Part 11: Characteristic Numbers·115 entries

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11-6.3

Grashof number

URNurn:iso:std:iso:80000:-11:ed-2:en:item:11-6.3

https://metanorma.github.io/isq-smart/quantities/part-11/t11-6.3
urn:iso:std:iso:80000:-11:ed-2:en:item:11-6.3

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-11:ed-2:en:item:11-6.3

IEC

urn:iec:std:iec:80000-11:2019:::item:11-6.3

Designations

ENGrashof number

FRnombre de Grashof

Symbol

G r *

Notation systems

Rendered

G r *

AsciiMath

Gr**

LaTeX

G r \ast

Definition

relation between buoyancy forces and viscous forces in natural convection of fluids, expressed by

$G r * = l^{3} g β Δ x / v^{2}$ ; where

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

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

$β = - (1 / ρ) {(\partial ρ / \partial x)}_{T, p}$ , where::

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

$x$ ::: is amount-of-substance fraction (ISO 80000-9: Physical chemistry and molecular physics),

$Δ x$ :: is difference of amount-of-substance fraction (ISO 80000-9: Physical chemistry and molecular physics) along length $l$ , and

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

relation entre la poussée d'Archimède et les forces visqueuses dans le contexte de la convection naturelle des fluides, exprimée par:

$G r * = l^{3} g β Δ x / v^{2}$ ; où

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

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

$β = - (1 / ρ) {(\partial ρ / \partial x)}_{T, p}$ , où::

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

$x$ ::: est la fraction de quantité de matière (ISO 80000-9: Physical chemistry and molecular physics);

$Δ x$ :: est la différence de fraction de quantité de matière (ISO 80000-9: Physical chemistry and molecular physics) sur la longueur $l$ ; et

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

Notes

Instead of "amount-of-substance fraction" the "amount-of-substance concentration" (ISO 80000-9: Physical chemistry and molecular physics) is used also.

Compare with Grashof number, the Grashof number.

Au lieu de la «fraction de quantité de matière», la «concentration en quantité de matière» (ISO 80000-9: Physical chemistry and molecular physics) est également utilisée.

Comparer avec Grashof number, nombre de Grashof.

Concept HierarchyPendrill (2024)

1dimensionless quantitiesLevel 0 · Kind

Broader concepts

◇ dimensionless quantities

Characterizes

● substance

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:t11-6.3

Properties

isq:QuantityShape

Property	Value
rdf:type	isq:Quantity smart:TermEntry
dcterms:identifier	11-6.3
skosxl:prefLabel	"Grashof number <mass transfer>"@en
skosxl:altLabel	"Gr**"@en
skos:definition	relation between buoyancy forces and viscous forces in natural convection of fluids, expressed by stem:[Gr** = l^3 g be…
skos:note	Instead of "amount-of-substance fraction" the "amount-of-substance concentration" (<<iso80000-9>>) is used also. Compar…
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