1、ICS01.060NOCOPYINGWITHOUTBSI PERMISSION EXCEPT ASPERMITTEDBY COPYRIGHT LAWBRITISHSTANDARDQuantitiesandunitsPart11:CharacteristicnumbersBS EN ISO 80000-11:2013National forewordThis British Standard is the UK implementation of EN ISO 80000-11:2013. It is identical to ISO 80000-11:2008. It supersedes B
2、S ISO 80000-11:2008, which is withdrawn.The UK participation in its preparation was entrusted to Technical Committee SS/7, General metrology, quantities, units and symbols.A list of organizations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 purp
3、ort 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.BS EN ISO 80000-11:2013This British Standard was published under the authority of the Standards Policy and Str
4、ategy Committee on 31 March 2009 The British Standards Institution 2013. Published by BSI Standards Limited 2013Amendments/corrigenda issued since publicationDate Comments 30 June 2013 This corrigendum renumbers BS ISO 80000-11:2008 as BS EN ISO 80000-11:2013ISBN 978 0 580 79025 6EUROPEAN STANDARD N
5、ORME EUROPENNE EUROPISCHE NORM EN ISO 80000-11 April 2013 ICS 01.060 English Version Quantities and units - Part 11: Characteristic numbers (ISO 80000-11:2008) Grandeurs et units - Partie 11: Nombres caractristiques (ISO 80000-11:2008) Gren und Einheiten - Teil 11: Kenngren der Dimension 1 (ISO 8000
6、0-11:2008) This European Standard was approved by CEN on 14 March 2013. CEN 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 bibliograp
7、hical references concerning such national standards may be obtained on application to the CEN-CENELEC Management Centre or to any CEN member. This European Standard exists in three official versions (English, French, German). A version in any other language made by translation under the responsibili
8、ty of a CEN member into its own language and notified to the CEN-CENELEC Management Centre has the same status as the official versions. CEN members are the national standards bodies of Austria, Belgium, Bulgaria, Croatia, Cyprus, Czech Republic, Denmark, Estonia, Finland, Former Yugoslav Republic o
9、f 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. EUROPEAN COMMITTEE FOR STANDARDIZATION COMIT EUROPEN DE NORMALISATI
10、ON EUROPISCHES KOMITEE FR NORMUNG Management Centre: Avenue Marnix 17, B-1000 Brussels 2013 CEN All rights of exploitation in any form and by any means reserved worldwide for CEN national Members. Ref. No. EN ISO 80000-11:2013: EForeword The text of ISO 80000-11:2008 has been prepared by Technical C
11、ommittee ISO/TC 12 “Quantities and units” of the International Organization for Standardization (ISO) and has been taken over as EN ISO 80000-11:2013. 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
12、by October 2013, and conflicting national 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
13、 patent rights. According to the CEN-CENELEC 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 Macedo
14、nia, France, Germany, Greece, Hungary, 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 C
15、EN as EN ISO 80000-11:2013 without any modification. BS EN ISO 80000-11:2013 ISO 80000-11:2013 (E) ISO 2013 All rights reservediiiContents PageForeword ivIntroduction. v1Scope 12Normative references 13Names, symbols, and definitions . 14Momentum transport. 25Transport of heat . 46Transport of matter
16、 in a binary mixture . 67Constants of matter. 88Magnetohydrodynamics 9BS EN ISO 80000-11:2013 ISO 80000-11:2013 (E) ISO 2013 All rights reservedivForewordISO (the International Organization forStandardization) is a worldwide federation of national standards bodies(ISO member bodies). The work of pre
17、paring International Standards is normally carried out through ISOtechnical committees. Each memberbody interested in a subject for which a technical committee has beenestablished has the right to be represented on that committee.International organizations,governmental an dnon-governmental, in liai
18、son with ISO, also take part in the work. ISO collaborates closely with the InternationalElectrotechnical Commission (IEC)on all matters of electrotechnical standardization.International Standards are drafted in accordance with the rules given in the ISO/IEC Directives, Part2.The main task of techni
19、cal committees is to prepare International Standards. Draft International Standardsadopted by the technical committees are circulated to the member bodies for voting. Publication as anInternational Standard requires approval by at least 75% of the member bodiescasting a vote.Attentionis drawn tothe
20、possibilitythat someof the elements of this documentmay bethe subjectofpatentrights. ISO shall not be held responsible for identifying any or all such patent rights.ISO80000-11 was prepared by Technical Committee ISO/TC12,Quantities, units, symbols, conversion factorsin co-operation with IEC/TC25, Q
21、uantities and units.This first edition of ISO80000-11 cancelsand replaces the third edition of ISO31-12:1992 andISO31-12:1992/Amd.1:1998. The major technical changes from the previo us standard are the following:the normative references have been changed.ISO80000 consists of the following parts, und
22、er the general title Quantities and units: Part1:General Part2:Mathematical signs and symbols to be used in the natural sciences and technology Part3:Space and time Part4:Mechanics Part5:Thermodynamics Part7:Light Part8:Acoustics Part9:Physical chemistry and molecular physics Part10:Atomic and nucle
23、arphysics Part11:Characteristic numbers Part12:Solid state physicsIEC80000 consists of the following parts, under the general title Quantities and units: Part6:Electromagnetism Part13:Information science and technology Part14:Telebiometrics related to human physiologyBS EN ISO 80000-11:2013 ISO 8000
24、0-11:2013 (E) ISO 2013 All rights reservedvIntroduction0.1 Arrangements of the tablesAllcharacteristic numbers are quantities of dimension one. Hence the coherent unit of all characteristicnumbersis the numberone, symbol1. Thisunit is not repeated in the following tables.Where the numbering of an it
25、em has been changed inthe revision of a part of ISO31, the number inthepreceding edition isshown in parenthesis under the new number for the quantity; a dash is used to indicate thatthe item in question did not appear in the preceding edition.0.2 Tables of quantitiesThe names inEnglish and in French
26、 of the most important quantities within the fieldof thisdocument aregiventogether with their symbols and, in most cases, their definitions. These names and symbolsarerecommendations. The definitions aregiven foridentification of the quantities inthe International System ofQuantities (ISQ), listed i
27、n 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 thedefinitions.In most cases, only one name and only one symbol for the quantity are given; where two ormore names or twoor moresymbols are
28、 given for one quantity and no special distinction ismade,they are on an equal footing.When two types of italic letters exist (for example as with and ; and ; a and ; gand ), only oneof theseis given. This does not mean that the other isnot equally acceptable. It is recommended that such variantssho
29、uld not begiven different meanings. Asymbol within parenthesis implies that it is a reserve symbol, to beused when, in a particular context, the main symbol is in use with a different meaning.In this English edition, thequantity names in Frenchareprinted inan italic font, and are preceded byfr. Theg
30、ender of the French name is indicated by (m) for masculine and (f) for feminine, immediately afterthe noun inthe French name.0.3 Remark on units for quantities of dimension one, or dimensionless quantitiesThe coherent unit for any quantity of dimension one,alsocalled a dimensionless quantity, is the
31、 numberone,symbol1. When the value of such a quantity is expressed, the unit symbol1 is generally not written outexplicitly.EXAMPLE1 Refractive indexPrefixesshallnot beused to form multiples or submultiples of thisunit. Insteadof prefixes, powers of 10 arerecommended.EXAMPLE2 Reynolds number Conside
32、ring that planeangle is generally expressed as the ratio of two lengths and solid angle as the ratio oftwo areas, in 1995 theCGPM specified that, inthe SI, the radian, symbolrad, and steradian, symbol sr, aredimensionless derived units. This implies that the quantities plane angle and solid angle ar
33、e considered asderived quantities of dimension one. The units radian and steradian are thus equal to one; theymay either beomitted, or theymay be used in expressions for derived units to facilitate distinction between quantities ofdifferent kind but having the same dimension. agn = 1,53 1 = 1,53Re=
34、1,32 103BS EN ISO 80000-11:2013 ISO 80000-11:2013 (E) ISO 2013 All rights reservedvi INTERNATIONAL STANDARD1Quantities and unitsPart11:Characteristic numbers1ScopeISO80000-11 gives the names, symbols anddefinitions for characteristicnumbers usedin thedescription oftransport phenomena.2Normative refe
35、rencesThe 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 referenced document(including any amendments) applies.ISO80000-3:2006, Quantities and units Part3: S
36、pace and timeISO80000-4:2006, Quantities and units Part4: MechanicsISO80000-5:2007, Quantities and units Part5: ThermodynamicsIEC80000-6:2008, Quantities and units Part 6: ElectromagnetismISO80000-8:2007, Quantities and units Part8: AcousticsISO80000-9:1), Quantities and units Part9: Physical chemis
37、try and molecu lar physics3Names, symbols, and definitionsThe names, symbols, and definitions forcharacteristic numbers are given on the following pages.1) To be published. (Revision of ISO31-8:1992)BS EN ISO 80000-11:2013 ISO 80000-11:2013 (E) ISO 2013 All rights reserved24Momentum transportItem No
38、. Name Symbol Definition Remarks11-4.1(12-1)Reynolds numberfrnombre (m) deReynoldswhere is mass density(ISO80000-4:2006, item 4-2), isspeed (ISO80000-3:2006, item 3-8.1),is length (ISO80000-3:2006, item3-1.1), is dynamic viscosity(ISO80000-4:2006, item 4-23), and iskinematic viscosity (ISO80000-4:20
39、06, item 4-24)11-4.2(12-2)Euler numberfrnombre (m)dEulerwhere is pressure(ISO80000-4:2006, item 4-15.1), ismass density (ISO80000-4:2006, item 4-2), and is speed(ISO80000-3:2006, item 3-8.1)Sometimes the double of the Euler number asdefinedhere is called theEuler number. That definition is deprecate
40、d.11-4.3(12-3)Froude numberfrnombre (m) deFroudewhere is speed (ISO80000-3:2006, item 3-8.1), islength(ISO80000-3:2006, item 3-1.1), andis acceleration of free fall(ISO80000-3:2006, item 3-9.2)Sometimesthe square of the Froude number asdefinedhere is called theFroude number. That definition is depre
41、cated.11-4.4(12-4)Grashof numberfrnombre (m) deGrashofwhere is length (ISO80000-3:2006, item 3-1.1), is acceleration of free fall(ISO80000-3:2006, item 3-9.2), iscubic expansion coefficient (ISO80000-5:2007, item 5-3.2),is thermodynamic temperature (ISO80000-5:2007, item 5-1), and iskinematic viscos
42、ity (ISO80000-4:2006, item 4-24)11-4.5(12-5)Weber numberfrnombre (m) deWeberwhere is mass density(ISO80000-4:2006, item 4-2), isspeed (ISO80000-3:2006, item 3-8.1),is length (ISO80000-3:2006, item3-1.1), and issurface tension (ISO80000-4:2006, item 4-25)(continued)Re Re = vl =vlvlEu Eu= pv2pvFr Fr=
43、vlgvlgGr Gr = l 3 g T 2lgTWe We= v2 lvlBS EN ISO 80000-11:2013 ISO 80000-11:2013 (E) ISO 2013 All rights reserved3Item No. Name Symbol Definition Remarks11-4.6(12-6 )Mach numberfrnombre(m) deMach where is speed (ISO80000-3:2006, item 3-8.1) and is speed of sound (ISO80000-8:2007, item 8-14.1)11-4.7(
44、12-7 )Knudsen numberfrnombre(m) deKnudsen where is mean free path (ISO80000-9:, item 9-38) andis length (ISO80000-3:2006, item3-1.1)11-4.8(12-8 )Strouhal numberfrnombre(m) deStrouhal where is length (ISO80000-3:2006,item 3-1.1), is frequency (ISO80000-3:2006, item 3-15.1),and is speed (ISO80000-3:20
45、06,item 3-8.1)(concluded)Ma Ma= v/cvcKn Kn= /llSr Sr = lf/vlfvBS EN ISO 80000-11:2013 ISO 80000-11:2013 (E) ISO 2013 All rights reserved45Transport of heatItem No. Name Symbol Definition Remarks11-5.1(12-9)Fourier numberfrnombre(m) deFourierwhere is thermal conductivity (ISO80000-5:2007, item 5-9),
46、is time(ISO80000-3:2006, item 3-7), isspecific heat capacity at constant pressure (ISO80000-5:2007, item 5-16.2), is mass density(ISO80000-4:2006, item 4-2), islength (ISO80000-3:2006, item 3-1.1), and is thermal diffusivity(ISO80000-5:2007, item 5-14)11-5.2(12-10 )Pclet numberfrnombre (m) dePcletwh
47、ere is mass density(ISO80000-4:2006, item 4-2), isspecific heat capacity at constant pressure (ISO80000-5:2007, item 5-16.2),is speed (ISO80000-3:2006,item 3-8.1), islength(ISO80000-3:2006, item 3-1.1), isthermal conductivity(ISO80000-5:2007, item 5-9), and isthermal diffusivity (ISO80000-5:2007, it
48、em 5-14)11-5.3(12-11 )Rayleigh numberfrnombre (m) deRayleighwhere is length (ISO80000-3:2006, item 3-1.1), is mass density (ISO80000-4:2006, item 4-2), isspecific heat capacity at constant pressure (ISO80000-5:2007, item 5-16.2), isacceleration of free fall(ISO80000-3:2006, item 3-9.2), iscubic expa
49、nsion coefficient (ISO80000-5:2007, item 5-3.2), isthermodynamic temperature (ISO80000-5:2007, item 5-1),isdynamic viscosity (ISO80000-4:2006, item 4-23), is thermal conductivity(ISO80000-5:2007, item 5-9), iskinematic viscosity (ISO80000-4:2006, item 4-24), and is thermal diffusivity(ISO80000-5:2007, item 5-14)(continued)Fo Fo= tc p l2 =atl 2tc plaPe Pe= cp vl =vlac pvlaPe= Re PrRa Ra = l 3 2 c p g T =l 3 g
