Lecture 21

Reactor Theory-VI

 
  • We can rewrite the above equation as
  • The last term is generally negligible, and hence B can be found explicitly.
  • Once B is known, we can use the Table for B and obtain the size.
  • In case of spherical reactor, R can be obtained directly. However, if it is a cylindrical reactor, we can obtain the Height or Radius, if the ratio of H/R is assumed.
  • Another class of problem is to obtain the material composition for a given geometry.
  • For such cases, the procedure followed is outlined.
  • The minimum mass of fuel required to make a reactor critical is called Critical Mass.
  • For such computations we assume that the reactor is made of fuel and moderator only.
  • Let .
  • As the fuel is specified, η, can be computed as described earlier using the fuel property data.
  • Similarly Lmod, τMod can be obtained from the Moderator property data.
  • As described earlier, the value of ε and p will be assumed to be known.
  • f  can be written as
  • As described earlier
  • As the geometry is known, the value of B can be estimated using the expressions summarized.
  • Thus the critticality equation can be written as
  • The only unknown in the above equation is R and it can be estimated.
  • As     , we can now compute the value of .