Part 11: Characteristic Numbers·115 entries

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11-8.16

Lundquist number

URNurn:iso:std:iso:80000:-11:ed-2:en:item:11-8.16

https://metanorma.github.io/isq-smart/quantities/part-11/t11-8.16
urn:iso:std:iso:80000:-11:ed-2:en:item:11-8.16

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-11:ed-2:en:item:11-8.16

IEC

urn:iec:std:iec:80000-11:2019:::item:11-8.16

Designations

ENLundquist number

FRnombre de Lundquist

Symbol

L u

Notation systems

Rendered

L u

AsciiMath

Lu

LaTeX

L u

Definition

quotient of Alfvén speed and magneto-dynamic speed in a plasma, expressed by

$L u = B l σ \sqrt{\frac{μ}{ρ}}$ ; where

$B$ :: is magnetic flux density (IEC 80000-6: Electromagnetism),

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

$σ$ :: is electrical conductivity (IEC 80000-6: Electromagnetism),

$μ$ :: is magnetic permeability (IEC 80000-6: Electromagnetism), and

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

quotient de la vitesse d'Alfvén par la vitesse magnétodynamique dans un plasma, exprimé par

$L u = B l σ \sqrt{\frac{μ}{ρ}}$ ; où

$B$ :: est l'induction magnétique (IEC 80000-6: Electromagnetism),

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

$σ$ :: est la conductivité électrique (IEC 80000-6: Electromagnetism),

$μ$ :: est la perméabilité magnétique (IEC 80000-6: Electromagnetism), et

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

Notes

The quantity $v_{A} = B / \sqrt{ϕ μ}$ is called Alfvén wave speed. See Alfvén number.

The quantity $v_{m} = 1 / (l σ μ)$ is called magneto dynamic speed; where

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

$σ$ :: is electrical conductivity (IEC 80000-6: Electromagnetism), and

$μ$ :: is magnetic permeability (IEC 80000-6: Electromagnetism).

The Lundquist number is also given by

$L u = R m / A l$ ; where

$R m$ :: is the Reynolds magnetic number (Reynolds magnetic number), and

$A l$ :: is the Alfvén number (Alfvén number).

See also Hartmann number (Hartmann number).

La grandeur $v_{A} = B / \sqrt{ρ μ}$ est appelée vitesse des ondes d'Alfvén. Voir Alfvén number.

La grandeur $v_{m} = 1 / (l σ μ)$ est appelée vitesse magnétodynamique; où

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

$σ$ :: est la conductivité électrique (IEC 80000-6: Electromagnetism), et

$μ$ :: est la perméabilité magnétique (IEC 80000-6: Electromagnetism).

Le nombre de Lundquist est également donné par

$L u = R m / A l$ ; où

$R m$ :: est le nombre de Reynolds magnétique (Reynolds magnetic number), et

$A l$ :: est le nombre d'Alfvén (Alfvén number).

Voir aussi nombre de Hartmann (Hartmann number).

Concept HierarchyPendrill (2024)

1dimensionless quantitiesLevel 0 · Kind

Broader concepts

◇ dimensionless quantities

Characterizes

● wave

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:t11-8.16

Properties

isq:QuantityShape

Property	Value
rdf:type	isq:Quantity smart:TermEntry
dcterms:identifier	11-8.16
skosxl:prefLabel	"Lundquist number"@en
skosxl:altLabel	"Lu"@en
skos:definition	quotient of Alfvén speed and magneto-dynamic speed in a plasma, expressed by stem:[Lu = Bl sigma sqrt(mu/rho)]; where …
skos:note	The quantity stem:[v_"A" = B//sqrt(phi mu)] is called Alfvén wave speed. See <<t11-8.4>>. The quantity stem:[v_"m" = 1/…
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