User manual. Design program in Excel for Flooré panel products. Manual version 1.0 for Excel program version 3.2 released in May 2014

Transcription

1 Ur manual Dgn program n Excl for Flooré panl product Manual vron 1.0 for Excl program vron 3.2 rlad n May 2014

2 2 qurmnt T dgn program rqur a crtan amount of nput data o tat corrct output data can b calculatd. T calculaton ar don for on manfold at a tm wt tn loop pr manfold. T program mad n Mcrooft Excl and ould b compatbl wt otr platform. All dcmal ar gvn a comma,. T nput data ar t followng, for ac loop: 1) Sytm typ, n otr word, t panl typ and pp 2) Floorng matral tat ar placd abov t panl 3) Trmal rtanc of t ubfloor 4) Dgn ndoor tmpratur of t zon 5) Dgn outdoor tmpratur or zon blow t ubfloor 6) Dgn tmpratur drop of t watr n t loop 7) T atng rqurmnt of t room/zon, bad on atd floor ara 8) Pp lngt, plt up n part tat actvly mt at and nonmttng part. Gttng tartd Wn t Excl program opnd, you wll av b warnd about allowng macro to b ud. A curty warnng gn own, gvng you t altrnatv to tr protct t computr from armful cod or to actvat t contnt. Coo to actvat t contnt (t macro ar cod for t croll lt provdd n t program). Fgur 1: T rd llp mark wr t computr warnng on macro actvaton may appar. Actvat t u of macro, nc t croll mnu n t program ar u macro.

3 3 T Excl fl tat you av obtand can b ud a a matr fl, manng tat you ould av t fl wtout avng data n t. Wn you w to u t fl for calculaton, rnam t fl o tat you can av t cang and your data. T mplt way to pr on t Offc button, and n t popup mnu coo t Sav A altrnatv and tn t Macroactvatd Excl Workt (pla Fgur 2). In t way, t Excl fl avd n a format tat allow you to work wt t fl mnu n t futur. nam t fl and procd to work wt your projct. Fgur 2: Makng a nw fl n wc your data wll b avd. Now t tm to ntr nformaton and nput data n t workt. On t top part of t workt, you may ntr t projct ID (for xampl, cutomr nam, quotaton numbr, or otr nformaton tat mportant, tc), a markd n Fgur 3.

4 4 Fgur 3: Projct nformaton can b ntrd n t wt zon on t top of t workt. T colour of t program av a crtan manng. In cll tat ar markd yllow, you can ntr or cang numbr. Cll tat av otr colour cannot b cangd. T frt column calld Loop (column B n t Excl fl). T column allow t loop numbr to b cangd. T dfault ttng manfold nr : loop nr, for xampl 1:3 man t trd loop on manfold 1. You can cang to otr numbr or xpron n t column. If you w to nrt otr ymbol tan numbr, you may nd to plac quot mark around t ymbol (for xampl 1:A ratr tan jut 1:A). In t cond column, t typ of ytm ud can b con from a croll mnu (column C n t Excl fl). Tr a varty of ytm, ac avng dffrnt pp pacng, pp dmnon and panl tckn. Uually, t am typ of panl ud n a projct. T nam of t panl follow a crtan pattrn. T ar calld Panl and ar followd by four numbr. T frt two numbr ndcat t xtrnal damtr of t pp and t lattr two numbr rprnt t gt of t panl (t maur ar n mllmtr). T lat four caractr rprnt t pp pacng, alo n mllmtr. So, wn t followng panl own: Panl t man tat a 16 mm pp ud, wt a pacng of 192 mm, and tat t panl 25 mm g.

5 5 In t am mannr, Panl t tn panl, buldng 13 mm n gt and a a 12 mm pp wt t pacng 192 mm. A trd column (column D n t Excl fl) a a croll mnu for t coc of matral layr tat ar put onto t floor atng panl. In a projct, varou zon n t buldng can av dffrnt matral. Not tat t urfac matral av a larg nflunc on t watr tmpratur. A valu of t trmal rtanc of t ubfloor mut b ntrd n t fourt column (E n t Excl fl). T paramtr calld T and a t unt m²k/w. If t Uvalu of t floor contructon known, t trmal rtanc t nvr of t Uvalu. If t Uvalu not known, tr n t program a prad t tat lp to calculat t valu f t z of t buldng and t matral typ and tckn ar gvn (pla Fgur 4 on ow t accd). Fgur 4: T pradt T for calculaton of floor contructon trmal rtanc can b accd by clckng on T at t bottom lft d of t Excl ntrfac. T valu ar n t ca calculatd accordng to tandard EN ISO (2007) Trmal prformanc of buldng Hat tranfr va t ground Calculaton mtod.it pobl to calculat t trmal rtanc for: Intrmdat floor (upndd floor btwn tory) Slab on ground Cllar Crawl pac

6 6 T nput rqurd t tckn of varou matral layr and occaonally t gomtry of t foundaton of t buldng (pla Fgur 5). Wn t T valu tabld ( t dark blu fld on t rgt and d of t dplay), tat valu can b ntrd n t prvou workt. Intrmdat floor Tckn Coo matral layr tanc (m) (m² K/W) 0 Matral data 0 Matral data 0 Matral data 0 Matral data 0 Matral data 0 Matral data 0 Matral data T = m² K/W 0 Matral data Slab on ground Tckn Matral layr n contructon tanc Jont btwn wall and lab (m) xcludng t ground (m² K/W) Coo trmal brdg typ Input lngt (m): 0 0 Matral data Input wdt (m): 0 0 Matral data y = 0 W/m K 0 Matral data 0 Matral data 0 Matral data Ground typ 0 Matral data Morn 0 Matral data 0 Matral data Sum: T = m² K/W Uvalu: W/m² K Fgur 5: Snapot of two tabl ud for calculatng t trmal rtanc of contructon undrnat t panl. Gong back to t workt Manfold1, t T valu ntrd n column E. In t nxt column F, t dgn ndoor tmpratur to b gvn. Column G for t dgn tmpratur tat blow or urround t contructon undrnat t floor atng ytm. T may b an ndoor tmpratur f t contructon an ntrmdat floor tat parat on apartmnt from t otr. It may b t man outdoor tmpratur of t atng aon f t contructon a lab on ground. In otr word, t not vdnt tat t tmpratur tat ntrd n t column t dgn outdoor tmpratur. In t nxt column, I, t atng or coolng rqurmnt at dgn condton a to b gvn to t program. T valu uually calculatd on ba of at lo du to tranmon Uvalu and trmal brdg (( ) ( )) and vntlaton( ( )) and dvdd by t atd floor ara. In ca of atng, t valu potv. In t ca of coolng, t valu ngatv. T dgn tmpratur drop ntrd n column J. Commonly t tmpratur drop gvn valu btwn 5 10 C. In Flooré projct, 7 C oftn con at dgn condton. Agan, n ca of atng, t valu potv and ngatv for coolng.

7 7 Fnally, pp lngt ar gvn n t lat two column, L and M. L n n column L part of t pp tat do not mt nrgy. A dfault valu of 2 m ud, rprntng wr t pp lav t floor and connctd to t manfold. T part do not partcpat n t at balanc of t buldng, but gnrat a prur lo. In column M, t lngt of t pp tat actvly mt or aborb at to b nrtd. Wt t don, t ncary nput for a loop compltd. Lt look at an xampl of wat com nxt. In Fgur 6, t tn ytm wt panl ud n two loop. On loop covrd wt tl and t otr wt 15 mm parqut. T rt of t nput data t am for t two loop. Wn t valu av bn ntrd, tr appar a numbr for ac loop n column P. T t optmum upply tmpratur for t loop, bad on t nput data. In t ca, t wood floor wll rqur 47 C wl t tl floor only nd 38 C to fulfl t am rqurmnt. Wn connctd to t am manfold, w av to coo a common upply tmpratur for bot loop. Trfor, you fnd on row 19 t txt Coo upply tmp and n rd coo. If a upply tmpratur not con, no rult ar dplayd n t tabl. Lngt Tmp Hatng /coolng Flow and prur lo Loop Sytm Surfac T T T q DT Ln La Ltot To T Tr q Tot Pow Dp Flow Kv dp Turn Vol nr. Typ Matral m²k/w C C W/m² C m m m C C C W/m² W/m² kw kpa l/mn m³/ mbar lt 1:1 Panl Tl 812 mm :2 Panl Parqut 15 mm; papr flt; PEfol :3 1:4 1:5 1:6 1:7 1:8 1:9 1:10 Max opt tmp: 47 C Flud typ Watr Powr 0,00 kw Pp rougn PEX pp 0,007 mm Coo upply tmp: C coo Total flow 0 l/mn Prur lo Fgur 7: A common upply tmpratur a to b con for t loop of t manfold. 0,0 kpa Supply tmp C Pp lngt 144 m turn tmp 0 C Flud volum 0,0 ltr By gvng t maxmum upply tmpratur, all atng rqurmnt wll b fulflld. Hr, t valu of 47 C gvn and all calculatd valu for t loop ar own. W fnd out t followng: In column T, t fulflld rqurmnt ar dplayd. For t wood floor, t rqurd 60 W/m² ar uppld. Howvr, nc t upply watr tmpratur gr tan t optmal for t tld floor, t currnt tatu wll b abl to fulfl 96 W/m². T loop wll nd a trmotat to rduc at mon. Altrnatvly, t dgn tmpratur drop n column J can b ncrad.

8 8 T column n U ow t nw total rqurmnt. Snc t at lo calculaton do not nclud lo from ytm (bng floor atng, convctor, radator, tc), t fact tat t floor dlbratly atd wll cau an xtra at lo. T dffrnc n at lo btwn column U and T t xtra at lo tat gnratd by t ytm. Column V ow t ntr powr tat mttd by t loop. Lngt Tmp Hatng /coolng Flow and prur lo Loop Sytm Surfac T T T q DT Ln La Ltot To T Tr q Tot Pow Dp Flow Kv dp Turn Vol nr. Typ Matral m²k/w C C W/m² C m m m C C C W/m² W/m² kw kpa l/mn m³/ mbar lt 1:1 Panl Tl 812 mm ,4 21 2,9 1,2 20,55 2,5 8,1 1:2 Panl Parqut 15 mm; papr flt; PEfol ,9 9,4 1,9 0,3 123,7 0,3 8,1 1:3 1:4 1:5 1:6 1:7 1:8 1:9 1:10 Max opt tmp: 47 C Flud typ Watr Powr 2,31 kw Pp rougn PEX pp 0,007 mm Coo upply tmp:47 C Total flow 4,7 l/mn Prur lo 22,5 kpa Supply tmp 47 C Pp lngt 144 m turn tmp 40 C Flud volum 16,3 ltr Fgur 8: Wn t upply tmpratur of t manfold ntrd, calculatd data dplayd n t tabl. T tabl alo dplay t prur drop n t loop (column X) and t flow (column Y). T amount of watr tat ndd n ac loop dplayd n column AC. If a Flooré manfold ud, t output data n column Z, AA and AB can b ud to adjut flow n t loop. Prmarly column AB, ow t amount of turn of t valv (from ntally ut poton) tat ndd to contrct flow. 2,5 turn man tat t valv fully opn. At t bottom part of t dplay, glgtd n grn, t paramtr for t wol ytm (manfold and all loop) ar dplayd. Som commnt on t panl A trcky part n dgn work to undrtand t rol of t nulaton capablty of t varou panl. Snc t prform a nulatng matral, t atng rqurmnt wll rduc n accordanc to t nulaton capacty of t panl tat wll b ntalld. Lt av a look at an xampl... all paramtr ar t am xcpt for t panl typ tat wll b ud. Fgur 9 ow t nput, wr t atng rqurmnt t to b t am ndpndntly of wat typ of panl ud.

9 9 Lngt Tmp Hatng /coolng Flow and prur lo Loop Sytm Surfac T T T q DT Ln La Ltot To T Tr q Tot Pow Dp Flow Kv dp Turn Vol nr. Typ Matral m²k/w C C W/m² C m m m C C C W/m² W/m² kw kpa l/mn m³/ mbar lt 1:1 Panl Tl 812 mm :2 Panl Tl 812 mm :3 Panl Tl 812 mm :4 1:5 1:6 1:7 1:8 1:9 1:10 Max opt tmp: 39 C Flud typ Watr Powr 0,00 kw Pp rougn PEX pp 0,007 mm Coo upply tmp: C coo Total flow 0,0 l/mn Prur lo Fgur 9: T only dffrnc n nput t panl tckn. T optmal tmpratur ncra wt panl tckn! A n n Fgur 9, t optmal upply tmpratur ncra wt t tckn of t panl wc m to b n contradcton to t functon of ncrad trmal nulaton. Howvr, tr on apct tat a not bn condrd r and tat t nflunc of t ncrad nulaton on t atng rqurmnt, wc n t ca t am (60 W/m²). T trmal nulaton of t varou panl own n Tabl 1. Obrv tat t pp z and pacng av nflunc on t nulaton valu obvouly ncrad pp z dcra t nulaton prformanc. 0,0 kpa Supply tmp C Pp lngt 216 m turn tmp 0 C Flud volum 0,0 ltr Tabl 1: Panl typ and tmatd trmal rtanc of ac panl. Panl typ Trmal rtanc [m²k/w] Panl ,192 Panl ,102 Panl ,672 Panl ,440 Panl ,242 Panl ,609 Panl ,410 Now, f t orgnal contructon a t trmal rtanc T = 3,00 m²k/w, t valu wll ncra f xtra nulaton placd on t. Alo, t atng rqurmnt wll rduc, nc t tranmon lo troug t floor wll b rducd. T cang du to t nrton of panl ar dplayd n Tabl 2.

10 10 Tabl 2: Cang n valu du to t panl. Panl typ Nw T [m²k/w] Nw q rq [W/m²] Panl ,242 59,1 Panl ,609 58,0 Panl ,410 56,3 T nomnal atng rqurmnt n t xampl 60 W/m². Wtn t rqurmnt, t at lo troug t floor contructon ncludd. T lo can b tmatd troug t quaton ( ) (1) In our ca, t corrpond to (kp n mnd totally 60 W/m²) ( ( )) (2) Snc t valu of T n Equaton 1 wll ncra, t total atng rqurmnt by man of Equaton 2 wll dcra, a own n Tabl 2. Uually, for t tn panl 1213 and 1617, t not practcally jutfd to mak t corrcton nc t trmal nulaton of t panl ar bacally nglgbl. Inrton of t nw valu n t calculaton procdur llutratd n Fgur 10. Hr, t coc of t upply tmpratur alo nrtd nc t valu common for all oluton (t upply tmpratur mportant to fulfl atng rqurmnt abov t floor, wra ground at lo ar compnatd by ncrad watr flow n t loop). T rult bcom logcal aftr corrcton of t atng rqurmnt. Lngt Tmp Hatng /coolng Flow and prur lo Loop Sytm Surfac T T T q DT Ln La Ltot To T Tr q Tot Pow Dp Flow Kv dp Turn Vol nr. Typ Matral m²k/w C C W/m² C m m m C C C W/m² W/m² kw kpa l/mn m³/ mbar lt 1:1 Panl Lamnat 8 mm; papr flt; PEfol ,93 9,6 1,9 1,2 9,0 2,5 8,1 1:2 Panl Lamnat 8 mm; papr flt; PEfol ,85 8,7 1,7 0,8 16,9 0,9 8,1 1:3 Panl Lamnat 8 mm; papr flt; PEfol ,83 8,5 1,7 0,7 18,8 0,8 8,1 1:4 1:5 1:6 1:7 1:8 1:9 1:10 Max opt tmp: 43 C Flud typ Watr Powr 2,61 kw Pp rougn PEX pp 0,007 mm Coo upply tmp: 43 C Total flow 5,3 l/mn Prur lo 10,6 kpa Supply tmp 43 C Pp lngt 216 m turn tmp 36 C Flud volum 24,4 ltr Fgur 10: Nw valu bad on a corrctd atd rqurmnt.

11 T rult ow tat t tckr panl gv a ubtantally rducd total atng rqurmnt (calld Tot, column U and alo n n Pow, column V). T dffrnc n rqurmnt mply du to tat t ground lo ar l wt t tckr panl. Pla not tat all valu tat ar own (and alo t nrtd upply tmpratur) do not ow dcmal valu and may appar rrgular wn roundd off to t nart ntgr. 11

12 12 APPENDIX 1 Flooré dgn program modl Am T rport prnt t modl tat ud n Flooré dgn program. T modl condr upward at dpaton, downward lo (ncludng t lo du to tat t floor atd by t ytm) and ytm tmpratur. T tmpratur drop along a loop tmatd wt an xponntal functon. A tarcrcut modl Undrlyng aumpton n t modl ar t followng: T modl u a tadytat approac; T tmpratur of t ntrnal and xtrnal nvronmnt ar unform (contant) n tm and n pac; T atng rqurmnt unform n t zon. T followng nput ndd for t modl to gv rult: T atng rqurmnt of t zon (tranmon and vntlaton lo) calculatd on ba of atd floor ara; Dgn tmpratur drop along t loop; Dgn ntrnal and xtrnal nvronmnt tmpratur; T trmal rtanc of t floor contructon blow t floor atng ytm. T modl bad on a trmal rtanc tar crcut, a dplayd n Fgur 1.1. Tmpratur ar rprntd by t ymbol, trmal rtanc by and at flow by. Indx tand for ntrnal nvronmnt, ndx for xtrnal nvronmnt (t may b t annual man ground tmpratur or a calculatd crawlpac tmpratur or tmpratur of a atd zon) and ndx for ourc, n t ca t watr tmpratur. Star crcut tmpratur a rprntatv tmpratur of t plan wr t pp ar tuatd and a no drct rlvanc a a dgn paramtr (t mor a modl paramtr). n

13 13 Snc t tmpratur of t watr dcra wlt travllng n t pp, t mportant to account for wc ourc tmpratur condrd. Trfor, t tmpratur wll b a functon of t dtanc from pp nlt, r rprntd by x. x nx Fgur 1.1: T tarapd trmal rtanc ntwork rprntng t flow pat of at n t floor contructon. For a lc of t floor contructon wc tudd at a dtanc x from t loop nlt and avng t tckn dx and t wdt (t pp pacng), t at flow occurrng upward (r dnotd by t mall at flow ) troug t floor urfac = x dx In t am mannr, t downward lo n = x dx n W (1.1) W (1.2) T total at flow troug t pp, wc compnat for t upward and downward at flow, pa troug t trmal rtanc. T trmal

14 14 rtanc account for t contructon (ncludng t ytm) ablty to conduct at dway. Howvr, t dfnd on ba of t floor urfac, ara.. pr quar mtr floorng. T law of nrgy conrvaton gv tat So tat x = x x x = x x dx n dx n W (1.3) W (1.4) T at tranfr from t bulk watr tmpratur n t pp, to t tar crcut tmpratur n x, pa troug accordng to t followng: dx x = x x By olvng for n x, quaton 5 wll gv tat n W (1.5) o x = x C n dx (1.6) Inrton of t xpron for quaton, n x n quaton 1.4 wll rndr t followng 1 1 dx x x = W (1.7) Howvr, t at tat tranmttd troug com from watr n t pp tat long tmpratur ovr t dtanc dx. T cang n tmpratur dnotd by d and ngatv wn t tmpratur drop along t loop. T rlatonp btwn at flow and tmpratur drop x = M c d x pw W (1.8)

15 15 wr M t ma flow rat of watr n t pp and capacty of watr. c pw t pcfc at In combnaton wt quaton 1.3, t tmpratur drop dpndnt on t ntrnal and xtrnal tmpratur (a n n Fgur 1.2), a wll a t trmal rtanc. Inrton of quaton (1.8) nto quaton (1.7) gv aftr om tdyng up tat x d x = M c dx pw (1.9) Spcal attnton gvn to t trm wc r namd kv, r dfnd a o = C kv (1.10) T gnral oluton of t ntgral of quaton 9 gvn a M c pw x = o C kv n kv x (1.11) Tmp d 0 dx L Dtanc Fgur 1.2: Tmpratur drop of t watr durng t dtanc dx. T drop du to at mon to t ntrnal and xtrnal nvronmnt.

16 16 Equaton 1.11 ow tat at t nlt of t loop ( x = 0), t tmpratur n. If t loop ndl, x, t tmpratur bcom kv. In prncpl, kv t tmpratur tat obtand n t plan of t pp wn t ytm turnd off. T t ca wr t at tranfr ondmnonal, drctd from t ndoor nvronmnt and downward troug t ntr floor contructon. Intgraton of quaton 9, gvn tat t loop a t lngt L and t dgn tmpratur drop D along t loop dtanc, gv t total powr tat t loop mt, r xprd by quaton M c D = L D pw n ln kv out kv W (1.12) T outlt tmpratur out can b ubttutd wt t xpron n D. T powr of t upward at flow = L D n ln out kv kv W (1.13) And of t downward at flow = L D n ln out kv kv W (1.14) Equaton 13 can b ud to dtrmn t upply tmpratur n, gvn tat t drd upward powr output q = L ) and t maxmum tmpratur drop tn (or dnty of at flow D along t loop con. T upply tmpratur n = kv 1 D q D o C (1.15)

17 17 T dnty of at flow (at flux), q, calculatd from t atng rqurmnt q = L accordng to t followng quaton: at dgn condton, dgn dgn q 2 = q U m dgn g W (1.16) wr t Uvalu of t floor/ground contructon n nc U g 1 2 W m K (1.17) T Uvalu can b tmatd by u of EN ISO 13370:2007 Trmal prformanc of buldng Hat tranfr va t ground Calculaton mtod Not tat dgn, n otr word, tat t um of at mttd upward and downward ar largr tan t atng rqurmnt of zon. T raon tat a at lo calculaton at dgn condton, tat yld, do not condr t fact tat t floor contructon actvly atd. By atng t contructon, an xtra at lo gnratd. T at lo quantfd by t followng quaton, uc tat dgn q xtra = D ln n out kv kv kv 2 W m (1.18) or q xtra = D n kv ln out kv U g (1.19) Dtrmnng t trmal rtanc of t tarcrcut T rtanc n t tarntwork modl can b obtand by two man: To prform at powr and tmpratur maurmnt; And/or to prform mulaton of two dmnonal at flow n contructon wt ntgratd at ourc. A maurmnt rqur mmn rourc, mulaton ar fatr and ar to analy. Howvr, mulaton may not b rlabl nc a numbr of aumpton

18 18 av to b prformd. T mot ffctv mtod to combn maurmnt and mulaton. T workng tp ud r ar t followng: Prform maurmnt on a lmtd amount of prdfnd ca. Maurmnt nvolv montorng uppld powr and tmpratur undr controlld nvronmntal condton; Analy maurmnt data to valdat mulaton modl; Prform mulaton for a larg numbr of ca bad on t xprnc and valdatd modl from t maurmnt. T procdur common. Exprnc from a fld tral and fnt dffrnc modl for a contant powr cabl for t Flooréco ytm ar avalabl from t Marma projct (Akandr t al 1994). By ung vrfd modl, mulaton can b ud for multpl typ of floor contructon and floorng matral. T rult ar ud to adapt t paramtr of t tarmodl for ffctv u. T mportant paramtr to calculat ar and. T rtanc undr t floor atng ytm,, can b tmatd by ung U valu calculaton a pcfd by EN ISO 13370:1998 (at lo to t ground) or for ntrmdat floor wt tradtonal ondmnonal Uvalu calculaton. Fnt dffrnc modllng Wn modllng n fnt dffrnc, work facltatd f a rprntatv part/porton of t actual ytm condrd, for xampl (Blombrg 1996). Floor atng ytm ar rpttv n layout, o t mor rourcful to lct a mall cton ntad of modllng t ntr volum n wc t floor atng ytm ntalld. T only xcpton for t n ara tat may contan trmal brdg, uc a jont btwn upndd floor and xtrnal wall wr t dgr of nulaton locally n t wall mall or nonxtnt. In floor atng applcaton, two dmnonal at tranfr program ar uffcnt for ffctv and accurat modllng. T coc of wc part of t ytm tat condrd to b rprntatv dpndnt on t ymmtry of t otrm n t contructon. Commonly, t found wtn t dtanc of a alf pacng dtanc way from t pp, a own n fgur 1.3.

19 19 Fgur 1.3: Cro cton of a floor contructon wt a urfacmountd floor atng ytm wr pp pacng a t valu. T dark fram dpct an ara wt otrm tat ymmtrc wt ngbourng pp. T dad fram ow t ymmtrc ara for t condrd cabl. T ara wtn t dad fram ntrd a a modl n t fnt dffrnc program. qurd data ar matral gomtry (matral layr tckn), matral trmal conductvty and utabl boundary condton. Two calculaton av to b prformd pr contructon and ytm typ, n wc t boundary condton ar vard. For t uppr urfac, t ntror urfac trmal rtanc a to b gvn a valu. In practcal calculaton, a valu of 0,09 0,10 m 2 K/W can b ud. Mor xact valu ar gvn by an quaton n EN T boundary condton ar llutratd n Fgur 4 wt valu pcfd n Tabl 1.1 for t two calculaton. Adabatc urfac man tat tr no at xcang wt t urroundng (no at pa t urfac).

20 20 Tabl 1.1: Combnaton of boundary condton to calculat trmal rtanc of t tarntwork. T at flow dnt ar dfnd a potv n t flow drcton a vwd n Fgur 1. Ca Uppr Lowr Pp urfac urfac urfac 1 1 C 0 C Adabatc C 0 C 1 C 2 Calculatd at flow from numrc modl W and 2 W Uppr urfac boundary Pp urfac boundary Adabat Adabat Lowr urfac boundary /2 Fgur 1.4: T boundary condton of a typcal modl of a floor atd contructon. Wn t calculaton av bn prformd, t t of quaton a ltd blow wll gv t trmal rtanc, provdd tat 1, 2 and 2 av bn calculatd accordng to t boundary condton xprd n Tabl = m K W 2 2 (1.20) 1 m 2 K W = 2 (1.21) = m K W 2 2 (1.22)

21 21 frnc Akandr J., Lacour C., Mao G. and Joannon G. (1994). Ett lbarat golvvärmytm Mätnngar oc bräknngmodllr. Dpt. of Buldng Tcnology, KTH, Stockolm, Swdn. (In Swd). Blombrg T. (1996). Hat conduton n two and tr dmnon Computr modllng of buldng pyc applcaton. port TVBH1008. Dpt. of Buldng Pyc, LTH, Lund, Swdn. EN ISO (2007). Trmal prformanc of buldng Hat tranfr va t ground Calculaton mtod. Europan Commtt of Standardaton (CEN), Brul, Blgum.