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Eötvös number



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.

\mathrm{Eo}=\frac{\Delta\rho \,g \,L^2}{\sigma}
  • Δρ: difference in density of the two phases, (SI units : kg/m3)
  • g: gravitational acceleration, (SI units : m/s2)
  • L: characteristic length, (SI units : m)
  • σ: surface tension, (SI units : N/m)

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.

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
 
This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Eötvös_number". A list of authors is available in Wikipedia.
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