A rod with uniform cross-sectional area of 2 in2 and thermal conductivity of 3 Btu/(h-in.-oF) has heat flow in the x direction only (Figure P13-3). The right end is insulated. The left end is maintained at 50 oF, and the system has the linearly distributed heat flux shown.
Use a two-element model and estimate the temperature at the node points and the heat flow at the left boundary.
Figure P13-3

Transcribed Image Text:

q*(x) = 0. Ix Btu/h-ir T(0) - 50'F Area = 2 in? k = 3 Btu/h-in.-°F -60 in.- q* (0) = 0 q*(2) - 3 q*(3) = 6 -30 in.