Geometric buckling from neutron flux¶
Geometric buckling can be found if the neutron flux density is known as a function of position. The smaller the reactor is, more “buckled” the curvature of the neutron flux is and the higher geometric buckling of the reactor is.
Links:
- Symbol:
x- Latex:
\(x\)
- Dimension:
length
- neutron_flux¶
neutron_fluxas a function ofposition
- Symbol:
Phi(x)- Latex:
\(\Phi{\left(x \right)}\)
- Dimension:
1/(area*time)
- geometric_buckling¶
- Symbol:
B_g^2- Latex:
\(B_\text{g}^2\)
- Dimension:
1/area
- neutron_flux_laplacian¶
Laplacian of the
neutron_fluxas a function ofposition.
- Symbol:
Laplace(Phi)(x)- Latex:
\(\nabla^{2} \Phi{\left(x \right)}\)
- Dimension:
1/(length**4*time)
- law¶
B_g^2 = -Laplace(Phi)(x) / Phi(x)- Latex:
- \[B_\text{g}^2 = - \frac{\nabla^{2} \Phi{\left(x \right)}}{\Phi{\left(x \right)}}\]