hw02_11 - heat transfer coefficients on either side of the...

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NEEP 411: HW#2 Heat Conduction in Fuel Elements Due: Friday, September 30 th , 2011 1. Sometimes the power density in a fuel element is not uniform. For an element adjacent to a strong absorber, the thermal flux, and therefore the power density, can be skewed across the element. Suppose we consider a bare, slab geometry with governing equation: Solve this equation subject to the boundary conditions that T = T s (a surface temperature) at x = ± t /2. Find the location of the peak temperature, the temperature difference T max T s and how much larger or smaller this difference is compared to the case of uniform power generation. 2. 5-3, El-Wakil; Note: Here we have a case of uniform power generation, but different
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Unformatted text preview: heat transfer coefficients on either side of the element. Again we are treating this in slab geometry. The governing equation is: The boundary conditions can be expressed as: the heat transfer into an interface from the solid must match the heat transfer out of the interface into the fluid. Because of the difference in interface orientation, this takes a slightly different form on the inner surface ( x = 0) than the outer surface ( x = t ): Here h and h t refer to the heat transfer coefficients at x = 0 and x = t respectively. 3. 5-5, El-Wakil; Note: The flux shape in a spherical reactor is, per Table 3-2, page 59 of El-Wakil, 4. 5-8, El-Wakil...
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