There are still several analyticalchallenges left in solving the diffusionequation. One, of course, is the 3-Dmultigroup heterogeneous mediumchallenge, which unfortunately willprobably remain a challenge for sometime to come. Until recently, the 1Dmultigroup heterogeneous medium casewas also a challenging problem. In Ref.1, however it was shown how a simpleconsistent solution could be constructedthat paralleled the single one-grouphomogeneous plane solution. It isreadily apparent that a similarformulation exits for the other two(curvilinear) geometries requiring onlyspecification of the appropriatehomogeneous solutions. In that initialpresentation, reference was made to anew “criticality” condition that resultedfrom the analytical solution of arecurrence relation on which the entireformulation revolved. Here, we willexamine that novel criticality conditionmore closely and apply it to a 1D BWRfuel plate reactor model.
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