Archimedes Number (Ar) and its physical significance and application(rato of)

Archimedes Number (Ar)

This represents the ratio of buoyancy and inertial forces


Formula:

where:

• g = gravitational acceleration (9.81 m/s²),

• ρl = density of the fluid, kg / m3

• ρ = density of the body, kg / m3

• μ = dynamic viscosity, kg / sm

• L = characteristic length of body, m

Application:

Used when dealing with Gravitational settling of particle in fluid

Physical significance:

This represents the ratio of buoyancy and inertial forces, which stands in for the contribution of natural convection. When Ar >> 1, natural convection dominates and when Ar << 1, forced convection dominates.

When analyzing potentially mixed convection of a liquid, the Archimedes number parametrizes the relative strength of free and forced convection by representing the ratio of Grashof number and the square of Reynolds number.


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