CBE 332 Heat and Mass Transfer Fundamentals
Travis Bailey
HW4
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1
3.68 Consider one-dimensional conduction in a plane composite...
3.82 A high-temperature, gas cooled nuclear reactor consists of...
2
Hint: First use resistance concepts from the outside surface of the thorium layer to T∞ to get T2.
Then use equation C.14 in Appendix C for the thorium layer in order to solve for T1. To use this
equation, you’ll need to set, !"!,# = 0, the flux at r1 (the surface of the core of the rod), since that
surface is perfectly insulated.
3
3.120 (a) & (b) only. An air heater consists of a steel tube…
4
3.125 It is proposed to air cool the cylinders of a combustion …
Bonus
4 pts
Derive the expression for T1 directly... start with the general solution to the heat diffusion equation
for radial heat transfer with generation, and apply boundary conditions of zero flux at r1, and a
prescribed temperature T2 at r2. Once you have the temperature distribution, show the temperature
at r1, T(r1) is identical to that given for Ts,1 by C.14 with !"!,# = 0.