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AbstractAbstract
[en] The procedure for calculating the shielding correction, formulated in the previous paper [6], was broadened and applied for a cluster of cylindrical rods. The sam analytical method as in the previous paper was applied. A combination of Gauss method with the method of Almgren and Porn used for solving the same type of integral was used to calculate the geometry functions. CLUSTER code was written for ZUSE-Z-23 computer to calculate the shielding corrections for pairs of fuel rods in the cluster. Computing time for one pair of fuel rods depends on the number of closely placed rod, and for two closely placed rods it is about 3 hours. Calculations were done for clusters containing 7 and 19 UO2 rods. results show that calculated values of resonance integrals are somewhat higher than the values obtained by Helstrand empirical formula. Taking into account the results for two rods from the previous paper it can be noted that the calculated and empirical values for clusters with 2 and 7 rods are in agreement since the deviations do not exceed the limits of experimental error (±2%). In case of larger cluster with 19 rods deviations are higher than the experimental error. Most probably the calculated values exceed the experimental ones result from the fact that in this paper the shielding correction is calculated only in the region up to 1 keV
[sr]
Postupak izracunavanja korekcije zaklanjanja koji je u radu [6] formulisan prosiren je na snop cilindricnih sipki. Primenjen je isti analiticki postupak kao i u prethodnom radu. Za izracunavanje funkcija geometrije kombinovan je Gaussov metod sa metodom koji su Almgren i Porn primenjivali za resavanje integrala istog tipa. Za racunsku masinu ZUSE-Z-23 napisam je program CLUSTER koji izracunava korekcije zakljanja za parove sipki u snopu. Vreme racunanja za jedan par sipki zavisi od broja blize postavljenih sipki i za slucaj postojanja dve blize postavljene sipke iznosi oko 3 sata. Izvrsena su izracunavanja za snopove od 7 i 19 sipki od UO2. Rezultati pokazuju da su racunate vrednosti za rezonantne integrale nesto vece od vrednosti dobijenih na osnovu Helstrandove empirijske formule. Imajuci u vidu i rezultate iz prethodnog rada za dve sipke mose se uociti da se racunate i empirijske vrednosti za snopove od 2 i 7 sipki slazu jer odstupanja ne izlaze iz okvira eksperimentalne greske (±2%). Za veci snop od 19 sipki odstupanja su veca od eksperimentalne greske. Vrlo verovatno da premasenje racunskih nad eksperimentalnim vrednostima dolazi dobrim delom zbog toga sto se u ovome radu korekcija zklanjanja racuna jedino u razdvojenoj oblasti do 1 keV. (author)Original Title
Izracunavanje rezonantnog integrala za gorivni element u obliku snopa sipki
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1969; 21 p; IBK--878; Also available from the Institute of nuclear sciences Vinca; 4 tabs., 8 figs., 17 refs.
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