1、August 2013 Translation by DIN-Sprachendienst.English price group 10No part of this translation may be reproduced without prior permission ofDIN Deutsches Institut fr Normung e. V., Berlin. Beuth Verlag GmbH, 10772 Berlin, Germany,has the exclusive right of sale for German Standards (DIN-Normen).ICS
2、 01.060!%(“2052791www.din.deDDIN EN ISO 80000-11Quantities and units Part 11: Characteristic numbers (ISO 80000-11:2008);English version EN ISO 80000-11:2013,English translation of DIN EN ISO 80000-11:2013-08Gren und Einheiten Teil 11: Kenngren der Dimension Zahl (ISO 80000-11:2008);Englische Fassun
3、g EN ISO 80000-11:2013,Englische bersetzung von DIN EN ISO 80000-11:2013-08Grandeurs et units Partie 11: Nombres caractristiques (ISO 80000-11:2008);Version anglaise EN ISO 80000-11:2013,Traduction anglaise de DIN EN ISO 80000-11:2013-08www.beuth.deDocument comprises pagesIn case of doubt, the Germa
4、n-language original shall be considered authoritative.1708.13 DIN EN ISO 80000-11:2013-08 2 A comma is used as the decimal marker. National foreword The text of ISO 80000-11:2008 has been prepared by Technical Committee ISO/TC 12 “Quantities and units” (Secretariat: SIS, Sweden) and has been taken o
5、ver as EN ISO 80000-11:2013 by the CEN Technical Board (BT). The responsible German body involved in its preparation was the Normenausschuss Technische Grundlagen (Fundamental Technical Standards Committee), Working Committee NA 152-01-09-02 AK Kenngren. ISO 80000 consists of the following parts, un
6、der 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
7、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 physiolog
8、y The DIN Standards corresponding to the International Standards referred to in Clause 2 of this document are as follows: IEC 80000-6 DIN EN 80000-6 ISO 80000-3 DIN EN ISO 80000-3 ISO 80000-4 DIN EN ISO 80000-4 ISO 80000-5 DIN EN ISO 80000-5 ISO 80000-8 DIN EN ISO 80000-8 ISO 80000-9 DIN EN ISO 8000
9、0-9 )The title of the second edition of ISO 80000-2 will be shortened to read Mathematics. DIN EN ISO 80000-11:2013-08 3 National Annex NA (informative) Bibliography DIN EN 80000-6, Quantities and units Part 6: Electromagnetism DIN EN 80000-13, Quantities and units Part 13: Information science and t
10、echnology DIN EN 80000-14, Quantities and units Part 14: Telebiometrics related to human physiology DIN EN ISO 80000-1, Quantities and units Part 1: General DIN EN ISO 80000-2, Quantities and units Part 2: Mathematical signs and symbols to be used in the natural sciences and technology DIN EN ISO 80
11、000-3, Quantities and units Part 3: Space and time DIN EN ISO 80000-4, Quantities and units Part 4: Mechanics DIN EN ISO 80000-5, Quantities and units Part 5: Thermodynamics DIN EN ISO 80000-7), Quantities and units Part 7: Light DIN EN ISO 80000-8, Quantities and units Part 8: Acoustics DIN EN ISO
12、80000-9, Quantities and units Part 9: Physical chemistry and molecular physics DIN EN ISO 80000-10, Quantities and units Part 10: Atomic and nuclear physics DIN EN ISO 80000-12, Quantities and units Part 12: Solid state physics )In preparation. DIN EN ISO 80000-11:2013-08 4 This page is intentionall
13、y blank EUROPEAN STANDARD NORME EUROPENNE EUROPISCHE NORM EN ISO 80000-11 April 2013 ICS 01.060 English Version Quantities and units - Part 11: Characteristic numbers -11:2008) (ISO 80000Grandeurs et units - Partie 11: Nombres caractristiques (ISO 80000-11:2008) This European Standard was approved b
14、y CEN on 14 March 2013. CEN and CENELEC members are bound to comply with the CEN/CENELEC Internal Regulations which stipulate the conditions for giving this European Standard the status of a national standard without any alteration. Up-to-date lists and bibliographical references concerning such nat
15、ional standards may be obtained on application to the CEN-CENELEC Management Centre or to any CEN and CENELEC member. This European Standard exists in three official versions (English, French, German). A version in any other language made by translation under the responsibility of a CEN and CENELEC
16、member into its own language and notified to the CEN-CENELEC Management Centre has the same status as the official versions. CEN and CENELEC members are the national standards bodies and national electrotechnical committees of Austria, Belgium, Bulgaria, Croatia, Cyprus, Czech Republic, Denmark, Est
17、onia, Finland, Former Yugoslav Republic of Macedonia, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland, Portugal, Romania, Slovakia, Slovenia, Spain, Sweden, Switzerland, Turkey and United Kingdom. CEN-CENELEC Management Cen
18、tre: Avenue Marnix 17, B-1000 Brussels 2013 CEN/CENELEC All rights of exploitation in any form and by any means reserved worldwide for CEN national Members and for CENELEC Members. Ref. No. EN ISO 80000-11:2013 E Gren und Einheiten - Teil 11: Kenngren der Dimension Zahl (ISO 80000-11:2008) Contents
19、DIN EN ISO 80000-11:2013-08 EN ISO 80000-11:2013 (E) 2 PageForeword 3Introduction . 41 Scope 52 Normative references 53 Names, symbols, and definitions . 54 Momentum transport . 65 Transport of heat . 86 Transport of matter in a binary mixture . 107 Constants of matter . 128 Magnetohydrodynamics 13F
20、oreword The text of ISO 80000-11:2008 has been prepared by Technical Committee ISO/TC 12 “Quantities and units” This European Standard shall be given the status of a national standard, either by publication of an identical text or by endorsement, at the latest by October 2013, and conflicting nation
21、al standards shall be withdrawn at the latest by October 2013. Attention is drawn to the possibility that some of the elements of this document may be the subject of patent rights. CEN and/or CENELEC shall not be held responsible for identifying any or all such patent rights. According to the CEN-CE
22、NELEC Internal Regulations, the national standards organizations of the following countries are bound to implement this European Standard: Austria, Belgium, Bulgaria, Croatia, Cyprus, Czech Republic, Denmark, Estonia, Finland, Former Yugoslav Republic of Macedonia, France, Germany, Greece, Hungary,
23、Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland, Portugal, Romania, Slovakia, Slovenia, Spain, Sweden, Switzerland, Turkey and the United Kingdom. Endorsement notice The text of ISO 80000-11:2008 has been approved by CEN as EN ISO 80000-11:2013 without any
24、modification. DIN EN ISO 80000-11:2013-08 EN ISO 80000-11:2013 (E) 3 of the International Organization for Standardization (ISO) and has been taken over as EN ISO 80000-1 :2013. 1Introduction0.1 Arrangements of the tablesAll characteristic numbers are quantities of dimension one. Hence the coherent
25、unit of all characteristicnumbers 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 thepreceding edition is shown in parenthesis under the new number for the quantity; a da
26、sh is used to indicate thatthe item in question did not appear in the preceding edition.0.2 Tables of quantitiesThe names in English and in French of the most important quantities within the field of this document are giventogether with their symbols and, in most cases, their definitions. These name
27、s and symbols arerecommendations. The definitions are given for identification of the quantities in the International System ofQuantities (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
28、is needed for thedefinitions.In most cases, only one name and only one symbol for the quantity are given; where two or more names or twoor 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 w
29、ith and ; and ; a and ; g and ), only one of theseis given. This does not mean that the other is not equally acceptable. It is recommended that such variantsshould not be given different meanings. A symbol within parenthesis implies that it is a reserve symbol, to beused when, in a particular contex
30、t, 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. Thegender of the French name is indicated by (m) for masculine and (f) for feminine, immediately after the noun inthe French name.0.3 Rem
31、ark on units for quantities of dimension one, or dimensionless quantitiesThe 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 outexplicitly.EXA
32、MPLE 1 Refractive index Prefixes shall not be used to form multiples or submultiples of this unit. Instead of prefixes, powers of 10 arerecommended.EXAMPLE 2 Reynolds number Considering that plane angle is generally expressed as the ratio of two lengths and solid angle as the ratio oftwo areas, in 1
33、995 the CGPM specified that, in the SI, the radian, symbol rad, and steradian, symbol sr, aredimensionless derived units. This implies that the quantities plane angle and solid angle are considered asderived quantities of dimension one. The units radian and steradian are thus equal to one; they may
34、either beomitted, or they may be used in expressions for derived units to facilitate distinction between quantities ofdifferent kind but having the same dimension. a gn = 1,53 1 = 1,53Re = 1,32 103DIN EN ISO 80000-11:2013-08 EN ISO 80000-11:2013 (E) 4 1ScopeISO 80000-11 gives the names, symbols and
35、definitions for characteristic numbers used in the description oftransport phenomena.2 Normative referencesThe following referenced documents are indispensable for the application of this document. For datedreferences, only the edition cited applies. For undated references, the latest edition of the
36、 referenced document(including any amendments) applies.ISO 80000-3:2006, Quantities and units Part 3: Space and timeISO 80000-4:2006, Quantities and units Part 4: MechanicsISO 80000-5:2007, Quantities and units Part 5: ThermodynamicsIEC 80000-6:2008, Quantities and units Part 6: ElectromagnetismISO
37、80000-8:2007, Quantities and units Part 8: AcousticsISO 80000-9: , 1) N1)Quantities and units Part 9: Physical chemistry and molecular physics3 Names, symbols, and definitionsThe names, symbols, and definitions for characteristic numbers are given on the following pages.1) To be published. (Revision
38、 of ISO 31-8:1992)DIN EN ISO 80000-11:2013-08 EN ISO 80000-11:2013 (E) N1) National footnote: Already published as ISO 80000-9:2009 + Amd 1:2011. 5 4 Momentum transportItem No. Name Symbol Definition Remarks11-4.1(12-1)Reynolds numberfr nombre (m) deReynoldswhere is mass density (ISO 80000-4:2006, i
39、tem 4-2), is speed (ISO 80000-3:2006, item 3-8.1),is length (ISO 80000-3:2006, 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 numberfr nombre (m)dEulerwhere is pressure (ISO 80000-4:2006, item 4-15.1), is mas
40、s density (ISO 80000-4:2006, item 4-2), and is speed (ISO 80000-3:2006, 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 numberfr nombre (m) deFroudewhere is speed (ISO 80000-3:2006, item 3-8.1), is lengt
41、h (ISO 80000-3:2006, item 3-1.1), andis acceleration 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 numberfr nombre (m) deGrashofwhere is length (ISO 80000-3:2006, ite
42、m 3-1.1), 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), and is kinematic viscosity (ISO 80000-4:2006, item 4-24)11-4.5(12-5)Weber numberfr nombre (m) deWeberwhere i
43、s mass density (ISO 80000-4:2006, item 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)ReRe =vl=vlvlEuEu =pv2pvFrFr =vlgvlgGrGr =l3gT2lgTWeWe=v2lvlDIN EN ISO 80000-11:2013-08 EN ISO 80000-11:2013 (
44、E) 6 Item No. Name Symbol Definition Remarks11-4.6(12-6)Mach numberfr nombre (m) deMachwhere is speed (ISO 80000-3:2006, item 3-8.1) and is speed of sound (ISO 80000-8:2007, item 8-14.1)11-4.7(12-7)Knudsen numberfr nombre (m) deKnudsenwhere is mean free path (ISO 80000-9: , item 9-38) andis length (
45、ISO 80000-3:2006, item 3-1.1)11-4.8(12-8)Strouhal numberfr nombre (m) deStrouhalwhere is length (ISO 80000-3:2006, item 3-1.1), is frequency (ISO 80000-3:2006, item 3-15.1),and is speed (ISO 80000-3:2006,item 3-8.1)(concluded)MaMa = v/cvcKnKn = /llSrSr = lf/vlfvDIN EN ISO 80000-11:2013-08 EN ISO 800
46、00-11:2013 (E) N2)N2) National footnote: Already published as ISO 80000-9:2009 + Amd 1:2011. 7 5 Transport of heatItem No. Name Symbol Definition Remarks11-5.1(12-9)Fourier numberfr nombre (m) deFourierwhere is thermal conductivity (ISO 80000-5:2007, item 5-9), is time (ISO 80000-3:2006, item 3-7),
47、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 length (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 numberfr nombre (m) dePcletwhere is mass density (ISO 800
48、00-4:2006, item 4-2), is specific heat capacity at constant pressure (ISO 80000-5:2007, item 5-16.2), is speed (ISO 80000-3:2006, 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 numberfr nombre (m) deRayleighwhere is length (ISO 80000-3:2006, item 3-1.1), is mass density (ISO 80000-4:2006, item
