Jorge Stolfi
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The Alvarez et al document about re-racking claims that
Assuming that this "standard dense packing" was used at Fukushima Daiichi, we get 1/0.23^2 = 18.9 assemblies per square meter. Then 1535 assemblies in a single layer would use 81.2 square meters. What are the dimensions of the #4 pool?"The standard spacing for new dense-pack racks today is 23 cm—barely above the 21.4 cm spacing in reactor cores. This “dense-packed” fuel is kept sub-critical by enclosing each fuel assembly in a metal box whose walls contain neutron-absorbing boron [...] the cross-section of the portion of a densepack box that is not obstructed by fuel rods would be about 0.032 m2
However, the claim that steam cooling would be effective with 75% of the fuel uncovered seems to assume that the whole assembly is at the same temperature, i.e. that heat generated in the top part is efficiently transported down the assembly to the water-covered part. Is my reading correct? Is that claim valid?In the absence of any cooling, a freshly-discharged core generating decay heat at a rate of 100 kWt/tU would heat up adiabatically within an hour to about 600C, where the zircaloy cladding would be expected to rupture under the internal pressure from helium and fission product gases, and then to about 900C where the cladding would begin to burn in air. [...] Steam cooling could be effective as long as the water level covers more than about the bottom quarter of the spent fuel. [...] When the water [level falls to near] the bottom of the fuel assembly, it appears doubtful that [steam flow through the assemblies] could keep the peak temperature below 1200C for fuel less than a hundred years post discharge.