Question
In: Physics
Find the correlation that gives the critical state of the homogeneous spherical reactor with "diffusion effect...
Find the correlation that gives the critical state of the homogeneous spherical reactor with "diffusion effect cross section ∑s" and "fission effect cross section ∑f", "diffusion coefficient D" and radius R.
Solutions
Expert Solution
Homogeneous spherical reactor works by performing some reactions
like fission.There are some rules and some working principles
behind this operation.The important point for this reactor for
working is a homogenous environment. we can say that it is one
dimensional due to its model.Here the total neutron cross section
are independent of the spatial region.During optimization generic
algorithm and weighted sum method are used in homogeneous spherical
reactor.The correlation between diffusion effect cross section
s and fission effect cross section,diffusion coefficient D and
radius R can be estimated with the help of few mathematical
equations.we can see that these are all inter related to each
other.
D=1/3*s,here
we got the correlation between diffusion effect cross section and
diffusion coefficient
R=(
*M/
k
- 1)-D,here we got the correlation between radius and diffusion
coefficient
R=1/3*f,here
we got the correlation between radius and fission effect cross
section
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