Archimedes Number
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
{\rm Ar} = \frac{g L^3 \rho_\ell (\rho - \rho_\ell)}{\mu^2}
where:
g
=
gravitational
acceleration
(9.81
m
/
s
²),
ρ
l
= density of the fluid,
ρ = density of the body,
μ = fluid absolute
viscosity
.
See also
Fluid dynamics
pi
is also know as
Archimedes constant
.
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