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ANP QUARTERLY PROGRESS REPORT reactor fuel systems because it is essential that the exact amount of fuel in the reactor be known at all times. One good way of measuring the quantity of liquid in the tank would be to support the tank on two Hogan Thrustorq units. This should give an instantaneous measure of the weight of the tank to an accuracy of 1% of full-scale reading. Design work is under way on a system to fill the a bove-s peci f ied requirements. Complete tests of mockups of proposed designs will be made before the final design is chosen. DESIGN PHYSICS W. K. Ergen Reactor Engineering Division The compari son between mu ltigroup calculations and critical experiments on three-region reflector- moderated reactors has shown a certain amount of discrepancy, which must be overcome by adjusting the constants used in the calculations. Investi- gations were made with the ultimate aim of obtaining simpler expressions for the critical mass and power distribution for reflector-moderated reactors. This was done in the hope that these simpler expressions could be fitted to the experiments by adjusting of constants and that this fitting might be as satisfactory as theone employed for the multigroup calculations. The three-group ORACLE calculations of the approach to criti- cality of the ARE (see Sec. 1) gave a satisfactory explanation of the strange results observed during the experiment. An example of the calculations performed for the ART is the following calculation of the activation of the lnconel core shells. Activation of the lnconel Core Shells H. W. Bertini Aircraft Reactor Engineering Division An attempt was made to estimate the activity of the lnconel core shells on the inside of a 60-Mw reflector-moderated reactor after the reactor had been operating for 1000 hr. The activity will come from two main sources: the activity of the cobalt in the lnconel and the activity of the fission 26 fragments that strike the lnconel and remain there. The method described below for obtaining the estimate gives an order of magnitude of the total activity. Reasonable approximations are used to simplify the calculations, and, in this way, many of the details that a more complete analysis would require are circumvented, and yet the required accuracy of the calculations is maintained. To obtain the activity due to the cobalt, the total flux at the surface of the lnconel is obtained. This flux is multiplied by the product of the microscopic cross section of cobalt times the total number of cobalt atoms in the core shells. This gives the total number of cobalt atoms being activated per second. Multiplication of this number by 1000 hr gives the total number of cobalt atoms activated during the reactor lifetime. Since the half life of cobalt is so long (5 years) com- pared with the reactor lifetime, the decay of the excited cobalt atoms can be assumed to be constant, and therefore the disintegration rate can be taken as AN, where A is the decay constant of cobalt, and N is the total number of cobalt atoms activated during the lifetime of the reactor. The following values were used for the calculations: Reactor power = 6 x lo7 w Total mass of U235 in the core = 2,5 x lo4 g Density of lnconel = 8 g/cm3 Weight per cent of cobalt in the lnconel = 0.1% Half life of cobalt = 5 years Average flux at the surface of the reactor, - - +s=2 x $reactor 1 curie = 3 x 10" decays/rec 0: = 550 barns = 35 barns The total mass of lnconel in the core shells of the reactor is approximated by the mass of two spherical lnconel shells, one with a 15-cm radius and the other with a 25-cm radius, each shell being 0.3 cm thick. Then, I , t
‘s = = (tot a I f i s s ion s/sec) x (total u235 atoms) (550 x x = 1 x 1014 (neutrons/crn2*sec) . The total number of cobalt atoms in the liner is 6 x lo7 w x 3 x 10” (fissions/w.sec) 6 x x 2.5 x IO4 235 = [8 (g of Inconel/cm3) x 47 (2!j2 + 152) (cm2) x 0.3 cm x PERIOD ENDING DECEMBER 10,7954 ( f i s s i on s/ne u t ro n - cm 2, x 6 x (atoms of Co/g-at. of Co)] + 59 (g of Co/g-at. of Co) = 2.6 1023 . The activations per second are The total number of cobalt atoms activated is N2” = P x 1000 (hr) = 1014 2.6 1023 35 = 9.1 x 1014 (activatiordsec) . = 9.1 x 1019 (activatiodsec) x 1000 (hr) x 3.6 x lo3 (sec/hr) = 3.3 x 102’ . The activity of the shells due to cobalt activation is given by (g of Co/g of Inconel) 3.3 3 x 10’0 27
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