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Archimedes number



An Archimedes number (not to be confused with Archimedes' constant, π), named after the ancient Greek scientist Archimedes, to determine the motion of fluids due to density differences, is a dimensionless number in the form:

{\rm Ar} = \frac{g L^3 \rho_\ell (\rho - \rho_\ell)}{\mu^2}

where:

  • g = gravitational acceleration (9.81 m/s²),
  • ρl = density of the fluid, kg / m3
  • ρ = density of the body, kg / m3
  • μ = dynamic viscosity, kg / sm
  • L = characteristic length of body, m

See also

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 "Archimedes_number". A list of authors is available in Wikipedia.
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