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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),
  • ρl = 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

Image:Mathapplied-stub ico.png This applied mathematics-related article is a stub. You can help Wikipedia by expanding it.
de:Archimedes-Zahl

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

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