Steady-state temperatures (K) at three nodal points of a long rectangular rod are as shown. The rod experiences a uniform volumetric generation rate of 5 X 107 W/m3 and has a thermal conductivity of 20 W/m ∙ K. Two of its sides are maintained at a constant temperature of 300 K, while the others are insulated.

(a) Determine the temperatures at nodes 1, 2, and 3.

(b) Calculate the heat transfer rate per unit length (W/m) from the rod using the nodal temperatures. Compare this result with the heat rate calculated from knowledge of the volumetric generation rate and the rod dimensions.

Transcribed Image Text:

5 mm 398.0 5 mm 348.5 374.6 -Uniform temperature, 300 K 2.