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Thermodynamics HW Solutions 96

Thermodynamics HW Solutions 96 - Chapter 2 Heat Conduction...

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Chapter 2 Heat Conduction Equation Solution of Steady One-Dimensional Heat Conduction Problems 2-52C Yes, this claim is reasonable since in the absence of any heat generation the rate of heat transfer through a plain wall in steady operation must be constant. But the value of this constant must be zero since one side of the wall is perfectly insulated. Therefore, there can be no temperature difference between different parts of the wall; that is, the temperature in a plane wall must be uniform in steady operation. 2-53C Yes, the temperature in a plane wall with constant thermal conductivity and no heat generation will vary linearly during steady one-dimensional heat conduction even when the wall loses heat by radiation from its surfaces. This is because the steady heat conduction equation in a plane wall is dT = 0 whose solution is Tx regardless of the boundary conditions. The solution function represents
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