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A New Look at Residential Interior Environmental Loads

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Figure 3 Seasonal humidity r<strong>at</strong>io in Se<strong>at</strong>tle.<br />

∂( VPin) G<br />

kA<br />

------------------- = ------ – nVP ( (4)<br />

∂t ρV in – VPout) – ------ ( VP<br />

ρV in – VPin – mean)<br />

where VPin–average can be calcul<strong>at</strong>ed by assuming a moisture<br />

m<strong>at</strong>erial storage time constant τ using a weighting factor for<br />

an event <strong>at</strong> time n, as defined by TenWolde (1987) as<br />

VPin – average<br />

n = t– 1 n<br />

– --<br />

τ<br />

∑ e VPin – average<br />

n = t – 4τ<br />

= ----------------------------------------------------------------- .<br />

n = t 1 n<br />

– --<br />

τ<br />

∑ e<br />

n = t 4τ<br />

Good agreement was found using the moisture admittance<br />

model by Pl<strong>at</strong>hner (1999). More than 80% of the calcul<strong>at</strong>ed<br />

values m<strong>at</strong>ched measured values within 5%. When the<br />

model did not include the approxim<strong>at</strong>ion for absorption/<br />

desorption effects, only 60% of the simul<strong>at</strong>ed measured d<strong>at</strong>a<br />

fell within 5% of the measured d<strong>at</strong>a.<br />

Figure 4 illustr<strong>at</strong>es interior rel<strong>at</strong>ive humidity conditions<br />

th<strong>at</strong> were calcul<strong>at</strong>ed using the 10% percentile cold and hot<br />

years. The histogram show th<strong>at</strong> nearly 60% of the interior rel<strong>at</strong>ive<br />

humidity results range between 40% and 50% RH.<br />

However, close to 30% of the results show excessively high<br />

interior conditions gre<strong>at</strong>er than 60% RH. These results illustr<strong>at</strong>e<br />

the need for additional research for better understanding<br />

of the interior moisture loads.<br />

In Figure 5, histograms for both calcul<strong>at</strong>ed and measured<br />

d<strong>at</strong>a are shown for one Se<strong>at</strong>tle apartment. In the calcul<strong>at</strong>ions,<br />

it was assumed th<strong>at</strong> the building interior had an air change r<strong>at</strong>e<br />

of 0.5 and a moisture production r<strong>at</strong>e of 5 kg/day. The 10%<br />

cold year exterior we<strong>at</strong>her file was used. The agreement<br />

(5)<br />

Figure 4 Numerically gener<strong>at</strong>ed interior condition for<br />

10% percentile cold and hot years.<br />

between calcul<strong>at</strong>ed and measured could be improved if actual<br />

measured we<strong>at</strong>her d<strong>at</strong>a was used and if the air change per hour<br />

value is accordingly adjusted. The results clearly show the<br />

need to define the interior conditions more accur<strong>at</strong>ely than<br />

simply entering inputs into the equ<strong>at</strong>ions sets. The results can<br />

also be interpreted as providing a margin of safety for hygrothermal<br />

modeling, but, as will be discussed below, this margin<br />

may be too gre<strong>at</strong> in certain clim<strong>at</strong>ic regions and lead to design<br />

decisions th<strong>at</strong> may neg<strong>at</strong>ively influence exterior wall hygrothermal<br />

performance.<br />

6 Buildings IX

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