∑k : Sum of friction coefficients in the considered cross-flooding arrangement.
S (m
2 ) : Cross-section area of the cross-flooding pipe or duct. If the
cross-section area is not circular, then:
where:
A = actual cross-section area
p = actual cross-section perimeter
θ
0 (°) : Angle before commencement of cross-flooding. This assumes that the
cross-flooding device is fully flooded but that no water has entered into the equalizing
compartment on the opposite side of the damage (see appendix 1).
θf
(°) : Heel angle at final equilibrium ( θ
f
≤ θ).
θ (°) : Any angle of heel between the commencement of cross-flooding and the final
equilibrium at a given time.
Wf
(m3) : Volume of water which is used to bring the ship from commencement of
cross-flooding θ
0 to final equilibrium θf
.
Wθ
(m3) : Volume of water which is used to bring the ship from any angle of
heel θ to the final equilibrium θf
.
H
0 (m) : Head of water before commencement of cross-flooding, with the same
assumption as for θ
0 .
Hθ
(m) : Head of water when any angle of heel θ is achieved.
hf
(m) : Final head of water after cross-flooding (hf
= 0, when the level inside the equalizing compartment is equal to the free level of
the sea).