Gravity force to surface tension force non dimensional number
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Dimensionless numbers in fluid mechanicsare a set of dimensionless quantities that have an important role in the behaviour of fluids.
The classical numbers in transport phenomena of mass, momentum, and energyare principally analyzed by the ratio of effective diffusivities in each transport mechanism. The six dimensionless numbersgive the relative strengths of the different phenomena of inertia, viscosity, conductive heat transport, and mass transport. (In the table, the number is the ratio of the left column quantity over top row quantity; e.g. Re= vd/η.) These same quantities may alternatively be expressed as ratios of characteristic time, length, or energy scales; these are less commonly used but can provide insight into particular applications.Droplet formation mostly depends on momentum, viscosity and surface tension.In inkjet printing for example, an ink with a too high Ohnesorge number would not jet properly, and an ink with a too low Ohnesorge number would be jetted with many satellite drops
The classical numbers in transport phenomena of mass, momentum, and energyare principally analyzed by the ratio of effective diffusivities in each transport mechanism. The six dimensionless numbersgive the relative strengths of the different phenomena of inertia, viscosity, conductive heat transport, and mass transport. (In the table, the number is the ratio of the left column quantity over top row quantity; e.g. Re= vd/η.) These same quantities may alternatively be expressed as ratios of characteristic time, length, or energy scales; these are less commonly used but can provide insight into particular applications.Droplet formation mostly depends on momentum, viscosity and surface tension.In inkjet printing for example, an ink with a too high Ohnesorge number would not jet properly, and an ink with a too low Ohnesorge number would be jetted with many satellite drops
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