Two cylindrical rods are identical, except that one has a

Chapter , Problem 19

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Two cylindrical rods are identical, except that one has a thermal conductivity k1 and the other has a thermal conductivity k2. As the drawing shows, they are placed between two walls that are maintained at diff erent temperatures TW (warmer) and TC (cooler). When the rods are arranged as in part a of the drawing, a total heat Q9 fl ows from the warmer to the cooler wall, but when the rods are arranged as in part b, the total heat fl ow is Q. Assuming that the conductivity k2 is twice as great as k1 and that heat fl ows only along the lengths of the rods, determine the ratio Q9/Q.

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