Archimedes number

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on

Jul 24, 2020, 6:28:07 PM

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Aug 10, 2016, 1:00:22 PM

A r = \frac{g \cdot L^{3} \cdot ρ_{l} (ρ - ρ_{l})}{μ^{2}}

$Ar = ( g * L ^3* rho_l ( rho - rho_l ))/ mu ^2$

(g) local external field

$(g)"local external field"$

(L) characteristic length of body

$(L)"characteristic length of body"$

(ρ_{l}) density of the fluid

$(rho_l)"density of the fluid"$

(ρ) density of the body

$(rho)"density of the body"$

(μ) dynamic viscosity

$(mu)"dynamic viscosity"$

The Math / Science

The Archimedes number is used to determine the motion of fluids due to density differences. It is a dimensionless number defined as a ratio of external forces to internal viscous forces. The formula for Achimedes Number is:

$A r = \frac{g \cdot L^{3} \cdot ρ_{l} (ρ - ρ_{l})}{μ^{2}}$ $Ar=(g*L^3*rho_l(rho-rho_l))/mu^2$

where:

Ar = Archimedes Number
g = local external field such as acceleration due to gravity (g).
L = characteristic length of body
$ρ_{l}$ $rho_l$ = density of the fluid
$ρ$ $rho$ = density of the body
$μ$ $mu$ = dynamic viscosity

References

Wikipedia (https://en.wikipedia.org/wiki/Archimedes_number)

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Archimedes number

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