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1、BS ISO 80000-11:2008 ICS 1.06 NO COPYING WITHOUT BSI PERMISSION EXCEPT AS PERMITTED BY COPYRIGHT LAW BRITISH STANDARD Quantities and units Part 11: Characteristic numbers 0 Licensed CopyChinese University of Hong Kong, 11/04/2009 08:57, Uncontrolled Copy, (c) BSI This British Standard was published
2、under the authority of the Standards Policy and Strategy Committee on 31 March 2009 BSI 2009 ISBN 978 0 580 54871 0 Amendments/corrigenda issued since publication DateComments BS ISO 80000-11:2008 National foreword This British Standard is the UK implementation of ISO 80000-11:2008. It supersedes BS
3、 ISO 31-12:1992 which is withdrawn. The UK participation in its preparation was entrusted to Technical Committee SS/7, General metrology, quantities, units and symbols. A list of organizations represented on this committee can be obtained on request to its secretary. This publication does not purpor
4、t to include all the necessary provisions of a contract. Users are responsible for its correct application. Compliance with a British Standard cannot confer immunity from legal obligations. Licensed CopyChinese University of Hong Kong, 11/04/2009 08:57, Uncontrolled Copy, (c) BSI BS ISO 80000-11:200
5、8 INTERNATIONAL STANDARD ISO 80000-11 First edition 2008-12-15 Reference number ISO 80000-11:2008(E) ISO 2008 Quantities and units Part 11: Characteristic numbers Grandeurs et units Partie 11: Nombres caractristiques Licensed CopyChinese University of Hong Kong, 11/04/2009 08:57, Uncontrolled Copy,
6、(c) BSI BS ISO 80000-11:2008 ISO 80000-11:2008(E) ii ISO 2008 All rights reserved PDF disclaimer This PDF file may contain embedded typefaces. In accordance with Adobes licensing policy, this file may be printed or viewed but shall not be edited unless the typefaces which are embedded are licensed t
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9、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 a
10、nd microfilm, without permission in writing from either ISO at the address below or ISOs 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 copyrightiso.org Web www.iso.org Published in Switzerland L
11、icensed CopyChinese University of Hong Kong, 11/04/2009 08:57, Uncontrolled Copy, (c) BSI BS ISO 80000-11:2008 ISO 80000-11:2008(E) ISO 2008 All rights reserved iii Contents Page Foreword iv Introduction. v 1Scope 1 2Normative references 1 3Names, symbols, and definitions . 1 4Momentum transport . 2
12、 5Transport of heat . 4 6Transport of matter in a binary mixture . 6 7Constants of matter . 8 8Magnetohydrodynamics 9 Licensed CopyChinese University of Hong Kong, 11/04/2009 08:57, Uncontrolled Copy, (c) BSI BS ISO 80000-11:2008 ISO 80000-11:2008(E) iv ISO 2008 All rights reserved Foreword ISO (the
13、 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 committe
14、e 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 electrotechni
15、cal 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 b
16、odies 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 a
17、ny 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 ISO 80000-11 cancels and replaces the third edition of ISO 31-12:1992 and ISO 31-12:199
18、2/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 natura
19、l 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 follow
20、ing parts, under the general title Quantities and units: Part 6: Electromagnetism Part 13: Information science and technology Part 14: Telebiometrics related to human physiology Licensed CopyChinese University of Hong Kong, 11/04/2009 08:57, Uncontrolled Copy, (c) BSI BS ISO 80000-11:2008 ISO 80000-
21、11:2008(E) ISO 2008 All rights reserved v Introduction 0.1Arrangements 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 o
22、f 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. 0.2Tables of quantities The names in Englis
23、h 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 Q
24、uantities (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 n
25、ames or two or more symbols are given for one quantity and no special distinction is made, they are on an equal footing. 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. I
26、t 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
27、 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. 0.3Remark on units for quantities of dimension one, or dimensionless quantities The coherent unit for any quantity of dimen
28、sion 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 1Refractive index Prefixes shall not be used to form multiples or submultiples of this unit. Instead of pref
29、ixes, powers of 10 are recommended. EXAMPLE 2Reynolds number 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 deri
30、ved 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 quan
31、tities of different kind but having the same dimension. ag n =1,531=1,53 Re =1,32103 Licensed CopyChinese University of Hong Kong, 11/04/2009 08:57, Uncontrolled Copy, (c) BSI BS ISO 80000-11:2008 . vi Licensed CopyChinese University of Hong Kong, 11/04/2009 08:57, Uncontrolled Copy, (c) BSI BS ISO
32、80000-11:2008 INTERNATIONAL STANDARDISO 80000-11:2008(E) ISO 2008 All rights reserved 1 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. 2Normative references T
33、he 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: Spa
34、ce 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 ISO 80000-9:1), Quantities and units Part 9: Phy
35、sical chemistry and molecular physics 3Names, 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) Licensed CopyChinese University of Hong Kong, 11/04/2009 08:57, Uncontrolled Copy, (c
36、) BSI BS ISO 80000-11:2008 ISO 80000-11:2008(E) 2 ISO 2008 All rights reserved 4Momentum transport Item No.NameSymbolDefinitionRemarks 11-4.1 (12-1) Reynolds number fr nombre (m) de Reynolds where is mass density (ISO 80000-4:2006, item 4-2), is speed (ISO 80000-3:2006, item 3-8.1), is length (ISO 8
37、0000-3:2006, item 3-1.1), is dynamic viscosity (ISO 80000-4:2006, item 4-23), and is kinematic viscosity (ISO 80000-4:2006, item 4-24) 11-4.2 (12-2) Euler number fr nombre (m) dEuler where is pressure (ISO 80000-4:2006, item 4-15.1), is mass density (ISO 80000-4:2006, item 4-2), and is speed (ISO 80
38、000-3:2006, item 3-8.1) Sometimes the double of the Euler number as defined here is called the Euler number. That definition is deprecated. 11-4.3 (12-3) Froude number fr nombre (m) de Froude where is speed (ISO 80000-3:2006, item 3-8.1), is length (ISO 80000-3:2006, item 3-1.1), and is acceleration
39、 of free fall (ISO 80000-3:2006, item 3-9.2) Sometimes the square of the Froude number as defined here is called the Froude number. That definition is deprecated. 11-4.4 (12-4) Grashof number fr nombre (m) de Grashof where is length (ISO 80000-3:2006, item 3-1.1), is acceleration of free fall (ISO 8
40、0000-3:2006, item 3-9.2), is cubic expansion coefficient (ISO 80000-5:2007, item 5-3.2), is thermodynamic temperature (ISO 80000-5:2007, item 5-1), and is kinematic viscosity (ISO 80000-4:2006, item 4-24) 11-4.5 (12-5) Weber number fr nombre (m) de Weber where is mass density (ISO 80000-4:2006, item
41、 4-2), is speed (ISO 80000-3:2006, item 3-8.1), is length (ISO 80000-3:2006, item 3-1.1), and is surface tension (ISO 80000-4:2006, item 4-25) (continued) Re Re = vl = vl v l Eu Eu = p v2 p v Fr Fr = v lg v l g Gr Gr = l3gT 2 l g T We We = v2l v l Licensed CopyChinese University of Hong Kong, 11/04/
42、2009 08:57, Uncontrolled Copy, (c) BSI BS ISO 80000-11:2008 ISO 80000-11:2008(E) ISO 2008 All rights reserved 3 Item No.NameSymbolDefinitionRemarks 11-4.6 (12-6) Mach number fr nombre (m) de Mach where is speed (ISO 80000-3:2006, item 3-8.1) and is speed of sound (ISO 80000-8:2007, item 8-14.1) 11-4
43、.7 (12-7) Knudsen number fr nombre (m) de Knudsen where is mean free path (ISO 80000-9:, item 9-38) and is length (ISO 80000-3:2006, item 3-1.1) 11-4.8 (12-8) Strouhal number fr nombre (m) de Strouhal where is length (ISO 80000-3:2006, item 3-1.1), is frequency (ISO 80000-3:2006, item 3-15.1), and i
44、s speed (ISO 80000-3:2006, item 3-8.1) (concluded) Ma Ma = v/c v c Kn Kn = /l l Sr Sr = lf/v l f v Licensed CopyChinese University of Hong Kong, 11/04/2009 08:57, Uncontrolled Copy, (c) BSI BS ISO 80000-11:2008 ISO 80000-11:2008(E) 4 ISO 2008 All rights reserved 5Transport of heat Item No.NameSymbol
45、DefinitionRemarks 11-5.1 (12-9) Fourier number fr nombre (m) de Fourier where is thermal conductivity (ISO 80000-5:2007, item 5-9), is time (ISO 80000-3:2006, item 3-7), is specific heat capacity at constant pressure (ISO 80000-5:2007, item 5-16.2), is mass density (ISO 80000-4:2006, item 4-2), is l
46、ength (ISO 80000-3:2006, item 3-1.1), and is thermal diffusivity (ISO 80000-5:2007, item 5-14) 11-5.2 (12-10) Pclet number fr nombre (m) de Pclet where is mass density (ISO 80000-4:2006, item 4-2), is specific heat capacity at constant pressure (ISO 80000-5:2007, item 5-16.2), is speed (ISO 80000-3:
47、2006, item 3-8.1), is length (ISO 80000-3:2006, item 3-1.1), is thermal conductivity (ISO 80000-5:2007, item 5-9), and is thermal diffusivity (ISO 80000-5:2007, item 5-14) 11-5.3 (12-11) Rayleigh number fr nombre (m) de Rayleigh where is length (ISO 80000-3:2006, item 3-1.1), is mass density (ISO 80
48、000-4:2006, item 4-2), is specific heat capacity at constant pressure (ISO 80000-5:2007, item 5-16.2), is acceleration of free fall (ISO 80000-3:2006, item 3-9.2), is cubic expansion coefficient (ISO 80000-5:2007, item 5-3.2), is thermodynamic temperature (ISO 80000-5:2007, item 5-1), is dynamic vis
49、cosity (ISO 80000-4:2006, item 4-23), is thermal conductivity (ISO 80000-5:2007, item 5-9), is kinematic viscosity (ISO 80000-4:2006, item 4-24), and is thermal diffusivity (ISO 80000-5:2007, item 5-14) (continued) Fo Fo = t cpl2 = at l2 t cp l a Pe Pe = cpvl = vl a cp v l a Pe = Re Pr Ra Ra = l32cpgT = l3gT a l cp g T a Ra = Gr Pr Licensed CopyChinese University of Hong Kong, 11/04/2009 08:57, Uncontrolled Copy, (c) BSI BS ISO 80000-11