Part 11: Characteristic Numbers·115 entries

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Section 11-442 entries

11-4.1Reynolds number 11-4.2Euler number 11-4.3Froude number 11-4.4Grashof number 11-4.5Weber number 11-4.6Mach number 11-4.7Knudsen number 11-4.8Strouhal number, Thomson number 11-4.9drag coefficient 11-4.10Bagnold number 11-4.11Bagnold number <solid particles>11-4.12lift coefficient 11-4.13thrust coefficient 11-4.14Dean number 11-4.15Bejan number 11-4.16Lagrange number 11-4.17Bingham number, plasticity number 11-4.18Hedström number 11-4.19Bodenstein number 11-4.20Rossby number, Kiebel number 11-4.21Ekman number 11-4.22elasticity number 11-4.23Darcy friction factor, Moody friction factor 11-4.24Fanning number 11-4.25Goertler number, Goertler parameter 11-4.26Hagen number 11-4.27Laval number 11-4.28Poiseuille number 11-4.29power number 11-4.30Richardson number 11-4.31Reech number 11-4.32Stokes number <time-related>11-4.33Stokes number <vibrating particles>11-4.34Stokes number <rotameter>, power coefficient <rotameter>11-4.35Stokes number <gravity>11-4.36Stokes number <drag>11-4.37Laplace number, Suratman number 11-4.38Blake number 11-4.39Sommerfeld number 11-4.40Taylor number <momentum transfer>11-4.41Galilei number 11-4.42Womersley number

11-4.4

Grashof number

URNurn:iso:std:iso:80000:-11:ed-2:en:item:11-4.4

Download RDF.jsonld .ttl

https://metanorma.github.io/isq-smart/quantities/part-11/t11-4.4
urn:iso:std:iso:80000:-11:ed-2:en:item:11-4.4

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-11:ed-2:en:item:11-4.4

IEC

urn:iec:std:iec:80000-11:2019:::item:11-4.4

Designations

ENGrashof number

FRnombre de Grashof

Symbol

G r

Notation systems

Rendered

G r

AsciiMath

Gr

LaTeX

G r

Definition

quotient of buoyancy forces due to thermal expansion which results in a change of mass density and viscous forces for free convection due to temperature differences, expressed by

$G r = l^{3} g α_{V} Δ T / v^{2}$ ; where

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

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

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

$Δ T$ :: is difference of thermodynamic temperature $T$ (ISO 80000-5: Thermodynamics) between surface of the body and the fluid far away from the body, and

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

quotient de la poussée d'Archimède due à la dilatation thermique se traduisant par une variation de la masse volumique, par les forces visqueuses dans le contexte d'une convection libre due aux différences de température, exprimé par:

$G r = l^{3} g α_{V} Δ T / v^{2}$ ; 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);

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

$Δ T$ :: est la différence de température thermodynamique $T$ (ISO 80000-5: Thermodynamics) entre la surface du corps et le fluide à distance du corps; et

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

Notes

Heating can occur near hot vertical walls, in pipes, or by a bluff body.

The characteristic length can be the vertical height of a hot plate, the diameter of a pipe, or the effective length of a body.

See also Rayleigh number (Rayleigh number).

Un échauffement peut se produire dans les tubes au voisinage de parois verticales chaudes, ou en raison d'un corps non profilé.

La longueur caractéristique peut être la hauteur verticale d'une plaque chaude, le diamètre d'un tube ou la longueur effective d'un corps.

Voir aussi le nombre de Rayleigh (Rayleigh number).

Referenced by

Hagen number Rayleigh number Grashof number <mass transfer>Grashof 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:t11-4.4

Properties

isq:QuantityShape

Property	Value
rdf:type	isq:Quantity smart:TermEntry
dcterms:identifier	11-4.4
skosxl:prefLabel	"Grashof number"@en
skosxl:altLabel	"Gr"@en
skos:definition	quotient of buoyancy forces due to thermal expansion which results in a change of mass density and viscous forces for fr…
skos:note	Heating can occur near hot vertical walls, in pipes, or by a bluff body. The characteristic length can be the vertical …
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