Part 11: Characteristic Numbers·115 entries

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Section 11-710 entries

11-7.1Prandtl number 11-7.2Schmidt number, DEPRECATED: Colburn number 11-7.3Lewis number 11-7.4Ohnesorge number 11-7.5Cauchy number, aeroelasticity parameter 11-7.6Hooke number 11-7.7Weissenberg number 11-7.8Deborah number 11-7.9Lorentz number 11-7.10compressibility number

11-7.1

Prandtl number

URNurn:iso:std:iso:80000:-11:ed-2:en:item:11-7.1

Download RDF.jsonld .ttl

https://metanorma.github.io/isq-smart/quantities/part-11/t11-7.1
urn:iso:std:iso:80000:-11:ed-2:en:item:11-7.1

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-11:ed-2:en:item:11-7.1

IEC

urn:iec:std:iec:80000-11:2019:::item:11-7.1

Designations

ENPrandtl number

FRnombre de Prandtl

Symbol

P r

Notation systems

Rendered

P r

AsciiMath

Pr

LaTeX

P r

Definition

quotient of kinematic viscosity and thermal diffusivity for a fluid, expressed by

$P r = v / a$ ; where

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

$a$ :: is thermal diffusivity (ISO 80000-5: Thermodynamics)

quotient de la viscosité cinématique par la diffusivité thermique pour un fluide, exprimé par:

$P r = v / a$ ; où

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

$a$ :: est la diffusivité thermique (ISO 80000-5: Thermodynamics)

Notes

The Prandtl number also represents the quotient of heat produced by viscosity and heat transferred by thermal diffusivity.

The mass transfer analogue of the Prandtl number is the Schmidt number (Schmidt number).

The Prandtl number is also given by

$P r = P e / R e$ ; where

$P e$ :: is the Péclet number (Péclet number <heat transfer>), and

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

Le nombre de Prandtl représente nombre aussi le quotient de la chaleur produite par viscosité par la chaleur transférée par diffusivité thermique.

L'analogue en transfert de masse du nombre de Prandtl est le nombre de Schmidt (Schmidt number).

Le nombre de Prandtl est également donné par:

$P r = P e / R e$ ; où

$P e$ :: est le nombre de Péclet (Péclet number <heat transfer>); et

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

Referenced by

Péclet number <heat transfer>Rayleigh number Stanton number <heat transfer>stem:[j]-factor <heat transfer>Schmidt number Lewis 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:t11-7.1

Properties

isq:QuantityShape

Property	Value
rdf:type	isq:Quantity smart:TermEntry
dcterms:identifier	11-7.1
skosxl:prefLabel	"Prandtl number"@en
skosxl:altLabel	"Pr"@en
skos:definition	quotient of kinematic viscosity and thermal diffusivity for a fluid, expressed by stem:[Pr = sf(ii(v))//a]; where stem…
skos:note	The Prandtl number also represents the quotient of heat produced by viscosity and heat transferred by thermal diffusivit…
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