Geometric buckling for uniform cylinder

Geometric buckling of a uniform cylindrical reactor is a function of its radius \(r\) and height \(h\).

Notes:

1. Also see Geometric buckling from neutron flux.

Links:

1. Wikipedia, second row in first table.

radius

radius of the cylinder.

Symbol:

r

Latex:

\(r\)

Dimension:

length

height

height of the cylinder.

Symbol:

h

Latex:

\(h\)

Dimension:

length

geometric_buckling

geometric_buckling.

Symbol:

B_g^2

Latex:

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

Dimension:

1/area

law

B_g^2 = (2.405 / r)^2 + (pi / h)^2

Latex:

\[B_\text{g}^2 = \left(\frac{2.405}{r}\right)^{2} + \left(\frac{\pi}{h}\right)^{2}\]