Infinite neutron plane source in the vicinity of slab

[aser]

hello
I solve neutron diff eq for plane source in the vicinity of slab of water but if i substitute source term with 1 the flux in some places is greater than one! how it possible?! i am sure about my calculation so someone say me how it possible?

 

[Astronuc]

hello
I solve neutron diff eq for plane source in the vicinity of slab of water but if i substitute source term with 1 the flux in some places is greater than one! how it possible?! i am sure about my calculation so someone say me how it possible?

If one has a flux gradient, then the average value will be between the high and low values. For example, on a line between 0 and 1, the average value is 0.5. If one is an average value, then the low could be 0.9, while the maximum would be 1.1.