**19. ssm Two cylindrical rods are identical, except that one has a thermal conductivity k and the other has a thermal conductivity k2. As the drawing shows, they are placed between two walls that are maintained at different temperatures Tw (warmer) and Te (cooler). When the rods are arranged as in part a of the drawing, a total heat Q' flows from the warmer to the cooler wall, but when the rods are arranged as in part b, the total heat flow is Q. Assuming that the conductivity k, is twice as great as k, and that heat flows only along the lengths of the rods, determine the ratio Q'/Q. k1 k2 Tw k2 Tc Tw Tc (a) (b)

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
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Chapter2: Steady Heat Conduction
Section: Chapter Questions
Problem 2.33P
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**19. ssm Two cylindrical rods are identical, except that one has a thermal
conductivity k and the other has a thermal conductivity k2. As the drawing
shows, they are placed between two walls that are maintained at different
temperatures Tw (warmer) and Te (cooler). When the rods are arranged as
in part a of the drawing, a total heat Q' flows from the warmer to the cooler
wall, but when the rods are arranged as in part b, the total heat flow is Q.
Assuming that the conductivity k, is twice as great as k, and that heat flows
only along the lengths of the rods, determine the ratio Q'/Q.
k1
k2
Tw
k2
Tc Tw
Tc
(a)
(b)
Transcribed Image Text:**19. ssm Two cylindrical rods are identical, except that one has a thermal conductivity k and the other has a thermal conductivity k2. As the drawing shows, they are placed between two walls that are maintained at different temperatures Tw (warmer) and Te (cooler). When the rods are arranged as in part a of the drawing, a total heat Q' flows from the warmer to the cooler wall, but when the rods are arranged as in part b, the total heat flow is Q. Assuming that the conductivity k, is twice as great as k, and that heat flows only along the lengths of the rods, determine the ratio Q'/Q. k1 k2 Tw k2 Tc Tw Tc (a) (b)
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