Dimensionless groups Bond number

In Eq. (48), y is the coefficient of surface tension, g is gravitational acceleration and Apm is the difference in mass densities between the aqueous and organic liquids. The interface position z = (r) and the deflection t(r) = — of the interface from its unperturbed position are shown schematically in Fig. 6. Nondimensionalization of Eq. (48) leads to two dimensionless groups that relate electrostatic and gravitational stresses to surface tension. These groups are called the electrostatic and gravitational bond numbers, and are given by [25]... 

The capillary forces which cause trapping or resist mobilization can be overcome by viscous pressure gradient or buoyancy forces. The ratios of gravity to capillary forces and viscous to capillary forces are expressed as dimensionless groups, known respectively as the Bond number (Ng), and capillary number (N ). 

A similar technique can be used to grow crystals without wall contact by melting a narrow zone in the solid that can be contained by the surface tension of the melt. A dimensionless group called the Bond number relates the hydrostatic pressure in the floating zone to the capillary or surface tension pressure containing the melt. The Bond number Bo is defined as... 

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