Part 11: Characteristic Numbers·115 entries

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11-6.14

Marangoni number

URNurn:iso:std:iso:80000:-11:ed-2:en:item:11-6.14

https://metanorma.github.io/isq-smart/quantities/part-11/t11-6.14
urn:iso:std:iso:80000:-11:ed-2:en:item:11-6.14

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-11:ed-2:en:item:11-6.14

IEC

urn:iec:std:iec:80000-11:2019:::item:11-6.14

Designations

ENMarangoni number

FRnombre de Marangoni

Symbol

M g

M a r

Notation systems

Rendered

M g

Rendered

M a r

AsciiMath

Mg

AsciiMath

Mar

LaTeX

M g

LaTeX

M a r

Definition

quotient of heat transferred by Marangoni convection and heat transferred by thermal diffusivity in thermo-capillary convection of liquid films on a free surface, expressed by

$M g = l \frac{Δ T}{η a} (\frac{d γ}{d T})$ ; where

$l$ :: is characteristic thickness (ISO 80000-3: Space and time) of the film,

$Δ T$ :: is difference of thermodynamic temperature $T$ (ISO 80000-5: Thermodynamics) between surface and outer surface of the film,

$η$ :: is dynamic viscosity (ISO 80000-4: Mechanics) of the liquid,

$a$ :: is thermal diffusivity (ISO 80000-5: Thermodynamics) of the liquid, and

$γ$ :: is surface tension (ISO 80000-4: Mechanics) of the film

quotient de la chaleur transférée par convection de Marangoni par la chaleur transférée par diffusivité thermique dans le contexte d'une convection thermo-capillaire de films liquides sur une surface libre, exprimé par:

$M g = l \frac{Δ T}{η a} (\frac{d γ}{d T})$ ; où

$l$ :: est une épaisseur caractéristique (ISO 80000-3: Space and time) du film;

$Δ T$ :: est la différence de température thermodynamique $T$ (ISO 80000-5: Thermodynamics) entre la surface et la surface extérieure du film;

$η$ :: est la viscosité dynamique (ISO 80000-4: Mechanics) du liquide;

$a$ :: est la diffusivité thermique (ISO 80000-5: Thermodynamics) du liquide; et

$γ$ :: est la tension superficielle (ISO 80000-4: Mechanics) du film

Notes

The Marangoni convection is free surface flow due to different surface tensions caused by a temperature gradient.

This quantity is sometimes called Thompson number.

La convection de Marangoni est un écoulement à surface libre dû à des tensions superficielles différentes provoquées par un gradient de température.

Cette grandeur est parfois appelée nombre de Thompson.

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:t11-6.14

Properties

isq:QuantityShape

Property	Value
rdf:type	isq:Quantity smart:TermEntry
dcterms:identifier	11-6.14
skosxl:prefLabel	"Marangoni number"@en
skosxl:altLabel	"Mg"@en"Mar"@en
skos:definition	quotient of heat transferred by Marangoni convection and heat transferred by thermal diffusivity in thermo-capillary con…
skos:note	The Marangoni convection is free surface flow due to different surface tensions caused by a temperature gradient. This …
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