Figure 1(a) shows a cross-section through a plane wall withi internal heat generation, where the rate of internal heat g

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Figure 1 A Shows A Cross Section Through A Plane Wall Withi Internal Heat Generation Where The Rate Of Internal Heat G 1 (65.23 KiB) Viewed 28 times

Figure 1(a) shows a cross-section through a plane wall withi internal heat generation, where the rate of internal heat generation is qo. (a) Identify a suitable infinitesimal control volume for analysis and write out the heat balance for this control volume. You may assume 1-dimensional, steady state heat conduction. (b) By taking the heat balance identified in Part (a), write out the governing differential equation for the plane wall. (c) Hence, prove that the temperature distribution in the wall is given by: T(x) qox? + = TR-TL 9L FX + Ex+TL L 2k 2k (d) If Tų is equal to Tr, prove that the maximum temperature in the wall is given by Tmax 9.L2 + TL 8k
8 8 90 -TR L TL C 00 Conductivity, k (a)