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Ohnesorge number

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Ohnesorge number

The Ohnesorge number (Oh) is a

  1. ^ a b McKinley, Gareth H.; Renardy, Michael (2011). "Wolfgang von Ohnesorge".  
  2. ^ Lefebvre, Arthur Henry (1989). Atomization and Sprays. New York and Washington, D.C.: Hemisphere Publishing Corp.  
  3. ^ Ohnesorge, W (1936). "Formation of drops by nozzles and the breakup of liquid jets".  
  4. ^ Derby, Brian (2010). "Inkjet Printing of Functional and Structural Materials: Fluid Property Requirements, Feature Stability, and Resolution". Annual Review of Materials Research 40 (1): 395–414.  


  • Laplace number.

See also

[4][1] In

This is often used to relate to free surface fluid dynamics such as dispersion of liquids in gases and in spray technology.[2][3]

The Ohnesorge number for a 3 mm diameter rain drop is typically ~0.002. Larger Ohnesorge numbers indicate a greater influence of the viscosity.


  • μ is the liquid viscosity
  • ρ is the liquid density
  • σ is the surface tension
  • L is the characteristic length scale (typically drop diameter)
  • Re is the Reynolds number
  • We is the Weber number


\mathrm{Oh} = \frac{ \mu}{ \sqrt{\rho \sigma L }} = \frac{\sqrt{\mathrm{We}}}{\mathrm{Re}} \sim \frac{\mbox{viscous forces}}{\sqrt \cdot {\mbox{surface tension}}}}

It is defined as:


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