# Archimedes number

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## Archimedes number

[¦är·kə¦mēd‚ēz ′nəm·bər]
(fluid mechanics)
One of a dimensionless group of numbers denoting the ratio of gravitational force to viscous force.
References in periodicals archive ?
Archimedes Number (Ar), a non-dimensional parameter, is a ratio of the buoyancy force and the inertial force of the downward air jet.
However, such acceleration of centerline velocity or associated Archimedes Number particulates flow path, does not provide any insights into the flow path of the particulates.
The similarity principle shows that any nondimensional velocity in the room can be given as a unique function of the Archimedes number, Ar, if the flow in the room is a fully developed turbulent flow (high Reynolds number flow) (see Tahti and Goodfellow [2001]).
NOMENCLATURE Ar Archimedes number [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] D column diameter at top of reactor section (m) [d.
g],-- 701 Froude number, Fr,-- 485 Archimedes number, Ar,-- 174 Solids-to-gas mass flow ratio, 10.
The Archimedes number (Ar) is the preferred parameter to use in estimating the relative importance of the buoyancy in the CFD simulations (Fluent 2005).
An Archimedes number of order 1, Ar ~ O (1), indicates that the buoyancy and inertia forces are of the same order of magnitude and that both of them must be taken into account in numerical simulations.
If it is assumed that the flow in the room is a fully developed turbulent flow, it is possible to express the personal exposure index as a single-value function of the Archimedes number Ar without considering the Reynolds numbers involved.
In practice, it is necessary to use a high flow rate to obtain a low level of the concentration in the room, and this situation corresponds to the low Archimedes number in the graph.
The similarity principles show that any dimensionless velocity in the room can be given as a unique function of the Archimedes number if flow in the room is fully developed turbulent (high Reynolds number flow); see Tahti and Good-fellow (2001).
The room inlet Archimedes number (Ar), defined in Equation 1, is the ratio of thermal buoyancy force to inertial force.
The principles of similarity show that any dimensionless velocity in the room can be given as a unique function of the Archimedes number if the flow in the room is a fully developed turbulent flow (high Reynolds number flow) (see Tahti and Goodfellow [2001]).
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