Consider a large plane wall of thickness L = 0.05 m. The wall surface at x = 0 is insulated, while the surface at x = L is maintained at a temperature of 30°C. The thermal conductivity of the wall is k= 30 W/m · K, and heat is generated in the wall at a rate of ėgen = ėoe- 05x/LW/m3where ėo = 8 × 106 W/m3. Assuming steady one-dimensional heat transfer, (a) express the differential equation and the boundary conditions for heat conduction through the wall, (b) obtain a relation for the Variation of temperature in the wall by solving the differential equation, and (c) determine the temperature of the insulated surface of the wall. Answer:(c) 314°C
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