Question: Now we discuss a problem that includes sources other than those arising from boundary conditions. Figure 4.6 shows a large plate of thickness L=

Now we discuss a problem that includes sources other than those arising

Now we discuss a problem that includes sources other than those arising from boundary conditions. Figure 4.6 shows a large plate of thickness L= 2 cm with constant thermal conductivity k = 0.5 W/m/K and uniform heat generation q 1000 kW/m. The faces A and B are at temperatures of 100 C and 200 C respectively. Assuming that the dimensions in the y- and z-directions are so large that temperature gradients are significant in the x-direction only, calculate the steady state temperature distribution. Compare the numerical result with the analytical solution. The governing equation is d dx (47) +9=0 (4.25)

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