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Archimedes number

 
Sci-Tech Dictionary: Archimedes number
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(¦är·kə¦mēd′ēz ′nəm·bər)

(fluid mechanics) One of a dimensionless group of numbers denoting the ratio of gravitational force to viscous force.

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Wikipedia: Archimedes number
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An Archimedes number (not to be confused with Archimedes' constant, π), named after the ancient Greek scientist Archimedes—used 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 • Atwood • Bagnold • Bejan • Biot • Bond • Brinkman • Capillary • Cauchy • Damköhler • Dean • Deborah • Eckert • Ekman • Eötvös • Euler • Froude • Galilei • Graetz • Grashof • ‎Görtler • Hagen • Keulegan–Carpenter • Knudsen • Laplace • Lewis • Mach • Marangoni • Morton • Nusselt • Ohnesorge • Péclet • Prandtl (magnetic, turbulent) • Rayleigh • Reynolds (magnetic) • Richardson • Roshko • Rossby • Rouse • Ruark • Schmidt • Sherwood • Stanton • Stokes • Strouhal • Suratman • Taylor • Ursell • Weber • Weissenberg • Womersley


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