Given the following physical situation: Steady-state energy transport in a solid rod of radius R and length L, with a perfectly insulated cylindrical surface which is at steady-state with one end at T1 and the other end at T2 (T1 > T2)

a) Provide a sketch of the physical problem and draw the appropriate Differential Volume Element (DVE) within the sketch, labeling all itsdimensions and showing where it is located relative to your coordinate system. b) Label the DVE and show the directions of all fluxes in and out of the DVE c) Write the appropriate expression(s) for each of the five terms of the general conservation equation. d) Starting with the results in (c), show ALL steps in deriving the applicable differential equation for this physical situation.

3. (Problem 2.8, Thomson text, Chapter 2) (Points: 20) Repeat the previous problem (Thomson 2.6) given the following physical situation:

Steady-state energy transport through a flat, thin metallic plate which is used as a cover on a rectangular vat of hot fluid. The bottom of the cover is at 70 C and the top is at 30C.