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| DOE-HDBK-3010-94
7.0 Application Examples; Liquid Storage and Ion Exchange Examples
Even using the same very conservative assumptions about accident progression, and
adding an additional conservatism in the form of the boiling liquid release, the initial
source term can go down by a factor of five by simply changing the time in the
overall process at which the incident occurs.
The remaining source term calculations examine more extreme conditions by
assuming the Pyrex ion exchange columns are constructed out of steel, thus allowing
significantly higher pressures before vessel failure. If the degree of superheat is
greater than 50 oC but less than 100 oC, the associated ARF x RF of 7E-2 is seven
times greater than the ARF x RF for burning resin. The worst case for flashing spray
release is an exotherm shortly following initiation of the elution cycle, when columns
are fully loaded with plutonium in solution and significant plutonium remains on
resin. For the normal case (i.e., columns 1 and 2 loading), 1140 g of plutonium is in
solution in all of the columns with 5360 g absorbed on the resin. For the abnormal
case (columns 2 and 3 loading) 2280 g of plutonium is in solution in the columns,
with 4220 g still absorbed on the resin. The maximum initial source terms are:
Normal: (6500 g * 0.18 * 0.1 * 0.7) + (6500 g * 0.82 * 1E-2 * 1.0) = 135 g
Abnormal: (6500 g * 0.35 * 0.1 * 0.7) + (6500 g * 0.65 * 1E-2 * 1.0) = 201.5 g
Even these may not be worst-case values for steel vessels. System pressures as high
as 10.3 MPa (1500 psia) have been recorded at the onset of vessel or flange failure in
steel systems. The fact that the example system, if made of steel, could support such
pressures is apparent from simple calculations. Such a column would essentially act
like a straight pipe under internal pressure. A correlation to estimate the minimum
thickness of pipewall for a given design pressure is (Perry and Chilton, 1973):
T = PD/[2*(SE + PY)] + C
(7-7)
where:
T = minimum required thickness (in) = typical vessel thickness of 0.3 in.
P = design pressure (psi)
D = outside diameter (in) = average of 6.6 in for 6 in inner diameter and
0.3 in thickness
S = maximum allowable material stress (psi) = average of 15,000 for
stainless steel at 400 oF.
E = weld joint efficiency factor = assume 1.0
Y = variable temperature coefficient to account for redistribution
circumferential stress = 0.4
C = Allowance for corrosion = assume 10% of thickness = 0.03 in
Page 7-43
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