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Homework Help: Heat Flow through Three Rods

  1. Oct 17, 2013 #1
    Three identical rods are welded together to form a Y-shaped figure. The cross-sectional area of each rod is A, and they have length L and thermal conductivity k.
    The free end of rod 1 is maintained at T_1 and the free ends of rods 2 and 3 are maintained at a lower temperature T_0. You may assume that there is no heat loss from the surfaces of the rods.

    What is the heat current H_1 in rod 1?
    Express the heat current in terms of any or all of k, L, A, and the temperatures T_1 and T_0.

    I guess the ans is (2kA/3L)(T_1+T_2), but it is wrong....
    Can anyone teach me.....

    Attached Files:

  2. jcsd
  3. Oct 17, 2013 #2

    rude man

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    What is your T2???

    label the junction temperature as T2. Then write the heat flow equations for heat from T1 to T2 and T2 to T0. Solve for T2, then dQ/dt is obvious.
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