ISO 80000-11:2008

Quantities and units — Part 11: Characteristic numbers

ISO 80000-11:2008 gives the names, symbols and definitions for characteristic numbers used in the description of transport phenomena.

Grandeurs et unités — Partie 11: Nombres caractéristiques

L'ISO 80000-11:2008 donne les noms, les symboles et les définitions des nombres caractéristiques utilisés dans la description des phénomènes de transfert.

Veličine in enote - 11. del: Značilna števila

Standard ISO 80000-11 podaja imena, simbole in definicije značilnih števil, ki se uporabljajo za opisovanje prenosnih pojavov.

General Information

• Status: Withdrawn
• Publication Date: 02-Dec-2008
• Withdrawal Date: 02-Dec-2008
• ICS: 01.060 - Quantities and units
• Technical Committee: ISO/TC 12 - Quantities and units
• Drafting Committee: ISO/TC 12 - Quantities and units
• Current Stage: 9599 - Withdrawal of International Standard
• Completion Date: 22-Oct-2019
• Ref Project: SIST ISO 80000-11:2013 - Quantities and units - Part 11: Characteristic numbers

Relations

• Revised: ISO 80000-11:2019 - Quantities and units — Part 11: Characteristic numbers
• Effective Date: 28-Sep-2013
• Revises: ISO 31-12:1992 - Quantities and units — Part 12: Characteristic numbers
• Effective Date: 15-Apr-2008
• Revises: ISO 31-12:1992/Amd 1:1998 - Quantities and units — Part 12: Characteristic numbers — Amendment 1
• Effective Date: 15-Apr-2008
• Consolidated By: ISO 11608-3:2012 - Needle-based injection systems for medical use — Requirements and test methods — Part 3: Finished containers
• Effective Date: 06-Jun-2022

Standards Content (Sample)

SLOVENSKI STANDARD
SIST ISO 80000-11:2013
01-maj-2013
1DGRPHãþD
SIST ISO 31-12:1995/Amd. 1:2001
SIST ISO 31-12+A1:2008
9HOLþLQHLQHQRWHGHO=QDþLOQDãWHYLOD
Quantities and units - Part 11: Characteristic numbers
Grandeurs et unités - Partie 11: Nombres caractéristiques
Ta slovenski standard je istoveten z: ISO 80000-11:2008
ICS:
01.060 9HOLþLQHLQHQRWH Quantities and units
SIST ISO 80000-11:2013 en
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.

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SIST ISO 80000-11:2013

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SIST ISO 80000-11:2013
INTERNATIONAL ISO
STANDARD 80000-11
First edition
2008-12-15
Quantities and units —
Part 11:
Characteristic numbers
Grandeurs et unités —
Partie 11: Nombres caractéristiques

Reference number
ISO 80000-11:2008(E)
©
ISO 2008

---------------------- Page: 3 ----------------------

SIST ISO 80000-11:2013
ISO 80000-11:2008(E)
PDF disclaimer
This PDF file may contain embedded typefaces. In accordance with Adobe's licensing policy, this file may be printed or viewed but shall
not be edited unless the typefaces which are embedded are licensed to and installed on the computer performing the editing. In
downloading this file, parties accept therein the responsibility of not infringing Adobe's licensing policy. The ISO Central Secretariat
accepts no liability in this area.
Adobe is a trademark of Adobe Systems Incorporated.
Details of the software products used to create this PDF file can be found in the General Info relative to the file; the PDF-creation
parameters were optimized for printing. Every care has been taken to ensure that the file is suitable for use by ISO member bodies. In the
unlikely event that a problem relating to it is found, please inform the Central Secretariat at the address given below.
COPYRIGHT PROTECTED DOCUMENT
© ISO 2008
All rights reserved. Unless otherwise specified, no part of this publication may be reproduced or utilized in any form or by any means,
electronic or mechanical, including photocopying and microfilm, without permission in writing from either ISO at the address below or
ISO's member body in the country of the requester.
ISO copyright office
Case postale 56  CH-1211 Geneva 20
Tel. + 41 22 749 01 11
Fax + 41 22 749 09 47
E-mail [e-mail]
Web www.iso.org
Published in Switzerland
©
ii ISO 2008 – All rights reserved

---------------------- Page: 4 ----------------------

SIST ISO 80000-11:2013
ISO 80000-11:2008(E)
Contents Page
Foreword. iv
Introduction . v
1 Scope . 1
2 Normative references . 1
3 Names, symbols, and definitions . 1
4 Momentum transport . 2
5 Transport of heat . 4
6 Transport of matter in a binary mixture . 6
7 Constants of matter . 8
8 Magnetohydrodynamics . 9
©
ISO 2008 – All rights reserved iii

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SIST ISO 80000-11:2013
ISO 80000-11:2008(E)
Foreword
ISO (the International Organization for Standardization) is a worldwide federation of national standards bodies
(ISO member bodies). The work of preparing International Standards is normally carried out through ISO
technical committees. Each member body interested in a subject for which a technical committee has been
established has the right to be represented on that committee. International organizations, governmental and
non-governmental, in liaison with ISO, also take part in the work. ISO collaborates closely with the International
Electrotechnical Commission (IEC) on all matters of electrotechnical standardization.
International Standards are drafted in accordance with the rules given in the ISO/IEC Directives, Part 2.
The main task of technical committees is to prepare International Standards. Draft International Standards
adopted by the technical committees are circulated to the member bodies for voting. Publication as an
International Standard requires approval by at least 75 % of the member bodies casting a vote.
Attention is drawn to the possibility that some of the elements of this document may be the subject of patent
rights. ISO shall not be held responsible for identifying any or all such patent rights.
ISO 80000-11 was prepared by Technical Committee ISO/TC 12, Quantities, units, symbols, conversion factors
in co-operation with IEC/TC 25, Quantities and units.
This first edition of ISO80000-11 cancels and replaces the third edition of ISO31-12:1992 and
ISO 31-12:1992/Amd.1:1998. The major technical changes from the previous standard are the following:
— the normative references have been changed.
ISO 80000 consists of the following parts, under the general title Quantities and units:
— Part 1: General
— Part 2: Mathematical signs and symbols to be used in the natural sciences and technology
— Part 3: Space and time
— Part 4: Mechanics
— Part 5: Thermodynamics
— Part 7: Light
— Part 8: Acoustics
— Part 9: Physical chemistry and molecular physics
— Part 10: Atomic and nuclear physics
— Part 11: Characteristic numbers
— Part 12: Solid state physics
IEC 80000 consists of the following parts, under the general title Quantities and units:
— Part 6: Electromagnetism
— Part 13: Information science and technology
— Part 14: Telebiometrics related to human physiology
©
iv ISO 2008 – All rights reserved

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SIST ISO 80000-11:2013
ISO 80000-11:2008(E)
Introduction
0.1 Arrangements of the tables
All characteristic numbers are quantities of dimension one. Hence the coherent unit of all characteristic
numbers is the number one, symbol 1. This unit is not repeated in the following tables.
Where the numbering of an item has been changed in the revision of a part of ISO 31, the number in the
preceding edition is shown in parenthesis under the new number for the quantity; a dash is used to indicate that
the item in question did not appear in the preceding edition.
0.2 Tables of quantities
The names in English and in French of the most important quantities within the field of this document are given
together with their symbols and, in most cases, their definitions. These names and symbols are
recommendations. The definitions are given for identification of the quantities in the International System of
Quantities (ISQ), listed in the tables; they are not intended to be complete.
The scalar, vectorial or tensorial character of quantities is pointed out, especially when this is needed for the
definitions.
In most cases, only one name and only one symbol for the quantity are given; where two or more names or two
or more symbols are given for one quantity and no special distinction is made, they are on an equal footing.
ϑ θ ϕ φ a g
When two types of italic letters exist (for example as with and ; and ; a and ; g and ), only one of these
is given. This does not mean that the other is not equally acceptable. It is recommended that such variants
should not be given different meanings. A symbol within parenthesis implies that it is a reserve symbol, to be
used when, in a particular context, the main symbol is in use with a different meaning.
In this English edition, the quantity names in French are printed in an italic font, and are preceded by fr. The
gender of the French name is indicated by (m) for masculine and (f) for feminine, immediately after the noun in
the French name.
0.3 Remark on units for quantities of dimension one, or dimensionless quantities
The coherent unit for any quantity of dimension one, also called a dimensionless quantity, is the number one,
symbol 1. When the value of such a quantity is expressed, the unit symbol 1 is generally not written out
explicitly.
EXAMPLE 1 Refractive index n = 1,53× 1 = 1,53
Prefixes shall not be used to form multiples or submultiples of this unit. Instead of prefixes, powers of 10 are
recommended.
3
EXAMPLE 2 Reynolds number Re = 1,32× 10
Considering that plane angle is generally expressed as the ratio of two lengths and solid angle as the ratio of
two areas, in 1995 the CGPM specified that, in the SI, the radian, symbol rad, and steradian, symbol sr, are
dimensionless derived units. This implies that the quantities plane angle and solid angle are considered as
derived quantities of dimension one. The units radian and steradian are thus equal to one; they may either be
omitted, or they may be used in expressions for derived units to facilitate distinction between quantities of
different kind but having the same dimension.
©
ISO 2008 – All rights reserved v

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SIST ISO 80000-11:2013
.
vi

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SIST ISO 80000-11:2013
INTERNATIONAL STANDARD ISO 80000-11:2008(E)
Quantities and units —
Part 11:
Characteristic numbers
1Scope
ISO 80000-11 gives the names, symbols and definitions for characteristic numbers used in the description of
transport phenomena.
2 Normative references
The following referenced documents are indispensable for the application of this document. For dated
references, only the edition cited applies. For undated references, the latest edition of the referenced document
(including any amendments) applies.
ISO 80000-3:2006, Quantities and units — Part 3: Space and time
ISO 80000-4:2006, Quantities and units — Part 4: Mechanics
ISO 80000-5:2007, Quantities and units — Part 5: Thermodynamics
IEC 80000-6:2008, Quantities and units — Part 6: Electromagnetism
ISO 80000-8:2007, Quantities and units — Part 8: Acoustics
1)
ISO 80000-9:— , Quantities and units — Part 9: Physical chemistry and molecular physics
3 Names, symbols, and definitions
The names, symbols, and definitions for characteristic numbers are given on the following pages.
1) To be published. (Revision of ISO 31-8:1992)
©
ISO 2008 – All rights reserved 1

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SIST ISO 80000-11:2013
ISO 80000-11:2008(E)
4 Momentum transport
Item
...

INTERNATIONAL ISO
STANDARD 80000-11
First edition
2008-12-15
Quantities and units —
Part 11:
Characteristic numbers
Grandeurs et unités —
Partie 11: Nombres caractéristiques

Reference number
ISO 80000-11:2008(E)
©
ISO 2008

---------------------- Page: 1 ----------------------
ISO 80000-11:2008(E)
PDF disclaimer
This PDF file may contain embedded typefaces. In accordance with Adobe's licensing policy, this file may be printed or viewed but shall
not be edited unless the typefaces which are embedded are licensed to and installed on the computer performing the editing. In
downloading this file, parties accept therein the responsibility of not infringing Adobe's licensing policy. The ISO Central Secretariat
accepts no liability in this area.
Adobe is a trademark of Adobe Systems Incorporated.
Details of the software products used to create this PDF file can be found in the General Info relative to the file; the PDF-creation
parameters were optimized for printing. Every care has been taken to ensure that the file is suitable for use by ISO member bodies. In the
unlikely event that a problem relating to it is found, please inform the Central Secretariat at the address given below.
COPYRIGHT PROTECTED DOCUMENT
© ISO 2008
All rights reserved. Unless otherwise specified, no part of this publication may be reproduced or utilized in any form or by any means,
electronic or mechanical, including photocopying and microfilm, without permission in writing from either ISO at the address below or
ISO's member body in the country of the requester.
ISO copyright office
Case postale 56  CH-1211 Geneva 20
Tel. + 41 22 749 01 11
Fax + 41 22 749 09 47
E-mail [e-mail]
Web www.iso.org
Published in Switzerland
©
ii ISO 2008 – All rights reserved

---------------------- Page: 2 ----------------------
ISO 80000-11:2008(E)
Contents Page
Foreword. iv
Introduction . v
1 Scope . 1
2 Normative references . 1
3 Names, symbols, and definitions . 1
4 Momentum transport . 2
5 Transport of heat . 4
6 Transport of matter in a binary mixture . 6
7 Constants of matter . 8
8 Magnetohydrodynamics . 9
©
ISO 2008 – All rights reserved iii

---------------------- Page: 3 ----------------------
ISO 80000-11:2008(E)
Foreword
ISO (the International Organization for Standardization) is a worldwide federation of national standards bodies
(ISO member bodies). The work of preparing International Standards is normally carried out through ISO
technical committees. Each member body interested in a subject for which a technical committee has been
established has the right to be represented on that committee. International organizations, governmental and
non-governmental, in liaison with ISO, also take part in the work. ISO collaborates closely with the International
Electrotechnical Commission (IEC) on all matters of electrotechnical standardization.
International Standards are drafted in accordance with the rules given in the ISO/IEC Directives, Part 2.
The main task of technical committees is to prepare International Standards. Draft International Standards
adopted by the technical committees are circulated to the member bodies for voting. Publication as an
International Standard requires approval by at least 75 % of the member bodies casting a vote.
Attention is drawn to the possibility that some of the elements of this document may be the subject of patent
rights. ISO shall not be held responsible for identifying any or all such patent rights.
ISO 80000-11 was prepared by Technical Committee ISO/TC 12, Quantities, units, symbols, conversion factors
in co-operation with IEC/TC 25, Quantities and units.
This first edition of ISO80000-11 cancels and replaces the third edition of ISO31-12:1992 and
ISO 31-12:1992/Amd.1:1998. The major technical changes from the previous standard are the following:
— the normative references have been changed.
ISO 80000 consists of the following parts, under the general title Quantities and units:
— Part 1: General
— Part 2: Mathematical signs and symbols to be used in the natural sciences and technology
— Part 3: Space and time
— Part 4: Mechanics
— Part 5: Thermodynamics
— Part 7: Light
— Part 8: Acoustics
— Part 9: Physical chemistry and molecular physics
— Part 10: Atomic and nuclear physics
— Part 11: Characteristic numbers
— Part 12: Solid state physics
IEC 80000 consists of the following parts, under the general title Quantities and units:
— Part 6: Electromagnetism
— Part 13: Information science and technology
— Part 14: Telebiometrics related to human physiology
©
iv ISO 2008 – All rights reserved

---------------------- Page: 4 ----------------------
ISO 80000-11:2008(E)
Introduction
0.1 Arrangements of the tables
All characteristic numbers are quantities of dimension one. Hence the coherent unit of all characteristic
numbers is the number one, symbol 1. This unit is not repeated in the following tables.
Where the numbering of an item has been changed in the revision of a part of ISO 31, the number in the
preceding edition is shown in parenthesis under the new number for the quantity; a dash is used to indicate that
the item in question did not appear in the preceding edition.
0.2 Tables of quantities
The names in English and in French of the most important quantities within the field of this document are given
together with their symbols and, in most cases, their definitions. These names and symbols are
recommendations. The definitions are given for identification of the quantities in the International System of
Quantities (ISQ), listed in the tables; they are not intended to be complete.
The scalar, vectorial or tensorial character of quantities is pointed out, especially when this is needed for the
definitions.
In most cases, only one name and only one symbol for the quantity are given; where two or more names or two
or more symbols are given for one quantity and no special distinction is made, they are on an equal footing.
ϑ θ ϕ φ a g
When two types of italic letters exist (for example as with and ; and ; a and ; g and ), only one of these
is given. This does not mean that the other is not equally acceptable. It is recommended that such variants
should not be given different meanings. A symbol within parenthesis implies that it is a reserve symbol, to be
used when, in a particular context, the main symbol is in use with a different meaning.
In this English edition, the quantity names in French are printed in an italic font, and are preceded by fr. The
gender of the French name is indicated by (m) for masculine and (f) for feminine, immediately after the noun in
the French name.
0.3 Remark on units for quantities of dimension one, or dimensionless quantities
The coherent unit for any quantity of dimension one, also called a dimensionless quantity, is the number one,
symbol 1. When the value of such a quantity is expressed, the unit symbol 1 is generally not written out
explicitly.
EXAMPLE 1 Refractive index n = 1,53× 1 = 1,53
Prefixes shall not be used to form multiples or submultiples of this unit. Instead of prefixes, powers of 10 are
recommended.
3
EXAMPLE 2 Reynolds number Re = 1,32× 10
Considering that plane angle is generally expressed as the ratio of two lengths and solid angle as the ratio of
two areas, in 1995 the CGPM specified that, in the SI, the radian, symbol rad, and steradian, symbol sr, are
dimensionless derived units. This implies that the quantities plane angle and solid angle are considered as
derived quantities of dimension one. The units radian and steradian are thus equal to one; they may either be
omitted, or they may be used in expressions for derived units to facilitate distinction between quantities of
different kind but having the same dimension.
©
ISO 2008 – All rights reserved v

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.
vi

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INTERNATIONAL STANDARD ISO 80000-11:2008(E)
Quantities and units —
Part 11:
Characteristic numbers
1Scope
ISO 80000-11 gives the names, symbols and definitions for characteristic numbers used in the description of
transport phenomena.
2 Normative references
The following referenced documents are indispensable for the application of this document. For dated
references, only the edition cited applies. For undated references, the latest edition of the referenced document
(including any amendments) applies.
ISO 80000-3:2006, Quantities and units — Part 3: Space and time
ISO 80000-4:2006, Quantities and units — Part 4: Mechanics
ISO 80000-5:2007, Quantities and units — Part 5: Thermodynamics
IEC 80000-6:2008, Quantities and units — Part 6: Electromagnetism
ISO 80000-8:2007, Quantities and units — Part 8: Acoustics
1)
ISO 80000-9:— , Quantities and units — Part 9: Physical chemistry and molecular physics
3 Names, symbols, and definitions
The names, symbols, and definitions for characteristic numbers are given on the following pages.
1) To be published. (Revision of ISO 31-8:1992)
©
ISO 2008 – All rights reserved 1

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ISO 80000-11:2008(E)
4 Momentum transport
Item No. Name Symbol Definition Remarks
11-4.1 Reynolds number Re
ρvl vl
Re = =
(12-1) fr nombre (m) de
η ν
Reynolds
where ρ is mass density
(ISO 80000-4:2006, item 4-2), v is
speed (ISO 80000-3:2006, item 3-8.1),
l is length (ISO 80000-3:2006, item
3-1.1), η is dynamic viscosity
(ISO 80000-4:2006, item 4-23), and ν is
kinematic viscosity (ISO 80000-4:2006,
item 4-24)
11-4.2 Euler number Eu Sometimes the doubl
...

NORME ISO
INTERNATIONALE 80000-11
Première édition
2008-12-15
Grandeurs et unités —
Partie 11:
Nombres caractéristiques
Quantities and units —
Part 11: Characteristic numbers

Numéro de référence
ISO 80000-11:2008(F)
©
ISO 2008

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ISO 80000-11:2008(F)
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Droits de reproduction réservés. Sauf prescription différente, aucune partie de cette publication ne peut être reproduite ni utilisée sous
quelque forme que ce soit et par aucun procédé, électronique ou mécanique, y compris la photocopie et les microfilms, sans l'accord écrit
de l'ISO à l'adresse ci-après ou du comité membre de l'ISO dans le pays du demandeur.
ISO copyright office
Case postale 56  CH-1211 Geneva 20
Tel. + 41 22 749 01 11
Fax + 41 22 749 09 47
E-mail [e-mail]
Web www.iso.org
Publié en Suisse
©
ii ISO 2008 – Tous droits réservés

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ISO 80000-11:2008(F)
Sommaire Page
Avant-propos . iv
Introduction . v
1 Domaine d'application . 1
2 Références normatives . 1
3 Noms, symboles et définitions . 1
4 Transfert de quantité de mouvement . 2
5 Transfert de chaleur . 4
6 Transfert de matière dans un système binaire . 6
7 Constantes de la matière . 8
8 Magnétohydrodynamique . 9
©
ISO 2008 – Tous droits réservés iii

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ISO 80000-11:2008(F)
Avant-propos
L'ISO (Organisation internationale de normalisation) est une fédération mondiale d'organismes nationaux de
normalisation (comités membres de l'ISO). L'élaboration des Normes internationales est en général confiée
aux comités techniques de l'ISO. Chaque comité membre intéressé par une étude a le droit de faire partie du
comité technique créé à cet effet. Les organisations internationales, gouvernementales et non
gouvernementales, en liaison avec l'ISO participent également aux travaux. L'ISO collabore étroitement avec la
Commission électrotechnique internationale (CEI) en ce qui concerne la normalisation électrotechnique.
Les Normes internationales sont rédigées conformément aux règles données dans les Directives ISO/CEI,
Partie 2.
La tâche principale des comités techniques est d'élaborer les Normes internationales. Les projets de Normes
internationales adoptés par les comités techniques sont soumis aux comités membres pour vote. Leur
publication comme Normes internationales requiert l'approbation de 75 % au moins des comités membres
votants.
L'attention est appelée sur le fait que certains des éléments du présent document peuvent faire l'objet de droits
de propriété intellectuelle ou de droits analogues. L'ISO ne saurait être tenue pour responsable de ne pas avoir
identifié de tels droits de propriété et averti de leur existence.
L'ISO 80000-11 a été élaborée par le comité technique ISO/TC 12, Grandeurs, unités, symboles, facteurs de
conversion en collaboration avec la CEI/CE 25, Grandeurs et unités.
Cette première édition de l'ISO 80000-11 annule et remplace la troisième édition de l'ISO 31-12:1992 et
l'ISO 31-12:1992/Amd.1:1998. Les principales modifications techniques apportées par rapport à la précédente
norme sont les suivantes:
—les références normatives ont été modifiées.
L'ISO 80000 comprend les parties suivantes, présentées sous le titre général Grandeurs et unités:
— Partie 1: Généralités
— Partie2:Signes et symboles mathématiques à employer dans les sciences de la nature et dans la
technique
— Partie 3: Espace et temps
— Partie 4: Mécanique
— Partie 5: Thermodynamique
— Partie 7: Lumière
— Partie 8: Acoustique
— Partie 9: Chimie physique et physique moléculaire
— Partie 10: Physique atomique et nucléaire
— Partie 11: Nombres caractéristiques
— Partie 12: Physique de l'état solide
La CEI 80000 comprend les parties suivantes, présentées sous le titre général Grandeurs et unités:
— Partie 6: Électromagnétisme
— Partie 13: Science et technologies de l'information
— Partie 14: Télébiométrique relative à la physiologie humaine
©
iv ISO 2008 – Tous droits réservés

---------------------- Page: 4 ----------------------
ISO 80000-11:2008(F)
Introduction
0.1 Disposition des tableaux
Tous les nombres caractéristiques sont des grandeurs de dimension un, également appelées grandeurs sans
dimension. Par conséquent l'unité cohérente de tous les nombres caractéristiques est le nombre un, symbole 1.
Cette unité n'est pas reprise dans les tableaux suivants.
Lorsque la numérotation d'un article a été modifiée dans la révision d'une partie de l'ISO 31, le numéro utilisé
dans l'édition précédente figure entre parenthèses, sous le nouveau numéro de la grandeur; un tiret est utilisé
pour indiquer que la grandeur en question ne figurait pas dans l'édition précédente.
0.2 Tableaux des grandeurs
Les noms en anglais et en français des grandeurs les plus importantes relevant du domaine d'application du
présent document sont donnés conjointement avec leurs symboles et, dans la plupart des cas, avec leurs
définitions. Ces noms et symboles ont valeur de recommandations. Les définitions sont données en vue de
l'identification des grandeurs du Système international de grandeurs (ISQ, International System of Quantities),
et sont énumérées dans les tableaux; elles ne sont pas complètes, au sens strict du terme.
Le caractère scalaire, vectoriel ou tensoriel des grandeurs est indiqué, en particulier lorsque cela est
nécessaire pour les définir.
Dans la plupart des cas, un seul nom et un seul symbole sont donnés pour la grandeur; lorsque deux ou
plusieurs noms ou symboles sont indiqués pour une même grandeur, sans distinction spéciale, ils peuvent être
utilisés indifféremment. Lorsqu'il existe deux façons d'écrire une même lettre en italique (comme c'est le cas,
par exemple, avec ϑ et θ; ϕ et φ; a et a; g et g), une seule façon est indiquée. Cela ne signifie pas que l'autre
n'est pas également acceptable. Il est recommandé de ne pas donner de significations différentes à ces
variantes. Un symbole entre parenthèses signifie qu'il s'agit d'un symbole de réserve à utiliser lorsque, dans un
contexte particulier, le symbole principal est utilisé avec une signification différente.
Dans la présente édition française, les noms de grandeurs cités en anglais sont imprimés en italique et sont
précédés de en. En français, le genre des noms est indiqué par (m) pour masculin et par (f) pour féminin, juste
après le substantif dans le nom.
0.3 Remarques sur les unités des grandeurs de dimension un, ou grandeurs sans dimension
L'unité cohérente pour toute grandeur de dimension un, également appelée grandeur sans dimension, est le
nombre un, symbole 1. Lorsque la valeur d'une telle grandeur est exprimée, le symbole 1 de l'unité n'est
généralement pas écrit explicitement.
EXEMPLE 1 Indice de réfraction n = 1,53× 1 = 1,53
Il ne faut pas utiliser de préfixes pour former les multiples ou les sous-multiples de l'unité un. Au lieu des
préfixes, il est recommandé d'utiliser les puissances de 10.
3
EXEMPLE 2 Nombre de Reynolds Re = 1,32× 10
Considérant que l'angle plan est généralement exprimé sous forme de rapport entre deux longueurs et l'angle
solide sous forme de rapport entre deux aires, le CGPM a décidé en 1995 que, dans le SI, le radian (symbole
rad) et le stéradian (symbole sr) sont des unités dérivées sans dimension. Cela implique que les grandeurs
angle plan et angle solide sont considérées comme des grandeurs dérivées de dimension un. Les unités radian
et stéradian sont ainsi égales à un; elles peuvent être soit omises, soit utilisées dans l'expression des unités
dérivées afin de faciliter la distinction entre des grandeurs de nature différente mais de même dimension.
©
ISO 2008 – Tous droits réservés v

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.
vi

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NORME INTERNATIONALE ISO 80000-11:2008(F)
Grandeurs et unités —
Partie 11:
Nombres caractéristiques
1 Domaine d'application
L'ISO 80000-11 donne les noms, les symboles et les définitions des nombres caractéristiques utilisés dans la
description des phénomènes de transfert.
2 Références normatives
Les documents de référence suivants sont indispensables pour l'application du présent document. Pour les
références datées, seule l'édition citée s'applique. Pour les références non datées, la dernière édition du
document de référence s'applique (y compris les éventuels amendements).
ISO 80000-3:2006, Grandeurs et unités — Partie 3: Espace et temps
ISO 80000-4:2006, Grandeurs et unités — Partie 4: Mécanique
ISO 80000-5:2007, Grandeurs et unités — Partie 5: Thermodynamique
CEI 80000-6:2008, Grandeurs et unités — Partie 6: Électromagnétisme
ISO 80000-8:2007, Grandeurs et unités — Partie 8: Acoustique
1)
ISO 80000-9:— , Grandeurs et unités — Partie 9: Chimie physique et physique moléculaire
3 Noms, symboles et définitions
Les noms, les symboles et les définitions des nombres caractéristiques sont donnés aux pages suivantes.
1) À publier. (Révision de l'ISO 31-8:1992)
©
ISO 2008
...

SLOVENSKI SIST ISO 80000-11

STANDARD
maj 2013











Veličine in enote – 11. del: Značilna števila

Quantities and units – Part 11: Characteristic numbers

Grandeurs et unités – Partie 11: Nombres caractéristiques





























Referenčna oznaka
ICS 01.060 SIST ISO 80000-11:2013 (sl)
Nadaljevanje na straneh od 2 do 14





© 2013-05: Slovenski inštitut za standardizacijo. Razmnoževanje ali kopiranje celote ali delov tega standarda ni dovoljeno.

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SIST ISO 80000-11 : 2013
NACIONALNI UVOD

Standard SIST ISO 80000-11 (sl), Veličine in enote – 11. del: Značilna števila, maj 2013, ima status
slovenskega standarda in je enakovreden mednarodnemu standardu ISO 80000-11 (en), Quantities
and units – Part 11: Characteristic numbers, 2008.
NACIONALNI PREDGOVOR
Mednarodni standard ISO 80000-11:2008 je pripravil tehnični odbor ISO/TC 12 Veličine, enote,
simboli, pretvorniki v sodelovanju s tehničnim odborom IEC/TC 25 Veličine in enote.
Slovenski standard SIST ISO 80000-11:2013 je prevod angleškega besedila mednarodnega
standarda ISO 80000-11:2008. V primeru spora glede besedila slovenskega prevoda v tem standardu
je odločilen izvirni mednarodni standard v angleškem jeziku. Slovensko izdajo standarda je pripravil in
potrdil tehnični odbor SIST/TC TRS Tehnično risanje, veličine, enote, simboli in grafični simboli.
ZVEZA Z NACIONALNIMI STANDARDI
S privzemom tega mednarodnega standarda, veljajo za omejeni namen referenčnih standardov vsi
standardi, navedeni v izvirniku, razen standardov, ki so že sprejeti v nacionalno standardizacijo:
SIST ISO 80000-1:2013 (sl) Veličine in enote – 1. del: Splošno
SIST ISO 80000-3:2012 (sl) Veličine in enote – 3. del: Prostor in čas
SIST ISO 80000-4:2012 (sl)  Veličine in enote – 4. del: Mehanika
SIST ISO 80000-5:2012 (sl)  Veličine in enote – 5. del: Termodinamika
SIST EN 80000-6:2008 (en,fr) Veličine in enote – 6. del: Elektromagnetizem
SIST ISO 80000-8:2012 (sl)  Veličine in enote – 8. del: Akustika

PREDHODNA IZDAJA
SIST ISO 31-12+A1:2008 (sl) Veličine in enote – 12. del: Karakteristična števila
SIST ISO 31-12:1995/Amd. 1:2001 Veličine in enote – 12. del: Karakteristična števila

OPOMBI
– Povsod, kjer se v besedilu standarda uporablja izraz "mednarodni standard", v
SIST ISO 80000-11:2013 to pomeni "slovenski standard".

– Nacionalni uvod in nacionalni predgovor nista sestavna dela standarda.

2

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SIST ISO 80000-11 : 2013
VSEBINA Stran
Predgovor .4
Uvod .5
1 Področje uporabe .6
2 Zveza z drugimi standardi .6
3 Imena, simboli in definicije .6
4 Prenos gibalnine.7
5 Prenos toplote .9
6 Prenos snovi v binarni zmesi.11
7 Snovne konstante.13
8 Magnetohidrodinamika .14
3

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SIST ISO 80000-11 : 2013
Predgovor
ISO (Mednarodna organizacija za standardizacijo) je svetovna zveza nacionalnih organov za
standarde (članov ISO). Mednarodne standarde navadno pripravljajo tehnični odbori ISO. Vsak član,
ki želi delovati na določenem področju, za katero je bil ustanovljen tehnični odbor, ima pravico biti
zastopan v tem odboru. Pri delu sodelujejo tudi vladne in nevladne mednarodne organizacije,
povezane z ISO. V vseh zadevah, ki so povezane s standardizacijo na področju elektrotehnike, ISO
tesno sodeluje z Mednarodno elektrotehniško komisijo (IEC).
Mednarodni standardi so pripravljeni v skladu s pravili, podanimi v Direktivah ISO/IEC, 2. del.
Glavna naloga tehničnih odborov je priprava mednarodnih standardov. Osnutki mednarodnih
standardov, ki jih sprejmejo tehnični odbori, se pošljejo vsem članom v glasovanje. Za objavo
mednarodnega standarda je treba pridobiti soglasje najmanj 75 % članov, ki se udeležijo glasovanja.
Opozoriti je treba na možnost, da je lahko nekaj elementov tega dokumenta predmet patentnih pravic.
ISO ne prevzema odgovornosti za ugotavljanje istovetnosti katerihkoli ali vseh takih patentnih pravic.
Mednarodni standard ISO 80000-11 je pripravil tehnični odbor ISO/TC 12 Veličine, enote, simboli,
pretvorniki v sodelovanju z IEC/TC 25 Veličine in enote.
Prva izdaja standarda ISO 80000-11 razveljavlja in nadomešča tretjo izdajo ISO 31-12:1992 in
dopolnilo ISO 31-12:1992/Amd.1:1998. V primerjavi s prejšnjim standardom je glavna tehnična
sprememba naslednja:
– spremenjena je zveza z drugimi standardi.
ISO 80000 s skupnim naslovom Veličine in enote sestavljajo naslednji deli:
– 1. del: Splošno
– 2. del: Matematični znaki in simboli za uporabo v naravoslovnih vedah in tehniki
– 3. del: Prostor in čas
– 4. del: Mehanika
– 5. del: Termodinamika
– 7. del: Svetloba
– 8. del: Akustika
– 9. del: Fizikalna kemija in molekulska fizika
– 10. del: Atomska in jedrska fizika
– 11. del: Značilna števila
– 12. del: Fizika trdne snovi
IEC 80000 s skupnim naslovom Veličine in enote sestavljajo naslednji deli:
– 6. del: Elektromagnetizem
– 13. del: Informacijska znanost in tehnologija
– 14. del: Telebiometrija, povezana s fiziologijo človeka
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SIST ISO 80000-11 : 2013
0 Uvod
0.1 Razvrstitev v preglednice
Vsa značilna števila so veličine z dimenzijo ena. Torej je koherentna enota vseh značilnih števil število
ena, simbol 1. Ta enota se v naslednjih preglednicah ne ponavlja.
Kjer je bila pri reviziji dela standarda ISO 31 zaporedna številka veličine spremenjena, je številka iz
prejšnje izdaje navedena v oklepaju na levi strani pod novo številko veličine; pomišljaj pomeni, da
prejšnja izdaja ni vsebovala te veličine.
0.2 Preglednice veličin
Imena najpomembnejših veličin v tem mednarodnem standardu so podana skupaj s svojimi simboli in
največkrat tudi z definicijami. Ta imena in simboli so priporočila. Definicije so podane samo za
opredelitev veličin v mednarodnem sistemu veličin (ISQ), navedenih v preglednicah, in niso nujno
popolne.

Skalarni, vektorski in tenzorski značaj nekaterih veličin je prikazan, zlasti kadar je potreben za
definicijo.

Večina veličin ima podano samo eno ime in samo en simbol; če sta za eno veličino podani dve imeni
ali več oziroma dva simbola ali več in razlika ni opredeljena, so enakovredni. Kadar obstajata dva tipa
in a;
poševnih črk (kot npr. ϑ in θ; ϕ in φ; a g in g), je uporabljen samo eden. To ne pomeni, da drugi
ni enako sprejemljiv. Takšnim različicam ni priporočljivo pripisovati različnih pomenov. Če je simbol v
oklepaju, pomeni, da je "rezervni" in se v besedilu uporablja takrat, kadar ima glavni simbol drugačen
pomen.
V angleški izdaji so francoska imena veličin v poševnem tisku, pred njimi pa stoji oznaka fr. Spol je pri
francoskem imenu označen z oznako (m) za moški in (f) za ženski spol, ki stoji neposredno za
samostalnikom v francoskem imenu.

0.3 Opomba glede enot veličin z dimenzijo ena oziroma brezdimenzijskih veličin
Koherentna enota za katerokoli veličino z dimenzijo ena je število ena, simbol 1. Pri izražanju količine
takšne veličine se simbol enote, 1, navadno ne piše.

1. PRIMER: Lomni količnik n = 1,53 × 1 = 1,53

Za večkratnike in manjkratnike te enote naj se predpone ne uporabljajo. Namesto predpon se
priporoča uporaba potenc števila 10.

3
2. PRIMER: Reynoldsovo število Re = 1,32 × 10
Ker je ravninski kot na splošno izražen z razmerjem med dvema dolžinama in prostorski kot z
razmerjem med dvema ploščinama, je CGPM leta 1995 v mednarodnem sistemu enot določil, da sta
radian, simbol rad, in steradian, simbol sr, brezdimenzijski izpeljani enoti. Torej se veličini ravninski kot
in prostorski kot obravnavata kot izpeljani veličini z dimenzijo ena. Enoti radian in steradian sta tako
enaki ena; lahko se izpustita ali pa se uporabljata v izrazih za izpeljane enote, da je lažje razlikovati
med veličinami različne vrste, vendar enake dimenzije.
5

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SIST ISO 80000-11 : 2013
Veličine in enote –
11. del:
Značilna števila

1 Področje uporabe
ISO 80000-11 podaja imena, simbole in definicije značilnih števil, ki se uporabljajo pri opisovanju
prenosnih pojavov.
2 Zveza z drugimi standardi
Za uporabo tega dokumenta so nujno potrebni spodaj navedeni standardi. Pri datiranem sklicevanju
se upošteva samo navedena izdaja. Pri nedatiranem sklicevanju se upošteva zadnja izdaja
navedenega dokumenta (vključno z morebitnimi dopolnili).
ISO 80000-3:2006 Veličine in enote – 3. del: Prostor in čas
ISO 80000-4:2006 Veličine in enote – 4. del: Mehanika
ISO 80000-5:2007 Veličine in enote – 5. del:Termodinamika
IEC 80000-6:2008 Veličine in enote – 6. del: Elektromagnetizem
ISO 80000-8:2007 Veličine in enote – 8. del: Akustika
1
ISO 80000-9:– Veličine in enote – 9. del: Fizikalna kemija in molekulska fizika
3 Imena, simboli in definicije
Imena, simboli in definicije za značilna števila so podani na naslednjih straneh.


1
V pripravi za objavo. (Revizija ISO 31-8:1992)
6

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SIST ISO 80000-11 : 2013
4 Prenos gibalnine
Zap. št. Im
...