NRC Publications Archive Archives des publications du CNRC

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1 NRC Publications Archive Archives des publications du CNRC Heat, air and moisture transfer terminology: parameters and concepts Radu, Adrian; Barreira, Eva; Saber, Hamed; Hens, Hugo; Vinha, Juha; Vasilache, Maricica; Bomberg, Mark; Koronthalyova, Olga; Matiasovsky, Peter; Becker, Rachel; Kalamees, Targo; Peixoto de Freitas, Vasco; Maref, Wahid Publisher s version / Version de l'éditeur: CIB Publication, NRC Publications Record / Notice d'archives des publications de CNRC: Access and use of this website and the material on it are subject to the Terms and Conditions set forth at READ THESE TERMS AND CONDITIONS CAREFULLY BEFORE USING THIS WEBSITE. L accès à ce site Web et l utilisation de son contenu sont assujettis aux conditions présentées dans le site LISEZ CES CONDITIONS ATTENTIVEMENT AVANT D UTILISER CE SITE WEB. Questions? Contact the NRC Publications Archive team at PublicationsArchive-ArchivesPublications@nrc-cnrc.gc.ca. If you wish to the authors directly, please see the first page of the publication for their contact information. Vous avez des questions? Nous pouvons vous aider. Pour communiquer directement avec un auteur, consultez la première page de la revue dans laquelle son article a été publié afin de trouver ses coordonnées. Si vous n arrivez pas à les repérer, communiquez avec nous à PublicationsArchive-ArchivesPublications@nrc-cnrc.gc.ca.

2 Publication 369 Heat, Air and Moisture Transfer Terminology Parameters and Concepts

3 ABCDE DFB CC BD AC D ABCBDEFCACBDADED AECAE BACEAACB ABBAB

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5 D E C CBD A BCDE DF B CC!D CC"D D AAD ACF ACEB D#DB CAEC DC$AA %CD %&'%CBBDDC ()*) A CDE DF 'EA D A C DEBBD %CBBDDC $DD DFCBC +,+#%- ADEA DFCEDCF D ACEB # & %. C BD A C D D A AF C CA C E A DB C/D0 A E /D0 CBBC EDA C AD # 1 %*DDF ACEB D2" CC DAC CA$C DACEB #

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8 E! "# %&' D C B CF &454&347 %34%& % 46 &4438&34 &4 '&76&49 46 %34%&34# %&' 2D D DA +:. D DDCC 2CD C ;$D2CDBE AF C CCC A FCBC! 2 C$ B D DED EA AC DEC DC2 BDDC CD DED A FADCFD# %&'DD A$CA C2CA2A 2C"CFC$:)))!DFCB CE:)) BB C <C D2DE $D AEDCC$ B "CE A2C C$$ DDCFD A C$C FC EA AC DEC # %&'%CBBDDC D2CA2A 2C"CF!D AF AD F2CB E A! FCBC C $CE DD#DCC ;$D A2C" CBBCF%CBBDDC AF A DBB D ACFFC$A %&' CBB %CBB# %CBBDDC D $ D C %CCA C 2C D C A DBB D A %&'CBB%CBB# %CBBDDC ()*) ACDE DF 'EA DDC CF%&'DCAD CED A2DCFFA +,+2 FDB CEA ' 9B # 'B%CCA C2D'C 8CDFCB4 AD#& +=.AE 7E$ B 'C 8CDD A AEC DFCB'EB2DA#CC B ++.& BBEDC FCB2A B 2CCA C# -))=F %C B %CCA CCF()*) ACDE DF 'EA DD 8DC!CCA1DFCB $DCFCCCE# $! %35 %CBBDDC ()*)DDD C A2 CB A2 A BCDE DF EA D A CE DDBC CF" C2A CAD C DEC AB B CF EA D#DD $ACD 2C"B D2 FCBC DADEDDA AFB D DAC D> DEC D ACE D# *

9 B C C!C CB CF BCDE A DD DF EA D CBC D C AF BDE A ADEDD CB CD CF BD A EA CBC CADEDDCBA$ C DDDEAD# 5'5 %CBBDDC ()*) D BCB CE A,) BB D FCB ED 'EB % A % 6 B" 5DC 1 A 9B & A & &D & 7E 4 AD 42 B A 4 C A CE CB C$" EA 2A 2< A A 5BD A AC ACB# B DCFD(C" %CBBDDC $C D $CF%&'B 3 DC C & A$AE%&'B #A 2C" CA B D#BB DBED$ ()*)DDB DD C2 D A" ADEDDC D#& AAC BB DBEDC$A FCBC C 2C"CF()*) CBCE D ADC"()*) FCBACFE D CDCE D# %&'()*)2DAD$DC D AD EDA CBCED C EC $ C%CBBDDC $D B'C 8CDEC D"'CB A 5BC#C DDCCA CDCBB D2 ADDD C D2C" CE AC$CCDAC ;$DC D# '7&%&34 DE C DFCC2? 5 &75 531'7&%&34 +E: +=+ FE DDB CD AE DFC ADC CF ABCDE DF EA D?%C $DC FCD+E: CA DCF()*) 8C '%% A+=+ C CA D :

10 5 &75 531'7&%& : ++E +++ CA DCF()*) 7E A 2A ++ CA DCF()*) CC E ++. CDEC BD 'EA CA DCF & C BCDEB CC CE++: ACDE DF 'EA DG ED ACA DCF()*) CCCH ++E ACDE DF 'EA DCF()*) E%< E +++ CA D CA D CA D CA D CA D -))* %&'()*)%C F DCF()*) CA D 9DC2 AC ACB-))* 55&49I%341554%5 +,+%&'()*)CBBDDC C <AFCC2 B DIC F D AFF DC$2CA? %&34 +,+ +E +E- +E. +E* +E, +E= %&'%CBBDDC C A CDE DF 'EA D %&'%CBBDDC C A CDE DF 'EA D %&'%CBBDDC C A CDE DF 'EA D %&'%CBBDDC C A CDE DF 'EA D %&'%CBBDDC C A CDE DF 'EA D C ;E C 2- ABCDEBC CDE C BD 'EA D %&'%CBBDDC C A CDE DF 'EA D %&'%CBBDDC C A CDE DF 'EA D ' 9B 7E A2A C<" 9B 'B B A C ACB CAB4 AD (D C A D C AB4C2,

11 %&34 += +=. +=: +=E += : ++E +++ -)) -))* -)), -))= -))+ %&'%CBBDDC C A CDE DF 'EA D %&'%CBBDDC C A CDE DF 'EA D %&'%CBBDDC C A CDE DF 'EA D %&'%CBBDDC C A CDE DF 'EA D %&'%CBBDDC C A CDE DF 'EA D %&'%CBBDDC C A CDE DF 'EA D %&'%CBBDDC C A CDE DF 'EA D %&'%CBBDDC C A CDE DF 'EA D C ;E C 2BCDEBC CDEC BD 'EA (D %&'%CBBDDC C A CDE DF 'EA D %&'%CBBDDC C A CDE DF 'EA D %&'%CBBDDC C A CDE DF 'EA D C ;E C 2:%&'(CA'EA %C DD %&'%CBBDDC C A CDE DF 'EA D %&'%CBBDDC C A CDE DF 'EA D C ;E C 2-)),'EA 1CEB %&'%CBBDDC C A CDE DF 'EA D C ;E C 2=4CABCDEBC 'EA DD %&'%CBBDDC C A CDE DF 'EA D C ;E C 2*& C 'EA DD %C F CDCB6 B" 7E$ 'EB C<" 9B 'CJD2A 8C% A 7E A2A CC E CCCE CCCH E%<E ( C 42B A 9DC2 AC ACB ED AD %C 6 B" &D EE" E

12 %&34 -)) -) -)- %&'%CBBDDC C A CDE DF 'EA D C ;E C 2%C F 'EA DK&GB FCB CF5!C5 $CDCF(C 'EA D %&'%CBBDDC C A CDE DF 'EA D C ;E C 2+4CABCDEBC 'EA DD %&'%CBBDDC C A CDE DF 'EA D C ;E C 2:& C 'EA DD %C F %2'1CA AD B1 A CCCH =

13 A A BCDB EB +

14 %&'()*) CBBDDC DA -))+/&D E B 0 C A$C ACEB 2 CBA A BCDE DF B CC!D CC"D D AAD A C F ACEB D# D 2 L A CDE DF B CC BD A %C DLDDDB<A2FCC2 DEE? D CEB BCC D AA CAA - A CEB AF C CFBIC DD AA. A CEB DB C/D0CBBC EDAD/0ADAA * CEB E /D0CBBC EDAD/0ADAA : CEB F ACEB D AA# ($CE DDE CFCBCDDDE!A 2$CE# ν M.NM:N M=NM:N $A%FABABFC% DDEDE FCBD CFB!BEBCDD 2 $CEC #8CE DEC DDEDFE C CF BE#& CDDC CBDFE C CFOE$ CAB# νd MENM=N &D!ADACEB B $AC EC FCDDB<C CF " C2AC ABCDE DFB CC# )

15 B FEBBA BFA

16 DC DCC CFF CF2 I 8 C 1C CF A A D DC A? α = Φ Φ 2Φ DA FC2 A ( AΦ DA FC2 DC A (# &DCFF OE FD BCE CF2 CCCED BAEC DCC 2 D DEFD AC 2OEA 2# DCC CFF CF2D AF A FCC2 C? BD 2 = 2B D DBDDCFDC A BCDEFCB2DEF E CFC "IB - AD B D# BCDDBDCD FC2CDDE ADDE A # FC2A$AA ACC $CEBCFACB? α G MNM.NMEN M=NMN 2 "I/B - PD I- 0 M-NMEN M:N M=N D G A G MNMENM+N = 8 2 DFC2 B. ID CB. I A8D$CEB B. # G = B D $CEB OE$ C ACC$CEBD! A2FDCEACC CE# FC2 DDC$CEBCF DFAC CFCBDDBIACB E BD AEA DDEAFF EDA 2 A D"FFCB DDBD# A8 A B. IDAB. I "ID MNMEN M:N -

17 CB&FAF'AB () FC2E # DDCF DCAE CF BCDDE CFDEF AECAC CF FC2# FC2A DD$C# FC2DD CCFB? B B DEC A = C FC2DD CFDF B DC A$A FCBOEC? A = " 2AD" DDCF B A" DDB "I/BPDP0# A DCFFC2C E A CFDDE AC CFFC2# C 2 A DCFFC2 ADDEAFF CDD CE A DEFDE A G6DADC AC D# 6F A FCC2 C? = C ( - ) 2 DA DCFFC2 B. I/B - PD0PC "I/B - PD0 A A - DDED C DACFD # G1C" G1CBCF;C A" G1CE DEFCFF C 2 E C AB!BEBCDD C # A$ B AB B. I/B - PD0 B. I/B - P0 "I/B - PD0 B - PDPIB. B - PDPI" " "I/BPDP0 B. I/BPDP0 C B. I/DP0 C "I/DP0 B. I/BPDP0 C "I/BPDP0 B. I/B - PDP0 C "I/B - PDP0 MNM:N M,N M:N MNM,N MNM:N M,N QAG M=N.

18 '" CA '" CA! &A CA DC D A AC A A CF2$ AC AC<C # $ BE " CA BDB!BEBB FC2$ /B!BEB D! 0# 5!DDA F G'C<B 2? * C = σ 2σDF G'C<B C D /σr:#,e!) G= (I/B - PC * 00 AD DCEBECF " CA C# A*+,FD&% *BA )BAC* G 5!DDA ">D22 C D C2$ A λ DCEBECF " CA? C λ : % λ = % -! λ 2 -, - % = - π % =.#E* ) ( IB ) % ) % - = = )#)*.== B C " G "C D "G'C<B C D % GDACFCB 2$D ) $EEB# E$ C = F ( λ ) λ 2B!BEB S B! A2 FC BE#S B! DFE C CF BE ECAE λ B! DC D /( >DTADB 2U0? λ = -#=+=. B! ) C C A λ B C BD BD# BDDC CF " CAD AF C AFFED##7 C A7 C λ MENM=N MN C (IB - MN C λ (IB. (I/B - PVB0 MN *

19 A A CFAC /7B >D20# C ADA CF " CA!DDAD? C C 7 = π C C λ 7 = λ π 'EA $C EA B /##2DCCFD0 DD ACC $C B FCBCEACC $C B # 'E"A D %DEC %DDFC CF BD C 2 A$ DF DDA$AA $CEBCEA B# +D CB&FD&-AB AG DDCFB. CFAB# T6BUACD C DD B TC$ AU#1CDDCF BB DDCAC D AD AAC AC DCF A DFABEC BE A# AFF 2 B DDECFC2 A DDEF2 E AA BE A BCDDDE2 C 2OE D$A D ACCBC DCF BC # %A. - D-?AEB2 ACD C DB FC CF A AC CE# DCC BDDC FC CF AC AADDEF CB # -/BAC%A CB- D-? BAEB 2 A AC DCDD$ EA DAB DCC C D C C# DCC D ABDDC CFAC E"/$CEB0 CB # A$CDCF COE CDBG D BAEB M=N ρ "IB. M-NM=N M)NM*N ρ ) "IB. M,N D M.NM:N MN :

20 %CCEA CAD FE C CF A AC >DD AAC AD EC CFBE# CBCOE ADBG D BAEBDCBC CED/## DCC0 ADCB C CED/## C GDCC0# 1CCCEA CADBDD$ DC$ AF$A A C 2$ /2DFE C CF BE0 AAC #1C BE AAC CCFF>D 2/εRα0D#7B >D2 C2$D CC D OED BDDC A A FCBAC #2$ DB AFFDFCB " CA#$BDD$ BEFCC2DFCB C 2 B CF CCEA CA ACF " CADBBE# CDBF DCCEA CAD C DAAD CAD E 2BEA A BDD$#1CB A A DC AFF BEDCCFF>D2 C C D#DDDFC B AC ADCAC # FCα Wε 7 2α DC 2$ DC$FCDE Aε 7 C 2$BDD$FCB AC # %C A DC D CF2$CE C OEA22EBA $CEBCFDEBA $CEBDEC /XR))Q0# CB BBA*FCD CABFCFD CC A DC CFBCDEC DEFD 2 BD DA EA CBC # A* *FCD CABFCFDC $CEC A DC C DEF CF EA CBC # M=N MENM=N,

21 6CF DEC 62C BE 6 E BE C 2 BCDE C CCEDB AD B!BEBBCDEC #% DC AF ADFC CFC CDFA2BCDE D CDDD FCBCDE# BE2BCD CBDDEABCD DDE#%C A DC CED BE C2A2C # BEBDEA BCBDAAFCAC # 6 B$DCD CCF$DCEDDDDD A $CA CB FC2# 5BDDC 5BDD$ CDD 2/FCB BCEC DDCCB C DCAD#0D DFCBA CCB 2$D# $EC CFBDDC CDCFBDDBA $C " CAA DBC AC DCFBE# & DCDA A C E ADEFDCF CA A$22$ AC CFBDDC ADEF BE# DEFD CBDB BCE CF D " CA DEF#C 2! CFDEF (IB - A C! CF " CA C (IB - DB BEAF DBDD$? ε = C 5 5!DD B FCBDDED 2C" # % ** C &5 A$AA BDDCFDDB/##DF 2C"DF DF 0# & DDB D 2 QAG M-NM=N M:NM,N Y A A Y Z% C Z% C MNM:N M:N η 4PDIB - M-NM=N MN ε G MNMEN MN H M-NM=N E HI" M=N E

22 C D$$CA CFD2 CFBCA B# 0-A& C &5 CFC2FEDC 2 DCED#!CA C &5 $A F# 5 BCA BC EAD AFC2 2C" ADAF AD? = + 8 2D H DDDE A8 $CEB B. # % ** CB1A%& E CFBDD# H M-NM=N HI" MNM=N! CB1A%& 9 H M-NM=N % ** CB1A%& HI" M=N 5! 9DAFFEDC CFF % ** CB1A%&F 2A%FABFC(*FCD CABFCF - BC(FC5 E BDDDAC DC AAE $CC IC A DC C B IDCAF 2CE BE# A FC2BA DEFE CFB DEF? Φ = CFDAFFEDC A DCE BE A CFD C C # 9DB CAECFDB A AEAD 2 DEFDCFFCF B# 9DB CFF CAECFAFFEDC CFF ADCE CFF # HI" M=N (IB - MENM=N MN 6 B - ID M:N " "I/BPDP0 B. I/BPDP0 M:N δ B - I/DP0 M:N =

23 9DB 9 CA DDCFDDD CEF CFBE CFB ADDEAFF #D CDEDAFCC CED BD AADDBD# BAC2CDBDD$D A A CF2$ # %CB A AEDD DF# FE 2 AD FCBCF#DD# OED$E AFIA2 BECF $CEBCFB D $EA CDDECFAA C BC$ OE CFAF H? AF % = A % **1 AB*A%A*B&FD& -AB AAAACBC$A 2 BECF E BDDCFAB C# % **1 AB*A%A*B&&F BD2DF DEAD? 2 = + *=E ) ρ) 22DBCDEC "IB. Aρ ) D E"A DCF AB "IB. # C$C DDEBD DFCF2D C D OEC*=EHI/"PC0# % **1 AB*A%A*B&AB *FCBACB% 1C A DD$ D? γ = γ 2DDC D HI/"PC0 AγDDF C# C "I/B - PDP0 B. I/B - PDP0 M:N M=NMN F H MNM-N M=NM+N % HIC M-NM+N ) HI/"PC0 HI/"PC0 MNM=N M+NM,N HI/"PC0 M+NM*N +

24 FC2 % **1 AB*A%A*B&AB *FCBACB2F- 1C AD D$ D? $ = γ 2DDC D AγD DFC# $F- B*1 AB*A%A*B&FD& -AB A6F AD / 0OEAC BECFE $CEBCFA B C# $F- B*1 AB*A%A*B&&F BD2$CEB DEAD? ρ = + *=E 2 ) ρ ) ) 22DBCDEC "IB. Aρ ) D E"A DCF AB "IB. # C$C DDEBD DFCF2D C D OEC*=EHI/"PC0# FE CF DFACC FCBDDBE B? AF Φ = A FC2DD# ADACB1 ABF'AB BCE CFA E CF B? $ HI/"PC0 M+N ρ ) ) ρ ) HI/B. PC0 HI/B. PC0 M,N Φ ( MENM=N M+NMN Φ ( M=N AF Φ = A CB&F1 ABF'AB F AB )FE CF DCA E CFBCDDE CF DEF AECFC2 AC #&BDC AF AD A$$CCF FC2? AΦ O = A FC2A DD$C# O (IB - MNMENM=N M+NM,N -)

25 DF CB&FC A1 ABF'AB FC2E? O AΦ = A CB&FADACB1 ABF'AB A FC2E CF DEF? AΦ O = A 5 DF C AEC C $C AC A FC2CCB C CFD# FCD*BFC5 DFA 2 $ CBDCA AF C DBC$C$#D DFA C AEC 2 DCADAFF BE C 2C 2 C DAFF BE 2 DBDCA2 FEAD A C 2 FEAD# %C AEC CEDFCBC C2BED ADBAEB AD CC D$ BCDCBC$B "AC# FC2 *BFC5 DFA ADB CFBCECED AFF BE#&D EC DOE CFBC$B ACEDCDCC 2 FEAD ADCAD#%C $C AF ADFCA E A B!AA A C 2 BC$B DEDA! FCAFF FEAA DC C#& FCAC $C!C DCEBCBCFC2FCB C2CBED#%C $C ADBAEB A OEAD A DD EADC AEC D DF 2 BCED CED C AEC # ADABFC DFEDA BDDC A DCC CF CB 2$D#5$DEF BE C$)CBD O (IB M+N O (IB - M=N MNM.NMEN M=NM+N MN -

26 CB #&FDEFD $AFF BED! DCED# DF CEAC ACD C A BAEB AFCC2DD2D 2A$DC FCB C AEC AC $C # CB1A%&F' DF "A CC $C EC DAD DCA DCFEA B BAEB# EBA BDDI EBAC DDCF2$CE2 E BDDCFA#DEC CC! D DEDA#! "I" M=NM:N EBA $CEBI8CE C C DDCF2$CE2 E $CEBCFDCEDB!E# EBA $CEBDDBD BDDA DCF2 $CEρ ν # DEC CC Dν D A ρ νd EDA# ν "IB. M=NM:N M,N CDC &D CF$EBA B 2 ) A+=Q# MENM=N CDC CBD &AD2 & BCDE!DD FDCCCFCCED BCADC BCDEFCB ACADC " C# BCCDCBD DBCDED# 6CB CF EA DDI EA D C A BDD DF EA D A CBC D# 'C A$CEC DAAC FCC2AD22D $ D? $ = 2DDDECFD $DBC$CEBCFD B. IBCD DCE BE C ADD C D /R=#.*.HI/BC[C00# ADADC AC D? CFBCDECAEC D9 "IDA$AA D G A$CEBCF MENM=N MENM=N MN ν "IB. M.N --

27 & D B CF CCEDBAEB D8 B.? 9 ν = ν ν = 8 2ν Aν EBAD $CEBCF EA >D ACC A CEACC# &DAF A FCC2 C? " = A η " B - M:N &A I &AC 2 D$CA DCF FC2 B. I/B - PD0DDDE AηDA B$DCD CF 4PDIB - # A FC2$A DEFE? Φ 5 = C B$DCD A B$DCDCFFEA A$AA DA D# 7C 2$ /D0 AC 7EB CD DDFC2 AC 22$.VBFCBDDEFD ABCD#! CFC 2$AC CEDB 2 EA DD $C B ABCD# C 2 A FC2 AC A DEFD FCB AC #7D$C# EB CDAD DC2 $ DEFDD B DEF# - A φ = CD 7 ( φ) A Aω OE CFBDD2BD E CFB# DDFC2DD# 5 (IB - MENM=N MN ν B - ID M-NM=N M:N 7 (I/B - PA0 M=N "ID M=N -.

28 DD DF AEB DDFC CB&F-AF'AB IEA )OE CFBDDFC2 E CFBCEE CF DEF AECFC2 AC # DDFC2A DD$C# DCCFBDD/D BCDEC0 $CED B DBD# CFBF%*- D-$ CDFE C CFAC # B F C F- D- $ CDFE C CF CDC BAEBAEC D CFADDBC DE D# F-F C F- D-$ CD CFE C CF CDC BAEB EB FE C CFBBE# F-F C F%FF- D- 7CCCDD A A CF CDC BAEB# FBF%*- D-$ CD CFE C CF AC EB FE C CF CDC BAEBCFB BE# 0FF- D-C CED BAEBAECD CFF AD EA$CAD DCAD# DBAEBB C DAAD CBC CEDFCCB BCA # BA, - D-$ CD CFE C CFB EB FE C CFCCA D AC BE# CCEDBA DE A$AA CA CCBCF DEE?!,F%FF- D-ACF C ECEDDD2DCA EDC D$ D ACB AB DC # #ACAFF - D-A B "I/B - PD0 M=NM:N M:N M)N -*

29 CDE CFC ECEDDD2DCA EDC D2CDDACD C $ACB AB DC # A%FF- D-ACF C ECEDDCAD2BC CDDDFAD EDC D# CB *FCC *B D%FF- D- ACFC ECEDDCAD C $D C A 2DCED DDDCC ECED# ( DCEDOEACDCA D# CDE % **-FB *A%A*B& D BDDCFBCDE E BDDCFBFCC2D FCBE D DEC # CDE C AE$E$ $F- B*-FB *A%A*B& % BCDEC E $CEBCFBFCC2D FCBE DEC # C 2 BCDE C AE$CFCCEDB A $EBACFB OE EBC A DC CABE A $EBA# CDEAFFED$ ( CDC BCDEAFFED$D ADFC C 2 $CEB A$CEBBCDE# 'C ACDC BCDEAFFED$D ADFC C 2 BCDEB A$CEBBCDE# CDEAFFED$DAF A FCC2 C? = 6 A D$CA DCF BCDEFC2 A2D BCDEC BDD$CEB# C2##BDEA M:N \ "I/"P0 MNM=N M,N ρ ξ 0 "I/B. P0 MNM,N 6 2 B - ID M-NM:N M,N -:

30 AE2$CE DBDDC / CE-:Q0BCDEAFFED$ D DE$CEFC2 E ADEC D DEOEA DF A 2 2 D D B!ECFOEA A EAD $CE2$ FC CFOEA 2# CDEFC2 DDCFBCDE DFACC FCBDDBE CFB# CDEFC2DD AB C2$CEC OEA 2C C CC# 9 "ID MENM:N CDE C GCCED B CB&F-FB F'AB ( -FB -A)DDCF BCDE DCAE CFB CDDE AEC FC2AC? A9 = A 29DBCDEFC2 A D# 6 DCFBCDEFC2D $C ABC2 $CEC OEA2C C C C# D CFBCDE C G CCEDBDAF AD? EFB *FCB CBBDDCF2 D C CDA$AA $CEBCFAB# EFB ABFBDDCF2 D C CDA$AA ABDDCFB# EFB ABF,&2F- $CEBCF2D C CDA$AA $CEBCFA B# & CCEDBDBCDE C B$ 2 AD AFEDEAD2 C CDCBFA2 2# B B "I/B - PD0 MENM:N M,N MNM-NM.N M:NM,N 2 "IB. E "I" ψ B. IB. -,

31 CDE B I CDE C AE$ EA)---FB *FCB CB BCDEC CDC ADC DEC D#DB!BEB BCDEC C C A!B FCDD DACE $EEB/ A!? B! 0# A%A&ABABFC-FB *FCB CBCDEC CDC ADCDEC D C AE AG6CDDCFF 2 "E AD AA BE ABCD DDEC AC D2$CC DAC CCDDACFD DB / A!? 0# B*A-FB *FCB CB CDEC CDC ADC C2DBCDEC DDC BCDE DC OEAD#'C2 D$BCDED DCA C $CED/ A!? 0#.,--FB *FCB CB CFBCDEC CF CCEDB2B EBADAGDC AC # EA)--1&F*F%*-FB *FCB CBCDEC CDC ADCB!BEBBCE CF2 BEAFCB B EBAE A DCBC AC D#$ EBA$E2CDC AD DBCDEC D C!B+=Q/ A!? 0# C 2 A DCF BCDEFC2 ADEC A AC CF BCDEFC2#EC EAD $CGCDBC F< A! DDE CBC D#&!B AB C CFB DDCBC DC DEC B A CDBFCDDCFD # &DAF A FCC2 C? " 2 "I/BPDP0 M:NM,N -E

32 = " A D 2 ( D$CA DCF BCDEFC2 "I/B - PD0 AD DCDEC # CDEB IC AE$D BEDACAD OEA DFCEDC$CED EAA# CDE DF CDE DCA C $CE AOEAD# BCDE DFDEDA? FCCEDAECAFF $CEC C 2DED DFCF2BCED CC 2C2D C C # FC2 *BFCDEDA FC2D AECAFF CDDE# C$ 2DD2 $CE ABAC 2 ACDCD C2DD# CD% FCOEA 2CE"D EA $C# A%A&*BFCDDECF AFF D C2DDE# #A2B& AEDAC2 2ADFC2DCF OEA2# CEA A! CCD 6D D$D BCEAC2 DC DEFCFB# A!BCBCEA C2C DEF# C$CEBCF$CAD E $CEB CFCCEDB#CCD AF A!DDC? ξ ρ ρ = ρ ρ D 2ρD A DCF Bρ D DA DCF DCAB! Aρ DA DCF D $CAD# MENM=N M:N \ ψ G Q B. IB. M=NM)N -=

33 DCB A "F*A%FFB&CCDC BFC B $CEB CD C CECAF B FE $# % C%FFB&8CEBCFC CD$CEBGE B#( FC CFCCEDDDBD TC UA ADC FEA B CEB#& C CCDDDB CCCD# DCBDCC C!BD CDCFBCD/DEC BCDECC$CE DDE A$EBA0D FE C CFDBE# A FC2E DCA CE AAC A C;A CBCD AC? - Φ 7 = Ω Ω ( CDθ ) AC D A FC2E DCA ACD F CE AAC? AΦ & = Ω AΩ & DD$C# A FC2BA A FA COEDEF E CFD? Φ H = 2ΦDA FC2 BA AFA ( AD B - # GC DCFCE$EDCF CBCCC BDD $FC D$CB CBC$ C CACFB/F##.)D0#?DF \ G Q B. IB. ψ C G Q B. IB. M)N M=NM,N MN 7 Ω (I/B - PD0 MN & Ω (ID M=NMN H (IB - MENMN M:N -+

34 F?BCCC 6?AD F?BCDEF 1C CF A A DFA? ρ = Φ Φ 2Φ DA FC2 A ( AΦ DA FC2FA (# $EBA E2$CEDDE $ BEA$AA $CEDDEDEC DBBE? CA ν ν ϕ = C = )) νd νd 2 ν D2$CE DDE A νd D$CE DEC DDE # DDEB AD $CE C BDC 2 D? ϕ = ν ν D 2νDEBA $CEBCF "IB. Aν D DEBA $CEBDEC $EA DBBE "IB. # AC C2E C CF DC AC C A A DC AC # FCC2 DOE D AD EDACA C C AC DCFC? #F,AFAADAC* &A C DEF DC AC FCBFEBD# 3 C<C DEFC DC A C DD2 BD AFFEDDCAC #3 A DEFDDCCC CFCE A FAC DCAC D EAA# ρ G MNM.NMEN M=NMN ϕaφa GAQ M-NM.NM:N MENM=N M:N 9 D (IB - M:N 9 D (IB - M:N.)

35 *BFAADAC* &A C DEF AC DC AC FCB$D DCAD"# A-FAADAC* &A C DEF AEC DC B# FAADAC* &A C DEF CFDCAC DDA C$DBD# *B DFAADAC* &A C ADEF DC AC FAC DECE A DEFD A DEFD #C 2 FA AC DCA D A AC# CAC CC E$ AD EC E$I CDE C E$ A E CF $A DEFCF$ C AC C AE CACFB#DBCBC D D AAFCDCA $ # C 2 BCDEC CCEDB A$ EBACFB OE EBC AD C CABE A$ EBA#CC E$DCF CDE C E$# DCC E$AFFDFCB ADCC #DE AFFED BD!B AB C C $EBA+:QC+=Q# %C AC FC2$ BDAC C$2B# C 2 BCDE C CCEDB A DEC / $AFF 2 BCDDDE AC DDE0 C2#DC EADCDCC /DCC E$D0 A C$CDC C #9 E$DFC DCC /2 FCBAB0 AFCADCC /A FCB 9 D (IB - M:N 9 D (IB - M:N 9 DA (IB - M:N 9 D (IB - M:N D HIB - M:N MNM.NM=N M:NM,N M)N M:N.

36 EFCFF CFCDDC EFFB CFF FC $CEAFFEDC BCDEC C$ DEC 0# FC2FCBCCDEF E AE AFF CFBE 2 ACC ACEACC $C B D? Φ 1 D = 2ΦDFC2 ( D B - A D AFF CFBE 2 ACC ACEACC $C B D# FC2B EA DBDDC FC2DC AC #CEA 2C $CFCC# 6D DFFCFB D"DCDEF A C C2D$CEAFFEDC D DCBCA# DEFFBCFF DFC AFFEDC β ν Aβ AF A FCC2 C D? 0 ν = β ν ( ν ν ) D 0 ( ) = β ν ν νd 2 ν DA DCF$CEFC2 "I/B - PD0ν Aν D EBAD $CEB B ADEF "IB. A ν A νd 2$CE DDED B ADEF # &F72DC 2 C $$DEFFBCFF FC DF/ 0CAD DEFFBCFF DFCAFFEDC 2 D? β = E#E ) + 1 D (I/B - PC0 M+N M-NMEN M=NM:N β ν β BID DIB EFFB CFF FC DF 6 DCFFC2DEF DADA$AA BEAFF 2 DEF A $C B? (I/B - PC0 MNM-NMEN M=NM+N.-

37 O = D 2ODA DCFFC2 DEF (IB - D D DEFBE C A C$BE $C B D DEF C# FC2 *B2 A* - *F * CBF1 ABBAC 6F A FCC2 C? O = ( ) D 2O DA DCFC $$ FC2DEF (IB - D DDEFBE C A DBECF2 CD DC B C# ADAB2 A* -*F * CB F1 ABBAC 6F A FCC2 C? O = EFFB DD FC $CEAFFEDC EFFB DD FC DF BE ( ) D 2O DA DCFA FC2DEF (IB - D DDEFBE C A A BECF $C B DD DEF C# CCFDEFFB CFF FC$CEAFFEDC β # CCFDEFFB CFF FC DF# C AB D DF#2CDDFC BE &GDDB? -%*A3 2 )Z%DC CF2 A ))Z%D C C CF2 BCD# 1 -FD&CA-*34 2C2) CD DCE<C A-E.#:CD C CF2# Rθ]-E.#: (I/B - PC0 (I/B - PC0 B D BID M-NMENM=N D B - PCI( MNM-N MNM-NM=N θ Z% C..

38 % AB2 B -% AB BECF B $C B 22OE2 / CD D0 AB BED ADCBD AA CFBCC EB CA2CEA CDDBBCE CF AC AC $C D2CEA DCBE $C B E OE2 ABED AFCDCBCCFBCC # 3$BE EAED FCC2 DBFC? θ C θ + θ = - 2θ D CBE Z% Aθ DA BE Z%# BEFC 6FF 2 BE CFDEF ACCDθ D Z% A! BEθ Z% A$AA AFF 2 BE ACCDθ Z% A BECEACCDθ Z%? θ θ D F D = θ θ B AD FDCDCDC $C 2-G6C.G6 DF!DD AEDDCDDC AFF FCB A; CC D# 2CDCFB AD? # F- B*B1 -A,D C DOE CFAB DC CF EA? D A C D ACE$D CE A2 AC2D# B*BAB1 -A,D C DOE CFC DEC AD FC!BFCDC DCFDEE?DCC AD ACEB D $CADC ED B DEC # θ C Z% M*N F D G M.NM=N MENM=N.*

39 B C AE B C AE$ BC AE DFE! CEF CA AEA E BEAFF 2 DEFDCF CA#&D CCFBDD FCB DEFCDEFE AC AC DCF E FCBA DCFFC2? C = "C AB1 -A*FCD*BAC* CCF B DD FCBDEFCDEF E AC AC DCFE FCBA D CF FC2? C = BC AE$CFB DA DCFFC2 C E CFBA AC CFFC2# AF C DBDFCB1CE>D2FC C AEC? O = λ A BC AE$DDFC DCCBD A DCFC DCCBD#&D$E A ADC A DBE BCDEC ADCBBD /D ACCF D BDEECCBCDC 0CF C DAA# BAFFED$ C 2 B C AE$ (I/BPC0 A $CEBCFB HI/B. PC0? = ρ ) λ BAFFED$D ADFCC2 FDBE D C B# BFFED$ OECCCFCAECFB C AE$ (I/BPC0 A $CEB HI/B. PC0? C (I/B - PC0 MNMENM+N C (I/BPC0 M+N λ (I/BPC0 MNM-N M+NM,N B - ID MNMENM=N M+NM,N HI/B - PD I- PC0 (PD I- I/B - PC0 MENM+N.:

40 B! DC CFF BBCDE AFFEDC CFF = λ ρ ) BFFED$FD CFBC DC # B! DC CFF D BCA BCCF B#&D BEC BDD AB DC D#&D FC ACFBE # BBCDEAFFEDC CFF DA DCFBCDE FC2 "I/B - PD0C E CFBEA C# AF C DBDFCB FCC2 OEC? = 6 A /E FCBBCDEC 0# BDD BEAFF CA$AA A DCFFC2 (IB - DADC AC? B DB = O - 1C FC2 C CFBC AE$ D A2 DCD C D C 2BE? A = λ 2AD" DDCF B# "C AB1 -A BAC* BEAFF CA$AA A DCFFC2 (IB DAD C AC? = O - 6 DCFFC2CDDF DDB (IB - BE AFF CFC 2 DECE A DCF CDEFD# α C G M-NM=N 6 "I/BPDPC0 M:N B - PCI( MNMENM=N M+NM,N BPCI( M+N (I/B - PC0 MNM=N M+NM,N.,

41 CDDE DB 8CE IA 8CEBCFF CFCDD = Φ ( ) - CCFB DB DCB DD 2 DECE A D C DACFDDB # "C AB1 -ABAC-BBAC* 6 DCF FC2 (IBBEAFF CF C 2 DECE A DC DACFDDB # = ( ) Φ - CCF B DB DC BDD 2 DECE A DC DACF DDB # CA C6C >D2C DDEDDEBCF DDEDCFAFF DD B!E# 1C CF A A D DBA DEF? τ = Φ Φ 2Φ DA FC2 A ( AΦ DA FC2 DBA (# 2CDB FE C D C$ IABFEAFFEDC CF 2$CE CC2 EA CBC #$CE IA DCFE C D IA# FC2FCB EA ( A$AA D$CEB B. A AFF CDDG2AB BE DA AB BECEDA C? Φ 1 $ = 8 ^ (I/BPC0 M=NM+N M.NM,N M=NM,N τ G MNM.NMEN M=NMN 1 $ (I/B. PC0 M+N.E

42 8CEBB! DC CFF ( C CFF $CEBCFF CFB! DC D$? 8 β = 8 6F A FCC2 C?! = ' 2 2!D C ACF 2FC AE DEC FCB2DEF B ADB D# β C G M=N ' 2 BID I- M-NMEN M:N ($CE CDE DCEDD# M:N ($CE AFFEDC CFF ($CE AFFEDC OE$ " DD ($CEFC2 ($CE DDE 6F A FCC2 C? = 6 A ν ν 2 D$CA DCF ν 2$CEFC2 "I/B - PD0 AνD$CE C C "IB. # " DDCFBCC DD 2DDB2$CE AFFEDC DD DB? D A = µ A 2µD2$CE DD FC AAD " DDCFCFB B# BCF2$CE DF#($CEFC2D D# CB&F'AB 2A%FF' AB 6F ADBDDCF$CE DCAE CFBCE E CF AEC FC2AC # CFCBCDDDE!A 2$CE# $A%FABABFC% DDEDE FCBD CFB!BEBCDD 2 $CEC #8CE DEC DDEDFE C CF BE#& CDDC 6 B - ID M:N D A B M.NM:N 9 ν "ID MN ν ν B ν "I/B - PD0 M.NM,N ν M.NM:N M=NM:N νd MENM=N.=

43 ($CE B CBDFE C CFOE$ CAB# 6 DCF$CEFC2C E CF$CEC C A /δ ν 0C$CEDDE A /δ 0 AC CF FC2# 2CCDAF A FCC2 OEC D? 0B 2AC EBA $CEB = A ν ν δ ν 0B 2AC 2$CEDDE = δ A ν ν ($CE B ($CE B 2 D$CA DCF ν 2$CEFC2 "I/B - PD0ν D2$CEC C "IB. A ν D2$CE DDE CD # 6F A FCC2 C? δ A ν ν = 2 D$CA DCF ν 2$CEFC2 "I/B - PD0 A ν D2$CE DDE # 6 DCF$CEFC2CDD C E CF$CE C C C$CEDDE AFF CDD2C CE A DEFDE ADAD C AC D# OE D( ν A( AF A FCC2 C D? 0B 2AC2 $CEC C ν =( ν ( ν ν - ) 0B 2AC2 $CEDDED = ( ν ( ) ν ν- 2 ν DA DCF2 $CEFC2 AEC M:NM,N δ ν B - ID δ "I/BPDP0 δ "I/BPDP0 M:NM,N M:NM,N ( ν BID ( "I/B - PDP0.+

44 DEFDCF "I/B - PD0ν Aν - $CEC C D "IB. Aν ν-2 $CEDDED CDAD CF # ($CE & $DCF2$CEB # M:NM,N DD 02$CEDD 2 AC$CEC C ν ν = A = - B ν ν ( ν B ν 02$CEDD 2 AC2$CE DDE ν ν - B = A ν = ( B B ν DIB B B - PDPI" ($CE DD FC ($CE DF ($CEAFFEDC CFF /6 B - ID0A$AA 2 $CEB /δ ν B - ID0CF CCEDB? 6 µ = δ ν & DC AF AD? µ δ = δ 2δ D2$CE B "I/BPDP0 Aδ D2$CE B 2AC 2$CEDDE "I/BPDP0# 2$CEDD FC ADC2BE DD CFCCEDBD DAFFEDC CBAC OE"CFD DBBE# 2$CEFC2 AEA $CEC C I2 $CEDDEAFF C BC$ EBA# V G M-NM=N M:NM,N MN *)

45 ( AGA$ F C $DEF# CD/D2 CACCB CB&&D CBC CF D $CED FE!CE $ #(6 D!DDAD? = 2A 8 2 D DCF F F CEC<C B. IB - D2 ADA BID A8 D ACB $CCFF BID# CD/D2 CACA-FCB CD/D2 CAC*F * CB! 'CD/D2 CAC*F * CB 2A 2A α " B. I/B - PD0 B. IB - DIB DIB MEN *

46 C BCBB BA *-

47 MN M-N M.N M*N M:N M,N 5&%4 3%&5 31 5&49 51&95&49 46 &G%346&&34&49 5 /-))+05 A CC"FE AB D#5 # %&'()*)/+E:0 FE D DB CD A E D FC ADC CF A BCDE DF EA D? %C $DC FCD# &''%G4 C 4C# '&GE:G:+I).#=#-# %&' ;D2;"4 AD# 5354%3& &B&34 %54/-))0 54&3.E==?-)) CBFCB CF EA CBC D A EA B D& DEF BE C $CA DEF EBA A D C A DC %EC BCAD#%54'EDDD'EB# 5354 %3& &B&34 %54 /-)):0 54 &3 EE.)?-)): 5C CBDCFB $C B AB C A C CF B CBFC ED EC CF 8 A 6 AD A C B CBFC #%54'EDDD'EB# 5354 %3& &B&34 %54 /-)):0 54 &3 :+-E?-)): CBFCB CF EA D%EC AD C CFBA#%54 'EDDD'EB# 5354 %3& &B&34 %54 /-))E0 54 :)-,?-))E CB FCB CF EA CBC D A EA B D DDDDB CF BCDE DF EBDBEC #%54'EDDD'EB# MEN 95431%#G5#/-))0& CAEC C EA DD#EA E7E A2A # M=N M+N 54/-))E0'EA DD ABCDE#1E AB D A BCAD 2!BD A!DD# 5 D _ C / HC ( %CB 0 ' 9B # &454& &B& &B&34 &3/+=E0&3 E.*:?+=E B DEC DOE D AAF C D#&39 $2< A# M)N &454& &B& &B&34 &3/+=E0&3 +-:?+=E B DEC DFC AC D ACDCFBD8C E#&3 9 $2< A# MN &454& &B& &B&34 &3/+=+0&3 +-==?+=+ B DEC DF AC D OE D A AF C D#&3 9 $2< A# *.

48 M-N &454& &B& &B&34 &3/++,0&3 )):?++, B DEC CDE FFD C DF 6B C CF B DBDD$CFBCDB#&39 $2< A# M.N &454&347394&B&341346&B&34&3/-)):0&3I6&*,=.?-)): TB AD EA C DEC 7 B DB BFA BCAD AAFE$EDU#&39 $2< A# M*N &454& &B& &B&34 &3/-))E0&3 )*:,?-))E 'EA BD A CAED CB CD EA AD $ED A CAEDFCAB AA AAD B$ED#&39 $2< A# M:N &454& &B& &B&34 &3/-))E0 &3 +.*,?-))E CBFCB CF EA D A EA BDDOE DFCBDD DF8C E#&39 $2< A# M,N C4#/++,0 ABCDE DFCE 2 ACFA DEA $CD#D".CD#& C 5 /&50445K-* 1 C#C##G7E$ 7E$ 'EB# MEN &454&347 /-))0 E *)? CDE DD A %C A DC %C C 'EA 5 $CD5AC?DD## **

49 ABCDCEFFBE CBFDB FFC!""# $% F A&'(%)!!%"*) +* #,F&D#CDD-.. E&A.&//000../1D#CDD

50 CIB Commissions Members can choose to participate in a selection of over 50 Commissions in the areas of Building Techniques, Design of Building and the Built Environment, and Building Process. Examples of CIB Commissions are: W014 Fire Safety W040 Heat and Moisture Transfer in Buildings W062 Water Supply and Drainage W116 Smart and Sustainable Built Environments CIB Publications International collaborative projects result in the publication of: conference proceedings, state of the art reports, best practice presentations, practitioners guidelines, pre-standardization documents, R&D Roadmaps etc. Examples of recent CIB Publications are: - Proceedings of the 38th Int. Symposium on Water Supply and Drainage for Building - Construction Waste Reduction around the World - Heat, Air and Moisture Transfer Terminology - Parameters and Concepts Membership Fees Annual Fees depend on the type of Membership (Full, Asssociate or Individual) and on the type and size of the organization. Fees in 2013: Full member or 8252 or 2839 Associate member 1426 Individual member 283 Discounts of 25% or 50% are ofered to Members in countries with a GNIpc of less then USA $7000 or $1000 respectively.

51 CIB General Secretariat Kruisplein 25-G 3014 DB Rotterdam CIB Publication 369 / ISBN