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:
- 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
- Symbol:
r_0
- Latex:
\(r_{0}\)
- Dimension:
length
- neutron_flux¶
neutron_flux
at aradial_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:
- \[\Phi = \Phi_{0} \frac{\sin{\left(\frac{\pi}{r_{0}} r \right)}}{r}\]