Consider the solid bar in Figure 6.7. The temperature of the bar is maintained at the constant value T0 at the boundaries x = −1 and x = 1. In the middle of the bar, from a region −ϵ

where k is the thermal conductivity and q(x) is the position-dependent heat generation rate term

Compute the temperature profile in this bar as a function of position using finite differences.

Transcribed Image Text:

d²T 0 k- dx2 +q(x) (6.3.38)