Repeat Prob. 568 using EES (or other) software. Data from problem 68 Consider steady two-dimensional heat transfer

Question:

Repeat Prob. 5–68 using EES (or other) software.

Data from problem 68

Consider steady two-dimensional heat transfer in a long solid body whose cross section is given in the figure. The temperatures at the selected nodes and the thermal conditions at the boundaries are as shown. The thermal conductivity of the body is k = 45 W/m · K, and heat is generated in the body uniformly at a rate of ė = 4 × 10⁶ W/m³. Using the finite difference method with a mesh size of Δx = Δy = 5 cm, determine

(a) The temperatures at nodes 1, 2, and 3

(b) The rate of heat loss from the bottom surface through a 1-m-long section of the body.