[ANSWERED] 1. For the one-dimensional rod shown in Figure P13–2 (insulated except at the ends), determine the..

1. For the one-dimensional rod shown in Figure P13–2
(insulated except at the ends), determine the temperatures at L/3, 2L/3, and L.
Let K
xx
= 3 Btu/(h.-in.-F), h = 1:0 Btu/(h-in
2
– F), and
Ty = 0 F. The temperature at the left end is 200 F.
2. A rod with uniform cross-sectional area of 2 in
2
and thermal conductivity of 3 Btu/ (h-in.-F) has heat flow in the x direction
only (Figure P13–3). The right end is insulated. The left end is maintained at
50 F, 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.