The above derivation can be used when dealing with the Eötvös number, a dimensionless quantity that represents the ratio between the buoyancy forces and surface tension of the liquid. Despite being introduced by Loránd Eötvös in 1886, he has since become fairly dissociated with it, being replaced with Wilfrid Noel Bond such that it is now referred to as the Bond number in recent literature.
The Bond number can be written such that it includes a characteristic length- normally the radius of curvature of a liquid, and the capillary length
with parameters defined above, and  the radius of curvature.
Therefore the bond number can be written as
with  the capillary length.
If the bond number is set to 1, then the characteristic length is the capillary length