05.08.2013 Views

ORNL-2106 - the Molten Salt Energy Technologies Web Site

ORNL-2106 - the Molten Salt Energy Technologies Web Site

ORNL-2106 - the Molten Salt Energy Technologies Web Site

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

ANP PROJECT PROGRESS REPORT<br />

a 2.32-Mev alpha particle is given off and that in<br />

<strong>the</strong> remaining 7% a 2.8-Mev alpha particle is given<br />

off.ll The heating from beta decay resulting from<br />

neutron captures in copper was calculated, and it<br />

was found to be negligible compared with <strong>the</strong><br />

a Ipha-part ic le heating.<br />

The gamma-ray heating resulting from <strong>the</strong><br />

emission of decay gamma radiation in <strong>the</strong> heat<br />

exchanger was calculated on <strong>the</strong> basis of slab<br />

geometry by using Eq. 6 for each energy group.<br />

The spectrum of gamma rays was divided into <strong>the</strong><br />

seven energy groups given in ref. 3, with average<br />

energies of 0.5, 1, 2, 4, 6, 8, and 10 MeV. The<br />

buildup factor for <strong>the</strong> heat exchanger was used<br />

for each energy group. The total heating at<br />

various points was calculated by summing over<br />

<strong>the</strong> contributions of each energy group.<br />

The source strength of <strong>the</strong> gamma rays resulting<br />

from inelastic neutron scattering in <strong>the</strong> beryllium<br />

reflector was also calculated. These sources are<br />

appreciable only in <strong>the</strong> first 9 cm of beryllium.<br />

However, <strong>the</strong>ir contributions to <strong>the</strong> heating in <strong>the</strong><br />

regions around <strong>the</strong> heat exchanger are small<br />

compared with those of <strong>the</strong> beryllium capture<br />

gamma-ray sources. The reason for this is that<br />

<strong>the</strong> gamma rays from inelastic scattering were<br />

taken to be I-Mev gamma rays, which are at-<br />

tenuated much more strongly by <strong>the</strong> beryllium than<br />

are <strong>the</strong> bMev capture gamma rays. In addition<br />

<strong>the</strong> total source strength of <strong>the</strong> gamma rays from<br />

inelastic neutron scattering is much smaller than<br />

that of <strong>the</strong> capture gamma rays because of <strong>the</strong><br />

volumes of beryllium involved in each.<br />

The source strength of <strong>the</strong> capture gamma rays<br />

resulting from delayed neutron captures was<br />

calculated by assuming that 50% of <strong>the</strong> delayed<br />

neutrons were given off in <strong>the</strong> heat exchanger and<br />

that all <strong>the</strong>se neutrons were captured in <strong>the</strong><br />

neighborhood of <strong>the</strong> heat exchanger. By assuming<br />

that an &Mev gamma ray was given off for each<br />

capture, <strong>the</strong> average source strength per unit<br />

volume was found to be small as compared with<br />

<strong>the</strong> o<strong>the</strong>r sources in this region.<br />

The capture gamma-ray sources in <strong>the</strong> copper<br />

were calculated in <strong>the</strong> same general way that <strong>the</strong><br />

alpha-particle heating in <strong>the</strong> copper was calcu-<br />

lated, with <strong>the</strong> source converted to a surface<br />

source of gamma rays. In itself this is not an<br />

insignificant source, but <strong>the</strong> heating resulting<br />

from this source would be only about 2% of <strong>the</strong><br />

total from all <strong>the</strong> sources considered here.<br />

34<br />

The gamma.rays resulting from inelastic neutron<br />

scattering in <strong>the</strong> core shells were calculated by<br />

using <strong>the</strong> Curtiss-Wright multigroup fluxes5 and<br />

an inelastic microscopic cross section of 1.5<br />

barns (ref. 13) for <strong>the</strong> constituents of Inconel.<br />

It was assumed thaf a 2-Mev gamma ray was given<br />

off for each inelastic collision. The results<br />

gave a source strength of about 10% of that<br />

resulting from <strong>the</strong> capture gamma rays in <strong>the</strong>se<br />

shells.<br />

As has already been remarked, <strong>the</strong> capture<br />

gamma rays in <strong>the</strong> island core shell were neglected<br />

because of <strong>the</strong> shielding properties of <strong>the</strong> fuel.<br />

Where it has not been stated o<strong>the</strong>rwise, <strong>the</strong><br />

dimensions used in <strong>the</strong>se calculations were those<br />

from ref. 1 for <strong>the</strong> equatorial plane of <strong>the</strong> reactor.<br />

RADIATION HEATING IN VARIOUS REGIONS<br />

OFTHENORTHHEAD<br />

H. W. Bertini D. L. Platus14<br />

Calculations of <strong>the</strong> radiation heating to be<br />

ex cted in various regions in <strong>the</strong> north head of<br />

<strong>the</strong> ART were undertaken in order to supply<br />

pt numbers from which <strong>the</strong>rmal-stress calculations<br />

could be made. Because of <strong>the</strong> complexity and<br />

<strong>the</strong> time that would be involved in calculating<br />

accurately <strong>the</strong> heating in all <strong>the</strong> regions of <strong>the</strong><br />

north head, it was decided to make preliminary<br />

estimates of <strong>the</strong> deposition rates. More accurate<br />

values calculated for o<strong>the</strong>r regions of <strong>the</strong> reactor<br />

were used as guides. In all cases <strong>the</strong> tendency<br />

was to overestimate <strong>the</strong> heating. These estimates<br />

can be used to identify <strong>the</strong> <strong>the</strong>rmal-stress<br />

problems, and where <strong>the</strong> calculated <strong>the</strong>rmal<br />

stresses are marginal, <strong>the</strong> heating will be recalculated,<br />

Calculations were made of <strong>the</strong> heat-deposition<br />

rate in a slab of lnconel bounded on one side by<br />

an infinite fuel region containing <strong>the</strong> sources of<br />

radiation. This heat-generation rate was used in<br />

all regions in <strong>the</strong> north head which are bounded by<br />

finite fuel volumes,<br />

The heat-deposition rates in a slab of lnconel<br />

bounded on one side by slabs of sodium of various<br />

thicknesses were calculated, and <strong>the</strong> results were<br />

extrapolated and interpolated to obtain <strong>the</strong> heat-<br />

generation rates in <strong>the</strong> lnconel regions of <strong>the</strong> north<br />

13H. Le Taylor, 0. Lonsio, and T. W. Bonner, Pkys.<br />

Rev. 100, 174 (1955).<br />

assignment from USAF.<br />

LI<br />

8<br />

e-<br />

c<br />

.<br />

.<br />

t<br />

c<br />

9

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!