13788 condens 2012

ICS 91.060.01; 91.120.10

SR EN ISO 13788

Standard Romn Mai 2013

Titlu Performan a higrotermic a componentelor i elementelor de construc ie Temperatura superficial interioar pentru evitarea umidit ii superficiale critice i a condensului interior Metode de calcul

Hygrothermal performance of building components and building elements - Internal surface temperature to avoid critical surface humidity and interstitial condensation - Calculation methods (ISO 13788:2012)

Performance hygrothermique des composants et parois de btiments - Temprature superficielle intrieure permettant d'viter l'humidit superficielle critique et la condensation dans la masse - Mthodes de calcul (ISO 13788:2012)

Aprobare Aprobat de Directorul General al ASRO la 31 mai 2013 Standardul european EN ISO 13788:2012 a fost adoptat prin metoda notei de confirmare i are statutul unui standard romn

nlocuiete SR EN ISO 13788:2002

Data publicrii versiunii romne: -

Coresponden Acest standard este identic cu standardul european EN ISO 13788:2012

ASOCIAIA DE STANDARDIZARE DIN ROMNIA Str. Mendeleev nr. 21-25, cod 010362, Bucureti , www.asro.ro

ASRO Reproducerea sau utilizarea integral sau par ial a prezentului standard n orice publica ii i prin orice procedeu (electronic, mecanic, fotocopiere, microfilmare etc.) este interzis dac nu exist acordul scris prealabil al ASRO

Ref.: SR EN ISO 13788:2013 Edi ia 2

Pagina tiparita cu aplicatia InfoStandard (c) 2008 ASRO (www.asro.ro) & SKY PROJECT (www.skyproject.ro).

Asociatia de Standardizare din Romania, REF 4-2512 / 2013-07-17 VAL CONSULTING TEHNIC SRL

Document type: European Standard Document subtype: Document stage: Publication Document language: E Y:\STD_MGT\STDDEL\PRODUCTION\Standards\00089\126\64_e_stf.doc STD Version 2.4a

CEN/TC 89 Date: 2012-12

EN ISO 13788:2012

CEN/TC 89

Secretariat: SIS

Hygrothermal performance of building components and building elements Internal surface temperature to avoid critical surface humidity and interstitial condensation Calculation methods (ISO 13788:2012)

Einfhrendes Element Haupt-Element Ergnzendes Element (ISO 13788:2012)

Performance hygrothermique des composants et parois de btiments Temprature superficielle intrieure permettant d'viter l'humidit superficielle critique et la condensation dans la masse Mthodes de calcul (ISO 13788:2012)

ICS:

Descriptors:



EN ISO 13788:2012 (E)

2

Contents Page

Foreword ....................................................................................................................................................... 3



EN ISO 13788:2012 (E)

3

Foreword

This document (EN ISO 13788:2012) has been prepared by Technical Committee ISO/TC 163 "Thermal performance and energy use in the built environment" in collaboration with Technical Committee CEN/TC 89 Thermal performance of buildings and building components the secretariat of which is held by SIS.

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 June 2013, and conflicting national standards shall be withdrawn at the latest by June 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.

This document supersedes EN ISO 13788:2001.

According to the CEN/CENELEC Internal Regulations, the national standards organisations 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, 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 13788:2012 has been approved by CEN as a EN ISO 13788:2012 without any modification.



ISO 2012

Hygrothermal performance of building components and building elements Internal surface temperature to avoid critical surface humidity and interstitial condensation Calculation methods

Performance hygrothermique des composants et parois de

INTERNATIONAL STANDARD

ISO13788

Second edition2012-12-15

Reference numberISO 13788:2012(E)



ISO 13788:2012(E)

ii ISO 2012 All rights reserved

COPYRIGHT PROTECTED DOCUMENT

9trst

wxstsstrTel. + 41 22 749 01 11vsttyv{r{vy7Web www.iso.org



ISO 13788:2012(E)

ISO 2012 All rights reserved iii

Contents

Foreword ........................................................................................................................................................................................................................................iv

Introduction ..................................................................................................................................................................................................................................v

1 Scope ................................................................................................................................................................................................................................. 1

2 Normative references ...................................................................................................................................................................................... 1

u ................................................................................................................................. 1us ....................................................................................................................................................................... 1ut ................................................................................................................................................................................ 33.3 Subscripts .................................................................................................................................................................................................... 4

4 Input data for the calculations ............................................................................................................................................................... 4vs ............................................................................................................................................. 4vt ................................................................................................................................................... 4vu ....................................................................................................................................................xvv ..............................................................................................................................................................................x

5 Calculation of surface temperature to avoid critical surface humidity ....................................................... 7ws ........................................................................................................................................................................................................... 7wt ................................................................................................................................................................ 7wu ................................ 7wv ................ 8

6 Calculation of interstitial condensation ....................................................................................................................................... 9xs ........................................................................................................................................................................................................... 9xt ........................................................................................................................................................................................................ 9xu ................................................................................................................................................. 10xv ............................................................................................................................................................................................... 10xw ............................................................................................................sx

7 Calculation of drying of building components ...................................................................................................................16ys ........................................................................................................................................................................................................sx7.2 Principle ..................................................................................................................................................................................................... 17yu ...................................................................................................................................................... 17yv ............................................................17

Annex A Internal boundary conditions .....................................................................................................................18

Annex B Examples of calculation of the temperature factor at the internal surface to avoid critical surface humidity ...........................................................................................................................................................20

Annex C Examples of calculation of interstitial condensation ..........................................................24

Annex D Example of the calculation of the drying of a wetted layer ...........................................34

Annex E Relationships governing moisture transfer and water vapour pressure .......37

Bibliography .............................................................................................................................................................................................................................40



ISO 13788:2012(E)

Foreword

t

yw

suyzzsxutz{.

ISO 13788:2001

iv ISO 2012 All rights reservedPagina tiparita cu aplicatia InfoStandard (c) 2008 ASRO (www.asro.ro) & SKY PROJECT (www.skyproject.ro).Asociatia de Standardizare din Romania, REF 4-2512 / 2013-07-17 VAL CONSULTING TEHNIC SRL

ISO 13788:2012(E)

Introduction

ISO 2012 All rights reserved vPagina tiparita cu aplicatia InfoStandard (c) 2008 ASRO (www.asro.ro) & SKY PROJECT (www.skyproject.ro).Asociatia de Standardizare din Romania, REF 4-2512 / 2013-07-17 VAL CONSULTING TEHNIC SRL

Hygrothermal performance of building components and building elements Internal surface temperature to avoid critical surface humidity and interstitial condensation Calculation methods

1 Scope

to be negligible.

2 Normative references

x{vxtrry

{uvx

sw{tysw

u

us

{uvx

INTERNATIONAL STANDARD ISO 13788:2012(E)

ISO 2012 All rights reserved 1Pagina tiparita cu aplicatia InfoStandard (c) 2008 ASRO (www.asro.ro) & SKY PROJECT (www.skyproject.ro).Asociatia de Standardizare din Romania, REF 4-2512 / 2013-07-17 VAL CONSULTING TEHNIC SRL

ISO 13788:2012(E)

3.1.1monthly mean temperature

3.1.2temperature factor at the internal surfaceRsi:

fRsisi e

i e

=

s

tsrtss

3.1.3design temperature factor at the internal surface

fRsi,minsi,min e

i e

=

3.1.4minimum acceptable temperature

3.1.5mean annual minimum temperature

3.1.6internal moisture excess

= i e =G/(n )V

3.1.7water vapour diffusion-equivalent air layer thickness sd = d

3.1.8relative humidity

= ppsat

3.1.9critical surface humidity

3.1.10heating period

2 ISO 2012 All rights reservedPagina tiparita cu aplicatia InfoStandard (c) 2008 ASRO (www.asro.ro) & SKY PROJECT (www.skyproject.ro).Asociatia de Standardizare din Romania, REF 4-2512 / 2013-07-17 VAL CONSULTING TEHNIC SRL

ISO 13788:2012(E)

3.1.11cooling period

3.2 Symbols and units

Symbol Quantity Unit

D m2

D0 m2

G

M 2

R m2

Rv vxt 3

T K

U 2K)

V m3

Zp m2

Zv 2

d m

fRsi -

f -

g 2s)

n hs

p

q 2

sd m

t time s

w 3

Ap -sure

A0

K 3

K Ki Ke 3

p pi pe

T -

I

J -

E C

E C


ISO 13788:2012(E)

3.3 Subscripts

m

c n

cr s

e

ev se

si

i T

min

4 Input data for the calculations

4.1 Material and product properties

s

Table 1 Material and product properties

Property Symbol Design values

I R

srvwx

J sd

srvwx-stwyt

IJRsd

Rx{vxsdrrs

4.2 External boundary conditions

4.2.1 Location

strr

4.2.2 Time period for climatic data

sw{tys

sr tt


ISO 13788:2012(E)

4.2.3 External temperature

4.2.1 4.2.2

twith the following steps:

Em

E

EmE: (E+Emt

in ISO 13370.

of ISO 13370

eq eq suy{req t

4.2.4 External humidity

4.2.4.1 External air

pe.

s

p pe e sat e= ( ) (1) 4.2.2

rzw

4.2.4.2 Humidity conditions in the ground

Ts


ISO 13788:2012(E)

4.3 Internal boundary conditions

4.3.1 Internal air temperature

NOTE

4.3.2 Internal humidity

p p pi e= + (2)

p

pK

p R T GnV

R T= = v i v i (3)

p

or

Ti

NOTE

Ti

4.4 Surface resistances

4.4.1 Heat transfer

Rserrv2

rtw2

Rsi given in t

tsurface condensation on windows and doors

Thermal resistance t

rsr

rsu

rsy


ISO 13788:2012(E)

4.4.2 Water vapour transfer

5 Calculation of surface temperature to avoid critical surface humidity

5.1 General

Trz

5.2 Determining parameters

fRsi

srtss

wu

TsicrrzTsicrrx

Kp fRsi

4.2.3

4.2.4

4.3.2


ISO 13788:2012(E)

TsiTsicr p

pp

sicrsat si

i ( ) = (4) E

uvstpEiE from p.

EEi (see 4.3.1 Ee f usu

fthis month is fffRsi > f.

.

fRsi

fRsisRsi U

with ISO 10211.

5.4 Design for the limitation of surface condensation on low thermal inertia elements

therefore Tsis

below will limit this.

4.3.2

Tsi sr p

p psat si i( ) = (5) E


ISO 13788:2012(E)

s uvstpEiE from p.

EEi (see 4.3.1Eefusu

t srryyt

6 Calculation of interstitial condensation

6.1 General

structure under service conditions.

6.2 Principle

st x{vxthrough the building component is not considered.

gp

d

p

s= =

0 0d

x

where A0tsrsr

NOTE 1 A0

qd R

= = (7)


ISO 13788:2012(E)

t IRI

u swrtx

6.3 Limitation of sources of error

xt.

moisture distribution.

6.4 Calculation

6.4.1 Material properties

4.4.14.4.2 R sdrtw2 rtw2

wuvx{vxtrry

JJsrrrrr


ISO 13788:2012(E)

n.

= +=

R R R jj

n

n se

1

(8)

=

=

s sn jj

n

d d, ,

1

(9)

srss

= + +=

R R R Rjj

N

T si se

1

(10)

=

=

s s jj

N

d T d, ,

1

(11)

6.4.2 Boundary conditions for interstitial condensation

4.2.

t.

6.4.3 Starting month

xvvxvw. Determine

months until either:

st

until either:

stxvvxvwxvx

xvvxvwxvx for


ISO 13788:2012(E)

6.4.4 Temperatures and saturated vapour pressure distribution

= +

n

nR

Re

Ti e( ) (12)

see Figure 1.

(a) Plotted against the width of each layer (b) Plotted against thermal resistance of each layer

Figure 1 Temperature distribution in a multi-layer building element

.

6.4.5 Vapour pressure distribution

sdFigure 2

pipeFigure 2

gp p

s=

0 i ed,T

(13)


ISO 13788:2012(E)

Figure 2 Water vapour diffusion in a multi-layer building element without any interstitial condensation

Figures 34

Figure 3 Water vapour diffusion with interstitial condensation in one interface plane

6.4.6 Condensation rate

gp p

s s

p p

sc 0

i c

d,T d,c

c e

d,c' ' '=

(14)

more than one


ISO 13788:2012(E)

Figure 4 Water vapour diffusion with interstitial condensation in two interface planes

Figure 4).

s

gp p

s s

p p

sc 0

c c

,c ,c

c e

,c1

2 1

2 1

1

1

=

d d d (15)

t

gp p

s s

p p

s sc 0

i c

,T ,c

c c

,c ,c2

2

2

2 1

2 1

=

d d d d sx

6.4.7 Evaporation

Figure 5xvv.

Figure 5 Evaporation from an interface in the building component

gp p

s s

p p

sev 0

i c

d,T d,c

c e

d,c' ' '=

(17)


ISO 13788:2012(E)

more than onex.

xinterfaces

x):

s

gp p

s s

p p

sev1 0

c2 c1

d,c2 d,c1

c1 e

d,c1' ' '=

(18)

t

gp p

s s

p p

s sev

c

,

c c

' ' ' '2 0

2 2 1=

i

d T d,c2 d,c2 d,c1

(19)

6.4.8 Evaporation and condensation

Figure 7.

ywhere condensation has occurred in two interfaces


ISO 13788:2012(E)

gcgev

st

gp p

s s

p p

s

c ec 0

c c

,c ,c ,c' ' '=

2 1

2 1

1

1d d d

(20)

uv

gp p

s s

p p

s sev 0

i c

,T ,c

c c

,c ,c' ' ' '=

2

2

2 1

2 1d d d d

(21)

.

6.5 Criteria used to assess building components

trr2

7 Calculation of drying of building components

7.1 General

sdtx


ISO 13788:2012(E)

7.2 Principle

s2

yu

s2

xvv to xvz

7.4 Criteria used to assess drying potential of building components


ISO 13788:2012(E)

Annex A

Internal boundary conditions

A.1 Continental and tropical climates

Figure A.1

i

Key

Ei

Ti

Ee

A

B

sbuildings depending on the daily mean external air temperature


ISO 13788:2012(E)

A.2 Maritime climates

Figure A.2 pFigure A.2

s

Table A.1 Internal humidity classes

Humidity class Building

1

2

3

4

5

w Figure A.2

A

Key

A

Figure A.2 Variation of internal humidity classes with external temperature


ISO 13788:2012(E)

Annex B

Examples of calculation of the temperature factor at the internal

surface to avoid critical surface humidity

s sAnnex A

Ee Te sts).

Ei Ti Figure A.1uvs). p(Eistpiws).

p(Esi v wu E uvxys.

fRsiust

zs.

sfrxtt

Table B.1 Calculation of f in a high occupancy building

Month

1 2 3 4 5 x 7 8

Ee C

Te Ei C

Ti pi

p(Esi)

E C

fRsi

tv r{t trr rwt 1 225 1 531 suu rxtt

tz rzz trr rwu 1 234 1 542 suw rxtr

vw rzw trr rww 1 274 1 592 su{ rxr{

April xy rzr trr rwy 1 325 sxwx svx rw{s

{z ryz trr rxr 1 397 1 747 swv rwvy

stx rzr tsu rxu 1 585 1 981 syv rwvy

svr rzt ttr rxv sx{s 2 114 szv rwv{

August suy rzv ts{ rxv sxxz 2 085 szt rwvz

September ssw rzy trz rxt 1 505 1 882 sxw rwvx

October {r rz{ trr rw{ 1 379 1 724 swt rwxs

November wr r{s trr rww 1 285 sxry svs rxrx

December uw r{t trr rwv 1 250 swxu suy rxsx


ISO 13788:2012(E)

t t

trrwr

EeEiTistut).

ps t s pivt.

s(Esi { wu E uvwxt.

ust

fRsiyt.

tfrwzs

Table B.2 Calculation of f using controlled internal humidity

Month

1 2 3 4 5 x 7

Ee C

Ei C

Ti pi

p(Esi)

E C

fRsi

tv 20 rw ssxz svxs stx rwzs

tz 20 rw ssxz svxs stx rwys

vw 20 rw ssxz svxs stx rwtv

April xy 20 rw ssxz svxs stx rvvw

{z 20 rw ssxz svxs stx rtyy

stx 20 rw ssxz svxs stx rrru

svr 20 rw ssxz svxs stx rtt{

August suy 20 rw ssxz svxs stx rsys

September ssw 20 rw ssxz svxs stx rsut

October {r 20 rw ssxz svxs stx ruur

November wr 20 rw ssxz svxs stx rwrz

December uw 20 rw ssxz svxs stx rwwu

u u

Ee Te stu).

p stspeuu).

Kn G V pxwxu).


ISO 13788:2012(E)

p(Esi { wu E uvz{u.

ust

fRsisru.

ufrzut

Table B.3 Calculation of f using a constant ventilation rate

Month

1 2 3 4 5 x 7 8 9 10

Ee C

Te pe

n hs

p

pi

p(Esi)

E C

Ei C

fRsi

tz r{t xzyr rw 433 1 120 1 400 str 20 rwuv

tz rzz xwys rw 433 1 090 suxu ssx 20 rwsr

vw rzw yswx rw 433 1 149 svux stv 20 rwry

April xy rzr yzvy rw 433 1 218 1 522 suu 20 rv{u

{z ryz {vvw rw 433 1 378 1 722 swt 20 rwtw

stx rzr ssxxx rw 433 sxrr 1 999 syw 20 rxxu

svr rzt susrs rw 433 1 743 2 179 sz{ 20 rzst

August suy rzv susxt rw 433 1 749 tszx sz{ 20 rzur

September ssw rzy ssy{{ rw 433 sxsu trsx syx 20 rytt

October {r rz{ srtst rw 433 1 454 1 818 sxr 20 rxuy

November wr r{s y{uv rw 433 sttx 1 533 suv 20 rwwz

December uw r{t yts{ rw 433 1 155 1 444 stv 20 rwvt

NOTE GrvVtwr3.

v v

fRsiuu

vnrtrrvEefrysz


ISO 13788:2012(E)

Table B.4 Calculation of f using a variable ventilation rate

Month

1 2 3 4 5 x 7 8 9 10

Ee C

Te pe

n hs

p

pi

p(Esi)

E C

Ei C

fRsi

tz r{t xzu rus x{v 1 377 1 722 swt 20 rysz

tz rzz xwy rus x{v 1 351 sxz{ sv{ 20 ryrs

vw rzw 709 ruz 570 1 279 1 599 svr 20 rxsv

April xy rzr 788 rvy vxu 1 251 swxv suy 20 rwtv

{z ryz 941 rw{ uxx 1 307 sxuv svu 20 rvvw

stx rzr ssxt ryr 308 1 470 1 837 sxt 20 rvzu

svr rzt 1 302 ryx 285 1 587 1 984 syv 20 rwxu

August suy rzv 1 317 ryw 290 sxry 2 008 syx 20 rxsw

September ssw rzy 1 183 rxx 328 1 511 1 889 sxx 20 rxrs

October {r rz{ 1 017 rwx 387 1 404 1 755 sww 20 rwzy

November wr r{s 788 rvr 542 1 330 sxxt svx 20 rxvs

December uw r{t 719 ruv xuy suwx sx{w sv{ 20 rx{t

NOTE GrvVtwr3.


ISO 13788:2012(E)

Annex C

Examples of calculation of interstitial condensation

C.1 Environmental conditions

stuFigure A.1

Table C.1 External and internal conditions used for analysis

Month

ExternalInternal

Normal occupancyInternal

High occupancy

Ee C

Te Ei C

Ti Ei C

Ti

-1 rzw trr ru{ trr rv{

0 rzv trr rvr trr rwr

4 ryz trr rvv trr rwv

April 9 ryt trr rv{ trr rw{

14 rxz ttr rwv ttr rxv

18 rx{ tvr rwz tvr rxz

19 ryu tvw rw{ tvw rx{

August 19 ryw tvw rw{ tvw rx{

September 15 ry{ ttw rww ttw rxw

October 10 rzu trr rwr trr rxr

November 5 rzz trr rvw trr rww

December 1 rzz trr rvs trr rws

C.2 Example 1: Building component with condensation in one interface plane

in Figure C.1sproperties shown in t.


ISO 13788:2012(E)

Key

1

2 rrs

3 rsr

4

5 rrst

x

ss

t

d m

R m2

J sd m

rrv

rrsr rrw 500 000 5 000

rsrr 3 150 15

1 000

Liner rrst rryw 10 rst

rsr

Figure C.1M

s xvuxvvxvwsgsvMu.

stuus


ISO 13788:2012(E)

Table C.3 Monthly condensation rate and accumulation at interface 1

Month

Normal occupancy High occupancy

gc 2

M 2

gc 2

M 2

October 0 0 rrrrrw rrrrrw

November rrrrrx rrrrrx rrrrsz rrrrtu

December rrrrsu rrrrs{ rrrrtx rrrrv{

rrrrsw rrrruw rrrrtz rrrryy

rrrrsu rrrrvz rrrrtv rrrsrs

rrrrrz rrrrww rrrrtr rrrstr

April rrrrrw rrrrwr rrrrry rrrsty

rrrrsx rrrruv rrrrrt rrrstw

rrrrtw rrrrr{ rrrrsr rrrssw

rrrrtz 0 rrrrst rrrsru

August 0 0 rrrrss rrrr{t

September 0 0 rrrrrt rrrr{r

in xvx

C.3 Example 2: Building component with condensation in two interfaces

srr shown in Figure C.2vs.


ISO 13788:2012(E)

I4I3

I2I1

1

2

3

4

5

6

7

Key

1

2 rrs

3 rsr

4

5 rrs

x rrst

7

Figure C.2 Materials for roof in example 2

v

d m

R m2

J sd m

rrv

rrsr rrw 500 000 5 000

rsrr 3 150 15

1 000

rsrr 3 150 15


rsr

Figure C.2M

sin xvuxvvxvwsu


ISO 13788:2012(E)

gctrtssu

Table C.5 Monthly condensation rates and accumulation within the insulated wall

Month

Interface 1 Interface 3

gc 2

M 2

gc 2

M 2

December rrrrtt rrrrtt rrvyuv rrvyuv

rrrrtt rrrrvu rrxytt rssvwx

rrrrs{ rrrrxu rrwtr{ rsxxxw

rrrrtr rrrrzu rrssu{ rsyzrv

April rrrrsw rrrr{z rrxvws rssuwt

rrrrst rrrssr rstsur 0

rrrrr{ rrrss{ 0 0

rrrrr{ rrrst{ 0 0

August rrrrsr rrrsu{ 0 0

September rrrrsu rrrswt 0 0

October rrrrsx rrrsxz 0 0

November rrrrtr rrrszz 0 0

C.4 Example 3: Building component containing a well ventilated cavity

Figure C.3xvsx.


ISO 13788:2012(E)

Key

1

2 rrs

3

4 rsr

5

x rrst

7

uu

x

d m

R m2

J sd M

rsr

rsrr 3 150 15

1 000


rsr

s

C.5 Example 4: Building component in a warm humid climate

Figure C.4shown in y.


ISO 13788:2012(E)

Key

1

2 rsrw

3 rrw

4

5 rrst

x rsvr

7

8 rrstw

9

Figure C.4 Materials for timber framed wall in example 4

Table C.7 Material properties for timber framed wall

d m

R m2

J sd m

rrv

Brick rsrw rsux 8 rzv

rrwr rsz

rt

rrst rr{t 90 ss

rsvr uw sv rt

50

rrstw rrx 12 rsw

rsu

s

zw {).


ISO 13788:2012(E)

Table C.8 External and internal conditions in a hot humid climate

Month

External Internal

Ee C

Te Ei C

Ti

zr xur trr vrr

zr xuv trr vrr

ssr xvv trr vrr

April sww x{t trr vrr

s{w yx{ trr vrr

tsw zvs trr vrr

txr zwv trr vrr

August tyr ztz trr vrr

September twr zrt trr vrr

October trr yrw trr vrr

November sww xzz trr vrr

December srw xxv trr vrr

Table C.9 Monthly condensation rate and accumulation at interface 5

Month

Interface 5

gc 2

M 2

rr{vs rr{vs

August rsswz rtsrr

September rrtss rtuss

October rsyrs rrxsr

November rtwxu rrrrr

December rrrrr rrrrr

rrrrr rrrrr

rrrrr rrrrr

rrrrr rrrrr

April rrrrr rrrrr

rrrrr rrrrr

rrrrr rrrrr

C.6 Example 5: Division of a layer with high thermal resistance

srrtw2Figure C.5.


ISO 13788:2012(E)

Table C.10 Material properties for wall

d m

R m2

J sd m

rrv

Render rrst rrsw 8 rr{x

Blockwork rtyw twrr 10 tyw

rrtr rwrr 1 rrt

Liner rrsu rrtu 8 rsr

rsu

Key

1

2 rrst

3 rtyw

4 rrt

5 rrsu

x

Figure C.5w

sstust.


ISO 13788:2012(E)

Table C.11 External and internal climates used for analysis

Month

External Internal

Ee C

Te Ei C

Ti

-10 r{w 20 rv{

-8 r{v 20 rwr

-5 rzr 20 rwv

April 0 rzt 20 rw{

13 rxz 22 rxv

18 rx{ 24 rxz

19 ryu tvw rx{

August 19 ryw tvw rx{

September 14 ry{ ttw rxw

October 7 rzu 20 rxr

November 1 rzz 20 rww

December -4 r{w 20 rws

Table C.12 Monthly condensation and accumulation rates at interfaces 2 and 3

Month


gc 2

M 2

gc 2

M 2

October 0 0 0 0

November 0 0 0 0

December 0 0 0 0

rrtv{ rrtv{ rrtv{ rrtv{

rrrwx rrurx rrrwy rrurx

rrsr{ rrs{x rrsr{ rrs{x

April rr{us 0 rr{ut 0

0 0 0 0

0 0 0 0

0 0 0 0

August 0 0 0 0

September 0 0 0 0


ISO 13788:2012(E)

Annex D

Example of the calculation of the drying of a wetted layer

uFigure D.1s s

Key

1

2

3

4

5 roof deck

x

7 liner

8

Figure D.1 Flat roof with wetted insulation at layer 3


ISO 13788:2012(E)

s

d mm

R m2

sd m

rrv

rrrt rrrz xrrr str

rtrr wr sr rt

ywr

Roof deck rrs{ rsvx srr rs{

rsrr rsxr

Liner rrst rrx str rsw

rs

s2 t

xvv to xvzsts(see t s zuFigure D.2).

Table D.2 Monthly condensation rate and accumulation at interfaces 1 and 2


gc 2

M 2

gc 2

M 2

sr rr

September suzt rr r{{stz r{{stz

October rr rr rrrzvw r{ztzv

November rr rr rrrtrz r{zryw

December rr rr rrrrsu r{zrxu

rr rr rrrrry r{zrwx

rr rr rrrryu r{y{zu

rr rr rrrwts r{yvxt

April rr rr rrstxx r{xs{w

rr rr rrttwv r{u{vt

rr rr rrtztr r{ssts

rr rr rrtyuw rzzuzx

August rr rr rrtwu{ rzwzvz


ISO 13788:2012(E)

Key

months

2

Figure D.2 Amount of condensate at interface 1


ISO 13788:2012(E)

Annex E

Relationships governing moisture transfer and water vapour

pressure

E.1 Water vapour saturation pressure as a function of temperature

psat e=+610 5

17 269

237 3,

,

,

for Er

(E.1)

psat e=+610 5

21 875

265 5,

,

,

for E < 0 C

(E.2)

=

237 3610 5

17 269610 5

, log,

, log,

esat

esat

p

pfor pxsrw

(E.3)

=

265 5610 5

21 875610 5

, log,

, log,

esat

esat

p

pfor pxsrw

(E.4)


ISO 13788:2012(E)

Table E.1 Saturated vapour pressure and humidity by volume

E C

P

K 3

E C

P

K 3

-20 103 rrrrzz 11 1 312 rrr{{{

-19 113 rrrr{x 12 1 402 rrsrxv

-18 124 rrrsrw 13 1 497 rrssut

-17 137 rrrssw 14 1 598 rrstrv

sx 150 rrrstx 15 1 704 rrstzr

-15 sxw rrrsuz sx 1 817 rrsuxr

-14 181 rrrsws 17 1 937 rrsvvv

-13 198 rrrsxw 18 trxu rrswuu

-12 217 rrrszr 19 ts{x rrsxtx

-11 237 rrrs{x 20 2 337 rrsytw

-10 259 rrrtsu 21 tvzx rrsztz

-9 283 rrrtut 22 txvt rrs{uy

-8 309 rrrtwt 23 2 808 rrtrws

-7 338 rrrtyv 24 2 982 rrtsys

x uxz rrrt{z 25 usxx rrtt{y

-5 401 rrrutv tx 3 359 rrtvur

-4 437 rrruws 27 uwxu rrtwxz

-3 475 rrruzs 28 3 778 rrtysv

-2 517 rrrvsu 29 4 003 rrtzxx

-1 wxt rrrvvy 30 4 241 rrurtx

0 xss rrrvzv 31 4 490 rrus{v

1 xwx rrrwsz 32 4 752 rruux{

2 705 rrrwww 33 5 027 rruwwt

3 757 rrrw{u 34 wusx rruyvv

4 813 rrrxuv 35 wxs{ rru{vw

5 872 rrrxyz ux 5 937 rrvsww

x 935 rrrytv 37 xtys rrvuyv

7 1 001 rrryyu 38 xxts rrvxru

8 1 072 rrrztw 39 x{zy rrvzvu

9 1 147 rrrzzr 40 7 371 rrwr{t

10 1 227 rrr{uz

E.2 Vapour pressure and humidity by volume

w

p v R Tv= (E.5)

where


ISO 13788:2012(E)

R vxt3

T

p

p v R T T GnV

RT T

vi e

vi e

=

+=

+( ) ( )

2 2 x


ISO 13788:2012(E)

Bibliography

s x{vxtrry

t srryyt x

u srtss

v srvwx

w stwyt

x suuyr

[7] ISO 13790


13788 condens 2012

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