Repeat Prob. 5–45 using copper fins (k = 386 W/m · K) instead of aluminum ones.

Data from problem 45

A hot surface at 100°C is to be cooled by attaching 3-cm-long, 0.25-cm-diameter aluminum pin fins (k = 237 W/m · K) with a center-to-center distance of 0.6 cm. The temperature of the surrounding medium is 30°C, and the combined heat transfer coefficient on the surfaces is 35 W/m² · K. Assuming steady one-dimensional heat transfer along the fin and taking the nodal spacing to be 0.5 cm, determine

(a) The finite difference formulation of this problem,

(b) The nodal temperatures along the fin by solving these equations,

(c) The rate of heat transfer from a single fin,

(d) The rate of heat transfer from a 1-m × 1-m section of the plate.

Transcribed Image Text:

POT 100°C 0.5 cm 3 cm. 0.6 cm 0.25 cm 0 1 2 3 4 5 6 X