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Consider a large plane wall of thickness L = 0.3 m, thermal conductivity k = 2.5 W/m·K, and surface area A = 12 m2. The left side of the wall at x = 0 is subjected to a net heat flux of , while the temperature at that surface is measured to be T1 = 80°C. Assuming constant thermal conductivity and no heat generation in the wall, (a) express the differential equation and the boundary conditions for steady one-dimensional heat conduction through the wall, (b) obtain a relation for the variation of temperature in the wall by solving the differential equation, and (c) evaluate the temperature of the right surface of the wall at x = L.

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Step 1

(a)

Write the differential equation for one dimensional heat transfer through conduction for a slab.

Step 2

For steady state heat transfer without heat generation the differential equation will be reduced to.

Step 3

Boundary conditions ar...

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