Nuclear technology is technology that involves the
reactions of atomic nuclei. Among the notable nuclear technologies are nuclear
reactors, nuclear medicine and nuclear weapons. In natural nuclear radiation,
the byproducts are very small compared to the nuclei from which they originate.
Nuclear fission is the process of splitting a nucleus into roughly equal parts,
and releasing energy and neutrons in the process. If these neutrons are
captured by another unstable nucleus, they can fission as well, leading to a
chain reaction. The average number of neutrons released per nucleus that go on
to fission another nucleus is referred to as k. Values of k larger than 1 mean
that the fission reaction is releasing more neutrons than it absorbs, and
therefore is referred to as a self-sustaining chain reaction. In this work, the
energy balance equations associated with nuclear technology are structured in
parametric form to form the basis of our Mathematical model solvable by the
Conjugate Gradient Method.
