Eötvös number

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In fluid dynamics the Eötvös number (Eo) is a dimensionless number named after Hungarian physicist Loránd Eötvös (1848-1919).

Together with Morton number it can be used to characterize the shape of a fluid sphere (air bubble, water drop...). Eötvös number may be regarded as proportional to buoyancy forces divided by surface tension forces.

<math>\mathrm{Eo}=\frac{\Delta\rho \,g \,L^2}{\sigma}</math>

• <math>\Delta\rho</math>: difference in density of the two phases, (SI units : kg/m³)
• <math>g</math>: gravitational acceleration, (SI units : m/s²)
• <math>L</math>: characteristic length, (SI units : m)
• <math>\sigma</math>: surface tension, (SI units : N/m)

[edit] See also

• Bond number - The Eötvös number is equal to the bond number. Usage of Eötvös number in favor of Bond number is seen in Europe.

[edit] References

R. Clift, J.R.Grace, M.E. Weber, Bubbles Drops and Particles, Academic Press New York, 1979, p.26

v • d • e Dimensionless numbers in fluid dynamics

Archimedes • Bagnold • Biot • Bond • Brinkman • Capillary • Damköhler • Dean • Deborah • Eckert • Ekman • Eötvös • Euler • Froude • Galilei • Grashof • Hagen • Knudsen • Laplace • Lewis • Mach • Magnetic Reynolds • Marangoni • Morton • Nusselt • Ohnesorge • Péclet • Prandtl • Rayleigh • Reynolds • Richardson • Roshko • Rossby• Ruark • Schmidt • Sherwood • Stanton • Stokes • Strouhal • Suratman • Taylor • Weber • Weissenberg • Womersley

de:Eötvös-Zahl

nl:Getal van Eötvös