A two-dimensional bar has the geometry shown in Fig. P 5-132 with specified temperature TA...

A two-dimensional bar has the geometry shown in Fig. P 5-132 with specified temperature TA on the upper surface and TB on the lower surfaces, and insulation on the sides. The thermal conductivity of the upper part of the bar is kA while that of the lower part is kB For a grid defined by Δx = Δy = l, write the simplest form of the matrix equation, AT = C, used to find the steady-state temperature field in the cross section of the bar. Identify on the figure the grid nodes where you write the energy balance.

FIGURE P5-132