Bond number

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In fluid mechanics, the Bond number, notated Bo, is a dimensionless number expressing the ratio of body forces (often gravitational) to surface tension forces:

{\rm Bo} = \frac{\rho a r^2}{\sigma}

where ρ is the density, a the acceleration associated with the body force, r a representative length scale (typically the radius of a drop or the radius of a capillary tube), and σ the strength of the surface tension. Sometimes the density scale used is the difference in density between the two phases.

The Bond number is a measure of the importance of surface tension forces compared to body forces. A high Bond number indicates that the system is relatively unaffected by surface tension effects; a low number (typically less then one is the requirement) indicates that surface tension dominates. Intermediate numbers indicated a non-trivial balance between the two effects.

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