Lecture 18
Reactor Theory-III
 

Spherical Reactor

  • Let us now consider an infinite spherical reactor as shown
  • As done previously, we can write the governing equation as

Note that we have replaced Bm with B.
  • For the spherically symmetric case, the simplified equation shall be

  • As done previously in our lecture on flux distribution from a point source, we can introduce the transformation φ =ψ/r.

For r > 0 it has the same form as for the Cartesian system.