Geometric buckling for uniform parallelepiped

Geometric buckling of a uniform parallelepiped reactor is a function of its side lengths \(a, b, c\).

Notes:

1. Also see Geometric buckling from neutron flux.

Links:

1. Wikipedia, third row in first table.

length

length of the first side of the parallelepiped.

Symbol:

l_1

Latex:

\(l_{1}\)

Dimension:

length

width

length of the second side of the parallelepiped.

Symbol:

l_2

Latex:

\(l_{2}\)

Dimension:

length

height

length of the third side of the parallelepiped.

Symbol:

l_3

Latex:

\(l_{3}\)

Dimension:

length

geometric_buckling

geometric_buckling.

Symbol:

B_g^2

Latex:

\(B_\text{g}^2\)

Dimension:

1/area

law

B_g^2 = (pi / l_1)^2 + (pi / l_2)^2 + (pi / l_3)^2

Latex:

\[B_\text{g}^2 = \left(\frac{\pi}{l_{1}}\right)^{2} + \left(\frac{\pi}{l_{2}}\right)^{2} + \left(\frac{\pi}{l_{3}}\right)^{2}\]