* KorneliaCabała,SebastianZaworski,M.Sc.Eng.JolantaGintowt,InstituteofMaterialsandBuildingStructures,FacultyofCivilEngineering,CracowUniversityofTechnology.
TECHNICAL TRANSACTIONSCIVIL ENGINEERING
5-B/2014
CZASOPISMO TECHNICZNEBUDOWNICTWO
KORNELIACABAŁA,SEBASTIANZAWORSKI,JOLANTAGINTOWT*
THEINFLUENCEOFFITTINGOFAWINDOWONAHEATTRANSFERCOEFFICIENTANDANENERGYBALANCE
OFABUILDING
WPŁYWMONTAŻUOKIENNASTRUMIEŃCIEPŁA IBILANSENERGETYCZNYBUDYNKU
A b s t r a c t
Theprojectconcernswindowsandtheirproperties.Fourwindowswereconsideredtoprovidecomputations.Twoofthemwerecommonwindowsandtheothertwo–passivewindows.Theanalysis focusesona roleofafitting inheat losses,explains importantaspectsofchoosingawindowandshowsmain typesofmethodsofmountingawindow.Thepaperproveshowbig the influenceoffittingawindowisonaheat transfercoefficientvalueandshowswhatthelossesstemingfrominproperfittingare.Theprojectsubmitsthatfittingfactorshouldbeconsideredwhilecalculatingtheheattransfercoefficientvalueandthatwindowsoughttobemountedinaninsulationtominimizeheatlosses.
Keywords: heat transfer, passive building, thermal bridges, montage, heat balance, window
S t r e s z c z e n i e
Analizadotyczymontażuokien.Obliczeniaprzeprowadzonodlaczterechtypówokien:dwóchpowszechniestosowanychidwóchpasywnych.Projektkoncentrujesięnarolimontażuwstra-tachciepła,wyjaśnia,cojestważneprzywyborzeoknaiokreśla,jakiesągłównekonsekwen-cje.Analizapodnosiżezagadnieniemontażuoknapowinnobyćbranepoduwagęnaetapieobliczeńwspółczynnikaprzenikaniaciepłaokna,aniedopieroprzyobliczaniuwartościwspół-czynnikaprzenoszeniaciepła.
Słowa kluczowe: przepływ ciepła, budynek pasywny, mostek termiczny, montaż, bilans energe-tyczny, okno
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Designations
Ag – surfaceglazing[m2]Af – surfaceframe[m2]U – theheattransfercoefficient[W/m2K]Uf – theheattransfercoefficientforaframe[W/m2K]Af – theareaofaframe[m2]Ψg – thelinearheattransfercoefficient(framebonding)[W/mK]Sg – thelengthof linearheattransfercoefficient(framebonding)[m],Sf – thelengthofathermalbridgealongwindowframe–wallbonding[m]Yf – thelinearheattransfercoefficientofathermal(wallbonding)[W/mK]lf – thelengthof linearheattransfercoefficient(wallbonding)[m]g – coefficientofasolarradiationpermeability(here:g=1)z – shadingcoefficient(here:z=1)ΔT – thetemperaturedifferencebetweeninsideandoutsidethebuilding(here:ΔT=35K)t – numberofhoursinamonth(here:t=720h)
1. Introduction
1.1.Topicoftheproject
Thetopicoftheprojectistheinfluenceoffittingawindowonaheattransfercoefficientandanenergybalanceofabuilding.Itisessentialforeachhousetochoosethebesttypeofawindowandtofititinaproperway.Itisnotenoughtochoosewindowswithhighinsulationpropertiesandgreatenergybalance–butthesurroundingofawindowanditsfittingarealsoimportant.Theyshouldbemountedinsuchawaythateliminatesthermalbridges[1,12,13]andthatmakesfittingconnectionsimpermeable[1–6].
Criteria of assessing the window: impermeability, fitting, heat transfer coefficient U[W/m2K],coefficientofasolarradiationpermeabilityg,shadingcoefficientz,heatlossQ[kWh].Theanalysisisconnectedwithtwofactorsmentionedabove:fittingandheatloss.
1.2.Meansofmountingawindow:
Althoughthefirstoneiscausingthegreatestheatlosses,itisthemostpopularwayofmountinginPoland[7–9,11,12].Itiscalled“traditionalfitting”,whereawindowislocatedoninternaledgeofthewall.ItisshowninFig.1a.Theamountofheatlossthroughthermalbridgeswill be smaller in case of “flushfitting”,where thewindow is located along theisolation,whichisnotcoveringtheframeofthewindowasitisshowninFig.1b.Windowsshouldbesituatedontheoutsideedgeofthewalltostayintheinsulatinglayer,whichisadditionally covering the frameof thewindow.This solution is recommended in passivebuildings[1,10,12].Inthiscasewindowsshouldnotbeopenable,asthesuitableamountofairisprovidedbyaspecialcirculatingsystem.Makingthewindowsopenablewouldalsocauseaproblemofstability.That iswhythesolutioncomeswithanchorswhichhelpthewindowstayintheinsulationasshowninFig.1c.
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Fig.1a)Traditionalfitting,b)Flushfitting,c)Fittinginaninsulation
2. Purpose of the project
ThepurposeoftheprojectistoshowtheinfluenceoffittingofawindowonthevalueofheattransfercoefficientandtoprovethataformulaforcalculatingtheheattransfercoefficientofthewindowwhichexistsinPolandshouldincludefittingandtakeintoaccountconsistentwith[10]amethodfordeterminingtheoutsidetemperature.
3. Theses of the project
Aninappropriatefittingofawindowcauseslargeamountsofheatlossesandatthesametimeincreasesthecostofheating.Balancinggainsandlossesthroughwindowsforpassivehouses,nearlytozero-energybuildings,shouldbecalculatedaccordingtotheformulaPHI[10].
4. Subject matter
Thesubjectmatterare fourwindows: twocommonwindows (Aluplast IDEAL® 4000 [14]andAluplastENERGETO® 4000[15])andtwopassivewindows(InternormHF®200[16]andOknoplastWINERGETICPLUS®[17]).
5. Methods of analyses
Theheattransfercoefficientcalculationsweredonebasingonthefollowingformulas:
UA U A U l
A AWg g f f g g
g f
=+ +
+∑∑∑
∑∑Ψ
(1)
Inagreementwith[12]
UU A U A s s
A Ag g f f g g f f
g f
=⋅ + ⋅ + ⋅ + ⋅
+ψ ψ
(2)
Inagreementwith[10]
a)b)c)
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Bothformulasconsiderglazing,frameandbondingglazing–frameofawindow.Theydifferfromeachotherinawaythatoneofthemdoesnotconsidertheinfluenceoffitting.
Theformulaforaheatlosscalculation:
Q U A g z s T tw w f f= ⋅ ⋅ ⋅( ) + ⋅( ) ⋅ ⋅ ⋅ −ψ ∆ 10 3 (3)
Accordingto[12]
Q U A g z T tW W= ⋅ ⋅ ⋅ ⋅ ⋅ ⋅ −∆ 10 3 (4)
Accordingto[10]
Thecalculationsofaheat loss forcommonwindowsweredonebasingon thefirstofthe formulas. That is because in Poland fitting is considered in calculations only at thisstage. Incomputationforpassivewindows thesecondformulawasused.Additionally, toshowsignificant influenceoffittingonaheat loss itwasassumedthatcommonwindowsaremountedinawall,asitisgenerallydoneinPoland.Ontheotherhanditwasassumedforpassivewindowsthattheyaremountedinaninsulation,accordingtorulesforpassivebuildings.
Forthepurposesofcomparison,thedifferenceincalculationofaheatbalanceresultingfrom the different outside temperatures has been omitted (computational temperature isselectedfrom:thecoldestandwarmestsunny/cloudyday)in[12]and[10].
6. Results
6.1.Thevalueofaheattransfercoefficient
Thechartbelowshowsavalueofaheattransfercoefficientofawindow.Itisdividedaccordingtoawindowmodel(firsttwoofthemarecommonwindowsandtheothertwoarepassivewindows)andalsoaccording toa formofacalculationformula.ThewhitecolorrepresentstheformulawhichisinlinewiththePolishnorm,whichdoesnotconsiderfitting.LightanddarkbluecolorsrepresenttheformulaaccordingtoPHPP.“Properfitting”shouldbeunderstoodasfittingwhichfulfillsrequirementsofpassivebuildings.Inturnan“improperfitting”isfittingfailingtomeetthoserequirementsofpassivebuildings.Inturnabadmontageisamontagewhichdonotsatisfythatdemands.
Analyzing the chart, one should notice that an improperly-mounted passive window(OknoplastWinergeticPlus®)hascomparablevalueofaheattransfercoefficientasawell-mountedcommonwindow(AluplastEnergeto®4000).OneAbigdifferencebetweenawell-andbadly-mountedwindowisalsoclear.Inthiscaseitequals0.432[W/m2·K](Internorm® HF200).Bothfactorsmentionedaboveshowthesignificanceofinfluenceoffittingonaheattransfercoefficientofawindow.
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Fig.2.HeattransfercoefficientU[w/m2K]T a b l e 1
Window – U coefficient
Window PN-ENISO10077-1 AccordingtoFig.1c AccordingtoFig1a
AluplastIDEAL® 4000 1.360 1.375 1.807
AluplastENERGETO® 4000 1.234 1.249 1.680
OknoplastWINERGETICPLUS® 0.800 0.815 1.246
InternormHF®200 0.699 0.714 1.146
6.2.Comparativeanalysisoftheheatlossthroughwindows
Thechartshowsaheatlossthroughananalyzedwindowinaperiodofonemonth. Time intervaladoptedforthepurposesofthisanalysisseemstobesufficient.Oneshouldnoticethatthedifferencebetweenapassivewindowmountedininsulationandacommonwindowmountedinawallisalmosttripledandequals91.11[kWh].Itshowshowgreatthelossescreatedbyabadfittingare.ItisshowninFig.3a.Thedifferenceresultingfromtheuseof[10]and[12]forthecalculationoftheheatdemandisapproximately 25%.(Anonlylossassociatedwithheattransferthroughwindows).Thisisavaluethatshouldnotbeignored.ThisisshowninFig.3b.
Fig.3a)Theheatdemandforheating-window[kWh],b)PHPPandPN13789methods
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7. Conclusions
Tominimizeheatlossesandtoeliminatethermalbridgeswindowsshouldbemountedinaninsulation.Thefittingshouldbeconsideredinaformulaforaheattransfercoefficientbecause fitting considerably influences its value. It seems that the use of a formula forcalculating the heat demand for passive houses, nearly-zero buildings, plus building,proposedbythePassiveHouseInstituteinDarmstadt,andenteredinthePHPP,isjustified.
R e f e r e n c e s
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