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.

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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

genius_generous answered 1 year ago

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