =200 F and provides a convection coefficient hi = 450 W/m^2K at theinner surface of the composite pipe

-The outer surface is exposed to Tinf, o and provides aconvection coefficient of ho = 20 W/m^2K

-A thermocouple between the two pipes (at r = r2) gives T2 = 180F

- r1 = 0.25m, r2 = 0.31 m, r3 = 0.35 m

- Assume pipe length = 1 m

(A) Sketch (Clearly and neatly) the thermal resistance circuitof the system and express all resistances in terms of variables.Calculate all the resistances and provide their values andunits.

(B) Calculate the heat transfer, q between the interface where r= r2 and the ambient air and provide the units.

(C) Obtain the outside free stream temperature Tinf,o

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