Part 11: Characteristic Numbers·115 entries

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11-8.10

Prandtl magnetic number

URNurn:iso:std:iso:80000:-11:ed-2:en:item:11-8.10

https://metanorma.github.io/isq-smart/quantities/part-11/t11-8.10
urn:iso:std:iso:80000:-11:ed-2:en:item:11-8.10

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-11:ed-2:en:item:11-8.10

IEC

urn:iec:std:iec:80000-11:2019:::item:11-8.10

Designations

ENPrandtl magnetic number

FRnombre de Prandtl magnétique

Symbol

P r_{m}

Notation systems

Rendered

P r_{m}

AsciiMath

Pr_"m"

LaTeX

P r_{\text{m}}

Definition

quotient of kinematic viscosity and magnetic viscosity in an electrically conducting liquid, expressed by

$P r_{m} = v σ μ$ ; where

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

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

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

quotient de la viscosité cinématique par la viscosité magnétique dans un liquide conducteur de courant électrique, exprimé par

$P r_{m} = v σ μ$ ; où

$v$ :: est la viscosité cinématique (ISO 80000-4: Mechanics),

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

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

Notes

The quantity $v_{m} = 1 / (μ σ)$ is called magnetic viscosity or magnetic diffusivity. See Roberts number.

The Prandtl magnetic number is also given by

$P r_{m} = R m / R e$ ; where

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

$R e$ :: is the Reynolds number (Reynolds number).

This number is also called magnetic Prandtl number.

La grandeur $v_{m} = 1 / (μ σ)$ est appelée viscosité magnétique ou diffusivité magnétique. Voir Roberts number.

Le nombre de Prandtl magnétique est également donné par

$P r_{m} = R m / R e$ ; où

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

$R e$ :: est le nombre de Reynolds (Reynolds number).

Ce nombre est aussi appelé nombre magnétique de Prandtl.

Referenced by

Reynolds magnetic number

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:t11-8.10

Properties

isq:QuantityShape

Property	Value
rdf:type	isq:Quantity smart:TermEntry
dcterms:identifier	11-8.10
skosxl:prefLabel	"Prandtl magnetic number"@en
skosxl:altLabel	"Pr_"m""@en
skos:definition	quotient of kinematic viscosity and magnetic viscosity in an electrically conducting liquid, expressed by stem:[Pr_"m" …
skos:note	The quantity stem:[sf(ii(v))_"m" = 1//(mu sigma)] is called magnetic viscosity or magnetic diffusivity. See <<t11-8.11>>…
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