Neutron flux for uniform sphere

Neutron flux for uniform sphere is a function of radial_distance \(r\) to the center of the sphere and depends on the radius \(r_0\) of the sphere.

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)

radial_distance

Radial distance, or distance_to_origin of coordinate system, i.e. the center of the sphere.

Symbol:

r

Latex:

\(r\)

Dimension:

length

radius

radius of the sphere.

Symbol:

r_0

Latex:

\(r_{0}\)

Dimension:

length

neutron_flux

neutron_flux at a radial_distance from the center of the sphere.

Symbol:

Phi

Latex:

\(\Phi\)

Dimension:

1/(area*time)

law

Phi = Phi_0 * sin(pi / r_0 * r) / r

Latex:
\[\Phi = \Phi_{0} \frac{\sin{\left(\frac{\pi}{r_{0}} r \right)}}{r}\]