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3. Given a composite material made of (A) pure aluminum, Al (B) beryllium, Be and (C) pure copper, Cu, and knowing four temperatures surrounding a central node at the intersection

of these three materials (e.g., T1, T2, T3 and T4 surrounding Tm,n). A. For steady state 2-dimensional heat transfer with constant k values for each material (kAi, kBe and kcu) and that the grid surrounding these nodes is not square with Ax # Ay, write an equation to find Tm.n as a function of the four known temperatures, three known thermal conductivities, and grid spacings, Ax and Ay. Start by writing heat transfer rate equations from each direction, then use Eq = 0.You may stop there instead of solving for Tm,n- B. Given T1 = 580 K, T2 = 568 K, T3 = 620 K, and T4 = 590 K, and using Appendix Table A.1, find Tm,n.

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