Part 11: Characteristic Numbers·115 entries

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11-8.18

Grashof magnetic number

URNurn:iso:std:iso:80000:-11:ed-2:en:item:11-8.18

https://metanorma.github.io/isq-smart/quantities/part-11/t11-8.18
urn:iso:std:iso:80000:-11:ed-2:en:item:11-8.18

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-11:ed-2:en:item:11-8.18

IEC

urn:iec:std:iec:80000-11:2019:::item:11-8.18

Designations

ENGrashof magnetic number

FRnombre de Grashof magnétique

Symbol

G r_{m}

Notation systems

Rendered

G r_{m}

AsciiMath

Gr_"m"

LaTeX

G r_{\text{m}}

Definition

mathematical expression for the heat transfer by free thermo-magnetic convection of a paramagnetic fluid under gravity,

$G r_{m} = 4 π σ_{e} μ_{e} g α_{V} Δ T l^{3} / v$ ; where

$σ_{e}$ :: is electrical conductivity (IEC 80000-6: Electromagnetism),

$μ_{e}$ :: is magnetic permeability (IEC 80000-6: Electromagnetism),

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

$α_{V}$ :: is cubic expansion coefficient (ISO 80000-5: Thermodynamics),

$Δ T = T_{S} - T_{\infty}$ :: is difference of thermodynamic temperature $T$ (ISO 80000-5: Thermodynamics), where $T_{S}$ is surface temperature and $T_{\infty}$ is bulk temperature,

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

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

expression mathématique pour le transfert de chaleur par convection thermomagnétique libre d'un fluide paramagnétique soumis à la pesanteur:

$G r_{m} = 4 π σ_{e} μ_{e} g α_{V} Δ T l^{3} / v$ ; où

$σ_{e}$ :: est la conductivité électrique (IEC 80000-6: Electromagnetism);

$μ_{e}$ :: est la perméabilité (IEC 80000-6: Electromagnetism);

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

$α_{V}$ :: est le coefficient de dilatation volumique (ISO 80000-5: Thermodynamics);

$Δ T = T_{S} - T_{\infty}$ :: est la différence de température thermodynamique $T$ (ISO 80000-5: Thermodynamics), où $T_{S}$ est la température de surface et $T_{\infty}$ est la température globale;

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

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

Notes

This number is also called magnetic Grashof number.

See also Grashof number (Grashof number).

Ce nombre est aussi appelé nombre magnétique de Grashof.

Voir aussi le nombre de Grashof (Grashof 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:t11-8.18

Properties

isq:QuantityShape

Property	Value
rdf:type	isq:Quantity smart:TermEntry
dcterms:identifier	11-8.18
skosxl:prefLabel	"Grashof magnetic number"@en
skosxl:altLabel	"Gr_"m""@en
skos:definition	mathematical expression for the heat transfer by free thermo-magnetic convection of a paramagnetic fluid under gravity, …
skos:note	This number is also called magnetic Grashof number. See also Grashof number (<<t11-4.4>>).
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