Consider the heat conduction problem shown in the figure. Inside the bar, heat is generated from a uniform heat source \(Q_{g}=10 \mathrm{~W} / \mathrm{m}^{3}\), and the thermal conductivity of the material is \(k\) \(=0.2 \mathrm{~W} / \mathrm{m} /{ }^{\circ} \mathrm{C}\). The crosssectional area \(A=1 \mathrm{~m}^{2}\). When the temperatures at both ends are fixed to \(0^{\circ} \mathrm{C}\), calculate the temperature distribution using:

(a) two equallength elements and

(b) three equallength elements. Plot the temperature distribution along the bar and compare with the exact solution.

Transcribed Image Text:

T=0C X Insulated Qg= 10 W/m Insulated 1m T=0C