In fluid mechanics, the Bond number, notated Bo, is a dimensionless number expressing the ratio of body forces (often gravitational) to surface tension forces: Fluid mechanics is the subdiscipline of continuum mechanics that studies fluids, that is, liquids and gases. ... In dimensional analysis, a dimensionless number (or more precisely, a number with the dimensions of 1) is a pure number without any physical units. ... A body force is a force that acts on the volume of a body. ... Gravity is a force of attraction that acts between bodies that have mass. ... In physics, surface tension is an effect within the surface layer of a liquid that causes that layer to behave as an elastic sheet. ...
L the 'characteristic length scale', e.g. radius of a drop or the radius of a capillary tube,
σ the strength of the surface tension.
Sometimes the density scale used is the difference in density between the two phases, Δρ. In physics, density is mass m per unit volume V. For the common case of a homogeneous substance, it is expressed as: where, in SI units: Ï (rho) is the density of the substance, measured in kg·m-3 m is the mass of the substance, measured in kg V is... A body force is a force that acts on the volume of a body. ... Gravity is a force of attraction that acts between bodies that have mass. ...
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 than one is the requirement) indicates that surface tension dominates. Intermediate numbers indicate a non-trivial balance between the two effects.
See also
Eötvös number - The Bond number is equal to the Eötvös number.
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