Archimedes number

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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

[edit] See also


 v • d • e Dimensionless numbers in fluid dynamics
Archimedes • Bagnold • Bond • Brinkman • Capillary • Damköhler • Deborah • Eckert • Ekman • Euler • Froude • Galilei • Grashof • Hagen • Knudsen • Laplace • Lewis • Mach • Marangoni • Nusselt • Ohnesorge • Péclet • Prandtl • Rayleigh • Reynolds • Richardson • Rossby • Schmidt • Sherwood • Stanton • Stokes • Strouhal • Weber • Weissenberg • Womersley
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