Part 11: Characteristic Numbers·115 entries

40 / 115

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

11-4.40

Taylor number

URNurn:iso:std:iso:80000:-11:ed-2:en:item:11-4.40

Download RDF.jsonld .ttl

https://metanorma.github.io/isq-smart/quantities/part-11/t11-4.40
urn:iso:std:iso:80000:-11:ed-2:en:item:11-4.40

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-11:ed-2:en:item:11-4.40

IEC

urn:iec:std:iec:80000-11:2019:::item:11-4.40

Designations

ENTaylor number

FRnombre de Taylor

Symbol

T a

Notation systems

Rendered

T a

AsciiMath

Ta

LaTeX

T a

Definition

relation between centrifugal force and viscous force of a rotating shaft, expressed by

$T a = 4 ω^{2} l^{4} / v^{2}$ ; where

$ω$ :: is angular velocity (ISO 80000-3: Space and time) of rotation,

$l$ :: is length (ISO 80000-3: Space and time) perpendicular to the rotation axis, and

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

relation entre la force centrifuge et la force visqueuse d'un arbre en rotation, exprimée par:

$T a = 4 ω^{2} l^{4} / v^{2}$ ; où

$ω$ :: est la vitesse angulaire (ISO 80000-3: Space and time) de rotation;

$l$ :: est la longueur (ISO 80000-3: Space and time) perpendiculairement à l'axe de rotation; et

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

Notes

Sometimes the square root of this quantity is wrongly used.

The Taylor number for a rotating shaft relative to an annulus is given by

$T a_{a} = {(ω / v)}^{2} r a^{3}$ ; where

$ω$ :: is angular velocity (ISO 80000-3: Space and time) of the shaft,

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

$r = (r_{2} + r_{1}) / 2$ :: is mean radius (ISO 80000-3: Space and time) of the annulus, and

$a = (r_{2} - r_{1})$ :: is width of the annulus, where

$r_{1}$ ::: is inner radius of the annulus, and

$r_{2}$ ::: is outer radius of the annulus.

Sometimes the square root of this quantity is used; this use is deprecated.

Parfois, la racine carrée de cette grandeur est utilisée à tort.

Le nombre de Taylor d'un arbre en rotation par rapport à un espace annulaire est donné par:

$T a_{a} = {(ω / v)}^{2} r a^{3}$ ; où

$ω$ :: est la vitesse angulaire (ISO 80000-3: Space and time) de l'arbre;

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

$r = (r_{2} + r_{1}) / 2$ :: est le rayon (ISO 80000-3: Space and time) moyen de l'espace annulaire; et

$a = (r_{2} - r_{1})$ :: est la largeur de l'espace annulaire, où

$r_{1}$ ::: est le rayon intérieur de l'espace annulaire; et

$r_{2}$ ::: est le rayon extérieur de l'espace annulaire.

Parfois, la racine carrée de cette grandeur est utilisée; cet usage est déconseillé.

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:t11-4.40

Properties

isq:QuantityShape

Property	Value
rdf:type	isq:Quantity smart:TermEntry
dcterms:identifier	11-4.40
skosxl:prefLabel	"Taylor number <momentum transfer>"@en
skosxl:altLabel	"Ta"@en
skos:definition	relation between centrifugal force and viscous force of a rotating shaft, expressed by stem:[Ta = 4 omega^2 l^4 // sf(i…
skos:note	Sometimes the square root of this quantity is wrongly used. The Taylor number for a rotating shaft relative to an annul…
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