Consider steady two-dimensional heat transfer in a long solid bar of square cross section...

Consider steady two-dimensional heat transfer in a long solid bar of square cross section in which heat is generated uniformly at a rate of e= 0.19 X 105 Btu/h-ft3, The cross section of the bar is 0.5 ft × 0.5 ft in size, and its thermal conductivity is k= 16 Btu/h ft °F All four sides of the bar are subjected to convection with the ambient air at T∞ = 70°F with a heat transfer coefficient of h =7.9 Btu/h·ft2.oF. Using the finite difference method with a mesh size of Δx = Δy = 0.25 ft, determine (a) the temperatures at the nine nodes and (b) the rate of heat loss from the bar through a l-ft-long section.

Answer: (b) 4750 Btu/h

FIGURE P5-68E