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clas5 - Implications of Energy Generation Involves a...

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9/1/2010 1 One-Dimensional, Steady-State Conduction with Thermal Energy Generation Chapter Three Section 3.5, Appendix C Class 5 Implications of Energy Generation Involves a local (volumetric) source of thermal energy due to conversion from another form of energy in a conducting medium. The source may be uniformly distributed , as in the conversion from electrical to thermal energy (Ohmic heating): ( ) exp q x α Generation affects the temperature distribution in the medium and causes the heat rate to vary with location, thereby precluding inclusion of the medium in a thermal circuit. The Plane Wall Consider one-dimensional , steady-state conduction in a plane wall of constant k , uniform generation , and asymmetric surface conditions : 0 2 2 = + k q dx T d & Is the heat flux independent of x? a) Yes b) No c) It depends on the boundary conditions The Plane Wall Consider one-dimensional , steady-state conduction in a plane wall of constant k , uniform generation , and asymmetric surface conditions : 0 2 2 = + k q dx T d &
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