Solution
Referring to the sketch, assuming symmetry so that only 9 nodes need to be identified and using node neighborhoods of 2.5 cm squares (Δx = Δy = 2.5cm), and assuming the temperature of node 5 is 1600C the node equations can be written for steady state conduction two-dimensional heat transfer. The thermal conductivity of aluminum is 236 W/m∙K from Appendix Table B-2. For node 1:
y T5 T1 2
x T2 T1 h 2 x
y
y T 2
equation, for the Temperature matrix
56
T1
0 substituting into this node