Neutron flux for uniform slab

Neutron flux for a reactor in the shape of an infinite slab of finite thickness depends on the orthogonal distance to the plane of symmetry inside the slab.

Links:

1. NuclearPower, see end of page.

dimension_factor

Dimension factor that appears as a coefficient in the solution to the differential equation. See neutron_flux.

Symbol:

Phi_0

Latex:

\(\Phi_{0}\)

Dimension:

1/(area*time)

distance

orthogonal_distance to the central plane of the slab.

Symbol:

z

Latex:

\(z\)

Dimension:

length

thickness

thickness of the slab.

Symbol:

h

Latex:

\(h\)

Dimension:

length

neutron_flux

neutron_flux at a distance from the central plane of the slab.

Symbol:

Phi

Latex:

\(\Phi\)

Dimension:

1/(area*time)

law

Phi = Phi_0 * cos(pi / h * z)

Latex:

\[\Phi = \Phi_{0} \cos{\left(\frac{\pi}{h} z \right)}\]