ISO 31-12:1981
(Main)Dimensionless parameters
Dimensionless parameters
Paramètres sans dimension
General Information
- Status
- Withdrawn
- Publication Date
- 30-Jun-1981
- Withdrawal Date
- 30-Jun-1981
- Technical Committee
- ISO/TC 12 - Quantities and units
- Drafting Committee
- ISO/TC 12 - Quantities and units
- Current Stage
- 9599 - Withdrawal of International Standard
- Start Date
- 27-Aug-1992
- Completion Date
- 12-Feb-2026
Relations
- Effective Date
- 15-Apr-2008
Frequently Asked Questions
ISO 31-12:1981 is a standard published by the International Organization for Standardization (ISO). Its full title is "Dimensionless parameters". This standard covers: Dimensionless parameters
Dimensionless parameters
ISO 31-12:1981 is classified under the following ICS (International Classification for Standards) categories: 01.060 - Quantities and units. The ICS classification helps identify the subject area and facilitates finding related standards.
ISO 31-12:1981 has the following relationships with other standards: It is inter standard links to ISO 31-12:1992. Understanding these relationships helps ensure you are using the most current and applicable version of the standard.
ISO 31-12:1981 is available in PDF format for immediate download after purchase. The document can be added to your cart and obtained through the secure checkout process. Digital delivery ensures instant access to the complete standard document.
Standards Content (Sample)
International Standard 31/12
INTERNATIONAL ORGANIZATION FOR STANDARDlZATION*ME~YHAPO~HAR OPrAHH3AUMR Il0 CTAHAAPTH3AUMH.ORGANlSATlON INTERNATIONALE DE NORMALISATION
Dimensionless parameters
O
Param&tres sans dimension
Second edition - 1981-07-01
O
4 UDC 53.081 Ref. No. ISO31/12-1981(E)
Descriptors : dimensionless parameters, aerodynamics, physical properties, mechanical properties, heat transfer, mass transfer, momentum,
$! symbols, definitions.
Price based on 6 pages
s
Foreword
IS0 (the International Organization for Standardization) is a worldwide federation of
national standards institutes (IS0 member bodies). The work of developing Inter-
national Standards is carried out through IS0 technical committees. Every member
body interested in a subject for which a technical committee has been set up has the
right to be represented on that committee. International organizations, governmental
and non-governmental, in liaison with 60, also take part in the work.
Draft International Standards adopted by the technical committees are circulated to
the member bodies for approval before their acceptance as International Standards by
the IS0 Council.
International Standard IS0 31 /I2 was developed by Technical Committee ISO/TC 12,
Quantities, units, symbols, conversion factors and conversion tables.
This second edition was submitted directly to the IS0 Council, in accordance with
clause 5.10.1 of Dart 1 of the Directives for the technical work of ISO. It cancels and
.replaces the firs; edition (i.e. IS0 31/12-1975), which had been approved by the
member bodies of the following countries :
Germany, F.R. Poland
Australia
Belgium Greece Portugal
India South Africa, Rep. of
Canada
Japan Sri Lanka
Chile
Korea, Rep. of Sweden
Czechoslovakia
Denmark Netherlands Thailand
Finland New Zealand United Kingdom
France Norway USSR
No member body had expressed disapproval of the document.
O International Organization for Standardization, 1981
Printed in Switzerland
I
~~~~~ ~ ~
IS0 31/12-1981 (E)
INTERNATIONAL STANDARD
Dimensionless parameters
O
Introduction
General remarks Part 8 : Quantities and units of physical chemistry and
molecular physics.
This document, containing a table of dimensionlessparameters,
is part 12 of IS0 31, which deals with quantities and units in the Part 9 : Quantities and units of atomic and nuclear physics.
various fields of science and technology. The complete list of
Part 10 : Quantities and units of nuclear reactions and
parts of IS0 31 is as follows :
ionking radiations.
Part O : General principles concerning quantities, units and
Part 11 : Mathematical signs and symbols for use in the
symbols.
physical sciences and technology.
Part 1 : Quantities and units of space and time.
Part 12 : Dimensionless parameters.
Part 2 : Quantities and units of periodic and related
Part 13 : Quantities and units of solid state physics.
phenomena.
Part 3 : Quantities and units of mechanics.
Special remarks
Part 4 : Quantities and units of heat.
This document contains a selection of dimensionless par-
ameters and constants used for the description of transport
Part 5 : Quantities and units of electricity and magnetism. phenomena.
Each recommended symbol for such a quantity consists of two
Part 6 : Quantities and units of light and related electro-
magnetic radiations. letters. When such a symbol appears as a factor in a product, it
is recommended that it be separated from the other symbols by
a space, by a multiplication sign or by brackets.
Part 7 : Quantities and units of acoustics.
lSO31/12-1981 (E)
1. Dimensionless parameters : momentum transport
-
Item
Symbol Name Definition Remarks
No.
-
Reynolds number 1Re=~=; @VI VI
12-1 Re
__
AP
12-2 Eu Euler number
I Eu = ;-
__.
12-3 Fr Froude number Fr = - Sometimes called Reech number.
&
-
13gy A0
-- A@ = yA0
Gr = ___.
12-4 Gr Grashof number
e
V2
O
-
e 021
12-5 We Weber number We = -
__
Mach number lMa=T V
12-6 Ma
___
a
Knudsen number Kn = -
12-7 Kn
I
__
If
12-8 Sr Strouhal number Sr = ~
V
2. Dimensionless parameters : transport of heat
-
Item
O
Definition Remarks
Symbol Name
No.
12-9 Fo Fourier number
-
ecpvl VI
pe=--- -
Pe = Re.Pr
12-10 Pe PtSc
...
Norme internationale 31/12
INTERNATIONAL ORGANIZATION FOR STANDARDIZATlON.MEKIIYHAPOIIHAR OPrAHH3AUHR no CTAHnAP7n3A~CIM.ORGANlSATlON INTERNATIONALE DE NORMALISATION
Paramètres sans dimension
O Dimensionless parameters
Deuxieme 6dition - 1981-07-01
S CDU 53.081 R6f. no : IS031/12-1981 (FI
@ Descripteurs : parametre sans dimension, aerodynamique, propriete physique, propriete mbcanique, transfert de chaleur, transfert de masse,
quantite de mouvement, symbole, dbfinition.
e
\
F2
Prix bas6 sur 6 pages
s
Avant-propos
L'ISO (Organisation internationale de normalisation) est une fBdBration mondiale
d'organismes nationaux de normalisation (comités membres de I'ISO). L'elaboration
des Normes internationales est confiBe aux comités techniques de I'ISO. Chaque
comitb membre intBress6 par une Btude a le droit de faire partie du comit6 technique
correspondant. Les organisations internationales, gouvernementales et non gouverne-
mentales, en liaison avec I'ISO, participent Bgalement aux travaux.
O
Les projets de Normes internationales adoptes par les comitBs techniques sont soumis
aux comitBs membres pour approbation, avant leur acceptation comme Normes inter-
I'ISO.
nationales par le Conseil de
La Norme internationale IS0 31 /I2 a 6th élaborBe par le comitk technique ISO/TC 12,
Grandeurs, unith, symboles, facteurs de conversion et tables de conversion.
Cette deuxieme Bdition fut soumise directement au Conseil de I'ISO, conformBment au
paragraphe 5.10.1 de la partie 1 des Directives pour les travaux techniques de I'ISO.
Elle annule et remplace la premiere Bdition (IS0 31/12-1975), qui avait BtB approuvbe
par les comitBs membres des pays suivants :
Afrique du Sud, RBp. d' Finlande Pologne
Allemagne, R. F. France Portugal
Australie Grece Royaume-Uni
Belgique Inde Sri Lanka
Canada Japon Suede
Chili Norvhge Tchécoslovaquie
O
CorBe, Rép. de Nouvelle-Mande Thaïlande
Danemark Pays-Bas URSS
Aucun comitB membre ne l'avait d6sapprouv6e.
@ Organisation internationale de normalisation, 1981 0
Imprime en Suisse
NORM E I NTE R NAT1 ON A LE
IS0 31/12-1981 (F)
Paramètres sans dimension
O
Introduction
Remarques generales Partie 9 : Grandeurs et unit& de physique atomique et
nucldaire.
Le present document, contenant un tableau des paramhtres
sans dimension, est la partie 12 de I'ISO 31, qui specifie les Partie 10 : Grandeurs et unit& de r6actions nuclbaires et
la science et
grandeurs et unites dans differents domaines de rayonnements ionisants.
de la technique. La liste compl&te des parties de I'ISO 31 est la
suivante : Partie 11 : Signes et symboles math4matiques c) employer
dans les sciences physiques et dans la technique.
Partie O : Principes gdnn8raux concernant les grandeurs, les
unit& et les symboles.
Partie 12 : Paramhtres sans dimension.
Partie 1 : Grandeurs et unitds de phdnomhnes pbriodiques
Partie 13 : Grandeurs et unit& de la physique de lUtat
et connexes.
solide.
Partie 3 : Grandeurs et unit& de mhcanique.
Partie 4 : Grandeurs et unit& de chaleur.
Remarques particulieres
Partie 5 : Grandeurs et unit& d'6lectricitd et de magnd-
Ce document contient une s6lection de paramhtres et de cons-
tisme.
tantes sans dimension employ& pour la description des phho-
mbnes de transfert.
Partie 6 : Grandeurs et unit& de lumihre et de rayonne-
ments 6lectromagn6tiques connexes.
Le symbole recommande pour chacune de ces grandeurs est
compos6 de deux lettres. Si un tel symbole apparaît en facteur
Partie 7 : Grandeurs et unit& d'acoustique.
dans un produit, il est recommande de le separer des autres
Partie 8 : Grandeurs et unith de chimie physique et de symboles par un espace, par un signe de multiplication ou par
des parenthhses.
physique moldculaire.
IS0 31/12-1981 (F)
1. Parametres sans dimension : Transfert de quantite de mouvement
ND Symbole
Nom Ddfinition
Remarques
-
12-1
Re nombre de Reynolds
-
-_
AP
12-2 Eu nombre d'Euler EU = -
eo2
-
-
U
12-3 Fr nombre de Froude Fr = -
Parfois appel6 nombre de Reech.
Jlg
___ -- -
-- A@ = yA6'
12-4 Gr nombre de Grashof
e
__
O
e 021
12-5 We nombre de Weber We = -
-
U
12-6 Ma nombre de Mach Ma = -
C
__
I
12-7 Kn nombre de Knudsen Kn = -
I
-
If
12-8 Sr nombre de Strouhal Sr = __
V
2. Parametres sans dimension : Transfert de chaleur
Ddfinition Remarques
NO Symbole Nom
O
12-9 Fo nombre de Fourier
~~
Pe = RemPr
Pe nombre de PBclet
12-10
Ra = GPPr
12-11 Ra nombre de Rayleigh
hl
nombre de Nusselt NU = __
12-12 Nu
...








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