Archimedes number
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An Archimedes number, 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,
- ρ = density of the body,
- μ = fluid absolute viscosity.
See also
Fluid dynamics
pi is also know as Archimedes constant.