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:

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

where:

• g = gravitational acceleration (9.81 m/s²),
• ρ_l = density of the fluid, <math>kg/m^3</math>
• ρ = density of the body, <math>kg/m^3</math>
• μ = dynamic viscosity, <math>kg/sm</math>
• L = characteristic length of body, m

[edit] See also

• Fluid dynamics

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:Archimedes-Zahl

es:Número de Arquímedes fr:Nombre d'Archimède it:Numero di Archimede nl:Getal van Archimedes pl:Liczba Archimedesa sr:Архимедов број