Part 11: Characteristic Numbers·115 entries

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11-6.12

Archimedes number

URNurn:iso:std:iso:80000:-11:ed-2:en:item:11-6.12

https://metanorma.github.io/isq-smart/quantities/part-11/t11-6.12
urn:iso:std:iso:80000:-11:ed-2:en:item:11-6.12

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-11:ed-2:en:item:11-6.12

IEC

urn:iec:std:iec:80000-11:2019:::item:11-6.12

Designations

ENArchimedes number

FRnombre d'Archimède

Symbol

A r

Notation systems

Rendered

A r

AsciiMath

Ar

LaTeX

A r

Definition

quotient of buoyancy forces and viscous forces in fluids motion due to density differences for a body in a fluid, expressed by

$A r = \frac{g l^{3}}{v^{2}} (\frac{ρ_{b}}{ρ} - 1)$ ; where

$g$ :: is acceleration of free fall (ISO 80000-3: Space and time),

$l$ :: is characteristic length (ISO 80000-3: Space and time) of the body,

$v$ :: is kinematic viscosity (ISO 80000-4: Mechanics) of the fluid,

$ρ_{b}$ :: is mass density (ISO 80000-4: Mechanics) of the body, and

$ρ$ :: is mass density (ISO 80000-4: Mechanics) of the fluid

quotient de la poussée d'Archimède par les forces visqueuses dans le contexte du mouvement de fluides dû à des différences de masse volumique pour un corps dans un fluide, exprimé par:

$A r = \frac{g l^{3}}{v^{2}} (\frac{ρ_{b}}{ρ} - 1)$ ; où

$g$ :: est l'accélération due à la pesanteur (ISO 80000-3: Space and time);

$l$ :: est la longueur caractéristique (ISO 80000-3: Space and time) du corps;

$v$ :: est la viscosité cinématique (ISO 80000-4: Mechanics) du fluide;

$ρ_{b}$ :: est la masse volumique (ISO 80000-4: Mechanics) du corps; et

$ρ$ :: est la masse volumique (ISO 80000-4: Mechanics) du fluide

Notes

In this definition, the body can be replaced by an immiscible fluid.

See also Stokes number (Stokes number <rotameter>).

Dans cette définition, le corps peut être remplacé par un fluide non miscible.

Voir aussi le nombre de Stokes (Stokes number <rotameter>).

Referenced by

Stokes number <rotameter>

Concept HierarchyPendrill (2024)

1dimensionless quantitiesLevel 0 · Kind

Broader concepts

◇ dimensionless quantities

Ontology
isq:Quantity smart:TermEntry

Class Hierarchy

smart:Entity smart:TermEntryisq:Quantity

A physical quantity as defined in ISO/IEC 80000, with associated symbols, definitions, and units of measurement.

Instance IRI

isq:t11-6.12

Properties

isq:QuantityShape

Property	Value
rdf:type	isq:Quantity smart:TermEntry
dcterms:identifier	11-6.12
skosxl:prefLabel	"Archimedes number"@en
skosxl:altLabel	"Ar"@en
skos:definition	quotient of buoyancy forces and viscous forces in fluids motion due to density differences for a body in a fluid, expres…
skos:note	In this definition, the body can be replaced by an immiscible fluid. See also Stokes number <rotameter> (<<t11-4.34>>).…
isq:hasDimension	isq:Dimension
smart:hasBindingnessType	bindingness-type:normative
dcterms:isPartOf	isq:part-11

Related Entities

isq:QuantityShape isq:part-11 isq:Unit isq:Dimension isq:hasDimension smart:TermEntry