Assessment of displacement ventilation systems in airborne infection risk in hospital rooms
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RESEARCH ARTICLE
Assessmen o displacemen en ila ion
sys ems in ai bo ne in ec ion isk in hospi al
ooms
Jose
´Manuel Villa uelaID
1
*, Ine
´s Olmedo
2
, Fe
´lix A. Be langaID
2
, Manuel Ruiz de AdanaID
2
1ITAP, Depa men o Ene gy and Fluid Mechanics, Uni e si y o Valladolid, Valladolid, Spain, 2Depa men
o Physical Chemis y and Applied The modynamics, Uni e si y o Co doba, Co
´ doba, Spain
*[email p o ec ed]
Abs ac
E icien en ila ion in hospi al ai bo ne isola ion ooms is impo an is-à- is dec easing he
isk o c oss in ec ion and educing ene gy consump ion. This pape analyses he sui abili y
o using a displacemen en ila ion s a egy in ai bo ne in ec ion isola ion ooms, ocusing
on heal h ca e wo ke exposu e o pa hogens exhaled by in ec ed pa ien s. The analysis is
mainly based on nume ical simula ion esul s ob ained wi h he suppo o a 3-D ansien
nume ical model alida ed using expe imen al da a. A he mal b ea hing manikin lying on a
bed ep esen s he sou ce pa ien and ano he he mal b ea hing manikin ep esen s he
exposed indi idual s anding beside he bed and acing he pa ien . A adian wall ep esen s
an ex e nal wall exposed o sola adia ion. The ai change e iciency index and con aminan
emo al e ec i eness indices and inhala ion by he heal h ca e wo ke o con aminan s
exhaled by he pa ien a e conside ed in a ypical ai bo ne in ec ion isola ion oom se up
wi h h ee ai enewal a es (6 h
-1
, 9 h
-1
and 12 h
-1
), wo exhaus opening posi ions and wo
heal h ca e wo ke posi ions. Resul s show ha he adian wall signi ican ly a ec s he ai
low pa e n and con aminan dispe sion. The lockup phenomenon occu s a he inhala ion
heigh o he s anding manikin. Displacemen en ila ion enews he ai o he ai bo ne isola-
ion oom and elimina es he exhaled pollu an s e icien ly, bu is a a disad an age com-
pa ed o o he en ila ion s a egies when he isk o exposu e is aken in o accoun .
In oduc ion
Hospi al acili ies a e places wi h a high isk o c oss in ec ion be ween hei occupan s. S udies
in Eu opean hospi als [1] indica e ha nosocomial in ec ions con ibu e signi ican ly o mo -
bidi y and mo ali y a es and ha many o hese in ec ions a e ansmi ed by ai bo ne pa ho-
gens [2]. E e yday pulmona y ac i i ies, like b ea hing [3], coughing [4,5], sneezing [6],
alking [3], a e sou ces o bio-ae osols [7] ha may be laden wi h he pa hogens esponsible
o in ec ious disease ansmission. Once he bio-ae osols lea e he in ec ed pe son hei a e
depends on mul iple and complex ac o s [7–10]. One o he mos impo an ac o s is
PLOS ONE | h ps://doi.o g/10.1371/jou nal.pone.0211390 Janua y 30, 2019 1 / 18
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OPEN ACCESS
Ci a ion: Villa uela JM, Olmedo I, Be langa FA,
Ruiz de Adana M (2019) Assessmen o
displacemen en ila ion sys ems in ai bo ne
in ec ion isk in hospi al ooms. PLoS ONE 14(1):
e0211390. h ps://doi.o g/10.1371/jou nal.
pone.0211390
Edi o : Es eban Tlelo-Cuau le, Ins i u o Nacional de
As o isica Op ica y Elec onica, MEXICO
Recei ed: Oc obe 31, 2018
Accep ed: Janua y 11, 2019
Published: Janua y 30, 2019
Copy igh : ©2019 Villa uela e al. This is an open
access a icle dis ibu ed unde he e ms o he
C ea i e Commons A ibu ion License, which
pe mi s un es ic ed use, dis ibu ion, and
ep oduc ion in any medium, p o ided he o iginal
au ho and sou ce a e c edi ed.
Da a A ailabili y S a emen : All ele an da a a e
wi hin he manusc ip .
Funding: The au ho s acknowledge he inancial
suppo ecei ed om he Minis y o Finance and
Compe i i eness, S a e Sec e a ia o Resea ch,
De elopmen and Inno a ion, Spain, he Na ional
R&D p ojec wi h e e ence DPI2014-55357-C2-1-
R, en i led “Ven ila ion sys em in luence on
ai bo ne ansmission o human exhaled
bioae osols. C oss in ec ion isk e alua ion”. This
p ojec is co- inanced by he Eu opean Regional
undoub edly he ai low pa e n, bo h in he oom as a whole as well as in he mic oen i on-
men a ound he sou ce pa ien and he ulne able indi idual.
Ai bo ne in ec ion isola ion oom
I he app op ia e measu es a e no aken, he bio-ae osols emi ed by pa ien s hospi alized
wi h an ai bo ne disease may be dispe sed uncon ollably a ound he ai bo ne in ec ion isola-
ion oom (AIIR) o he es o he hospi al [11]. Di e en me hods and echnologies a e a ail-
able o p o ide adequa e p o ec ion o people who pass h ough a hospi al [12]. One o he
ecommended measu es is o main ain a nega i e p essu e wi h espec o he su ounding
a ea so ha ai lows in o he oom and no in he opposi e di ec ion when doo s a e open.
Un o una ely, nega i e p essu e b ie ly disappea s du ing doo ope a ion and ai leakage is
i ually ine i able [13]. Many guidelines and egula ions [14–18] ela ed o ai bo ne isola ion
ooms (AIIR) ad ise o equi e ha access o he oom should be h ough an an e oom in
o de o minimize escape o con amina ed ai [19,20]. Ye nei he he nega i e p essu e no
he an e oom p e en s he isk o he pe son en e ing he AIIR. Only pe sonal sel -p o ec ion
measu es and a sui able en ila ion s a egy educe he possibili y o con agion [21].
Wi h ega d o en ila ion, one common ecommenda ion is o use high enewal a es o
dilu e and emo e pa hogens [22]. Howe e , his does no p e en he appea ance o s agnan
zones and sho -ci cui ing, esul ing in “clean” and “pollu ed” a eas o exhaled pa hogens wi h
he subsequen isk o high c oss-in ec ion a es. Se e al s udies indica e ha he design o a
en ila ion sys em and he esul ing ai low pa e ns play a mo e impo an ole han jus ai
enewal a es alone [23,24]. Ai low pa e ns gene a ed by en ila ion sys ems can be con-
olled, and ecen esea ch has ocused on p o iding good ai dis ibu ion a he han on
main aining high a es o ai enewal as a s a egy o educe he isk o ai bo ne con agion
[25–30].
Displacemen en ila ion
Va ious en ila ion s a egies such as mixing en ila ion (MV) and displacemen en ila ion
(DV) o e di e en possibili ies o p o ec people om ai bo ne c oss in ec ion [10,31]. MV is
he mos widely applied s a egy in hospi al pa ien ooms. Howe e , in ecen yea s DV has
eme ged as an al e na i e. Some s udies ha e shown ha DV is mo e ene gy e icien [32].
S anda disa ion associa ions ha e de eloped DV guidelines and ecommenda ions o
designe s.
DV sys ems we e ini ially de eloped o emo e he mal loads in indus ial wa ehouses due
o hei abili y o concen a e hea and pollu an s abo e he occupied zone. DV sys ems a e
cha ac e ized by he mal and mass s a i ica ion such ha hey canno be modelled wi h he
ully mixed oom ai app oach [33]. In DV, cool ai is supplied in o he lowe pa o he oom
using low impulse di use s. This slow mo ing esh ai ills he oom om below, is hea ed
and ises o he ceiling, whe e he exhaus is loca ed. The e mus be hea sou ces o DV o
wo k. As b ea hing is also a hea and pollu an sou ce, con aminan s migh be anspo ed
di ec ly o he uppe pa o he oom. DV o e s he possibili y o wo king wi h wo zones, a
low zone wi h clean ai , and an uppe zone wi h pollu an s. Some au ho s epo ha i is pos-
sible o design DV hospi al pa ien ooms ha ha e low human exposu e o bio-ae osols ha
con aining pa hogens [32,34], al hough in ce ain si ua ions high exposu e may also exis in
ooms wi h DV [35–37].
Assessmen o displacemen en ila ion sys ems in ai bo ne in ec ion isk in hospi al ooms
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De elopmen Fund (ERDF). The unde s had no
ole in s udy design, da a collec ion and analysis,
decision o publish, o p epa a ion o he
manusc ip .
Compe ing in e es s: The au ho s ha e decla ed
ha no compe ing in e es s exis .
Abb e ia ions: ACH, Ai change pe hou , h
-1
; AIIR,
Ai bo ne in ec ion isola ion oom; B, Bed; CFD,
Compu a ional luid dynamics; DD, Displacemen
di use ; DV, Displacemen en ila ion; E, Exhaus
openings loca ed on he uppe pa o he eas wall;
EN, Ven ila ion sys em con igu a ion combining E
and N; ES, Ven ila ion sys em con igu a ion
combining E and S; HCW, Heal h ca e wo ke ; IF,
In ake ac ion index; IF
PMV
, In ake ac ion index
wi h PMV; MV, Mixing en ila ion; N, Ex e nal wall
hea gain on no h wall; P, Pa ien ; PMV, Pe ec
mixing en ila ion; PDV, Pe ec displacemen
en ila ion; Q, Ai low a e in he oom, m
3
/s;
RANS, Reynolds-A e aged Na ie -S okes
equa ions; S, Ex e nal wall hea gain on sou h wall;
SM, Sou ce manikin (P); TM, Ta ge manikin
(HCW); URANS, Uns eady-RANS; W, Exhaus
openings loca ed on he uppe pa o he wes
wall; WN, Ven ila ion sys em con igu a ion
combining W and N; WS, Ven ila ion sys em
con igu a ion combining W and S; c, A e age
concen a ion o con aminan in he oom; c
e
,
Con aminan concen a ion in he exhaus ai ; D
a
,
Mass di usion coe icien , m
2
/s; ε
a
, Ai change
e iciency index; ε
c
, Con aminan emo al
e ec i eness; l
0
, La ges scale o he oom, m; τ�,
Local mean age o he ai , s; τ
n
, Nominal ime
cons an , s; V, Room olume, m
3
;
0
, Cha ac e is ic
ai eloci y, m/s; Y
P
, Mass ac ion o N
2
O in he ai
exhaled by P; Y
PMV
, Mass ac ion o N
2
O in a oom
wi h PMV.
Objec i e and me hodology
The aim o his wo k is o e alua e he sui abili y o applying he DV s a egy in AIIRs. The
analysis is mainly based on nume ical simula ion esul s ob ained wi h he suppo o compu-
a ional luid dynamics (CFD). The in e ac ion be ween he di e en ai lows -b ea hing lows
[38], con ec i e lows a ound human bodies [39], he mal plumes abo e hea sou ces, ising
bounda y laye low a he wa m wall oge he wi h la ge-scale ai mo emen s due o oom ai
low ins abili ies- is so complex ha i is di icul o app oach he p oblem di ec ly. Ini ially,
dispe sion o con aminan s exhaled by a single pe son s anding in an indoo en i onmen was
s udied [40]. La e , a second pe son acing he i s was added o analyse he in e ac ion
be ween he espi a ion lows o bo h people [41]. These wo p e ious s udies ha e enabled an
adequa e p ocedu e o be es ablished o analysing he ole o en ila ion in he isk o c oss-
in ec ion be ween pa ien and suscep ible heal h ca e wo ke caused by he ai bo ne pa hogens
exhaled du ing b ea hing in an AIIR wi h DV. Using he alida ed model, wel e di e en
nume ical es s a e ca ied ou o analyse how ai enewal a es, he posi ion o he heal h ca e
wo ke , and he posi ion o ai exhaus openings a ec he isk o c oss in ec ion.
Tes oom and expe imen al se up
The expe imen al s udy o a pa ien (P) lying on a hospi al bed and a heal h ca e wo ke
(HCW) s anding close o he bed in a ypical AIIR oom (Fig 1) [14,15,42,43] was ca ied ou
in a es oom a Co doba Uni e si y, 4.5 m (long), 3.3 m (wide), and 2.8 m (high). The wo
he mal b ea hing manikins ha e he same geome y. The o al sensible hea emi ed o each
manikin co esponds o a me abolic a e o 1 me o he HCW and 0.7 me o he pa ien , 80
W and 70 W, espec i ely. The e is an ex e nal hea gain o 500 W in he 4.5 m wall opposi e
he HCW, which ep esen s an ex e nal wall exposed o sola adia ion. The emaining walls as
well as he loo and ceiling a e adiaba ic as he chambe is inside a lab a he same
empe a u e.
A displacemen low di use (QLV-180-200-800, T ox, Ge many) a e used as supply ai
uni o he hospi al oom, and wo exhaus openings we e loca ed on he opposi e wall, jus
below he ceiling. The en ila ion sys em was se a h ee di e en ai change a es o 12, 9 and
6 ACH, supplying ai a 21.8˚C, 20.6˚C and 18.2˚C, espec i ely o main ain he same mean
oom empe a u e. Pa o he e ec i e a ea o he displacemen di use is pa ially co e ed
du ing he 9 ACH and 6 ACH es s in o de o main ain he same supply eloci y. In o ma ion
abou b ea hing manikins, measu ing ins umen s and o he s de ails o hese expe imen s can
be ound in [44].
Fig 1. Expe imen al se up. Nume ical se up o EN cases (Table 1).
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Assessmen o displacemen en ila ion sys ems in ai bo ne in ec ion isk in hospi al ooms
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Nume ical simula ion
Indices o quan i ying he en ila ion and in ec ion isk
The en ila ion sys em o a oom can pu sue di e en aims: he mal com o , ai enewal,
elimina ion o gaseous o suspended con aminan s, a oiding isk o in ec ion, e c. Depending
on he ac i i ies ca ied ou in he oom, one aim o ano he will p e ail. Speci ic indices exis
o quan i y he ex en o which each aim is achie ed.
The mos basic index is ai changes pe hou (ACH). To calcula e ACH, only he ai olume
o he oom and he ai low a e need o be known. This index is commonly used in guidelines
and ecommenda ions.
The ai change e iciency index (ε
a
) is de ined as he a io be ween he minimum and he
ac ual mean eplacemen imes and can be calcula ed om he exp ession:
εa¼ n
2 ð1Þ
whe e τ
n
=V/Q,Vis he oom olume and Qis he low a e o esh ai , i.e. τ
n
is he in e se o
he numbe o ai changes pe second, and is he a e age age o he ai in he oom. Ai
change e iciency only depends on he o e all ai low pa e n in he oom, and akes alues
be ween 0 and 1.
I , in addi ion o knowing he ACH and he ai low pa e n, he cha ac e is ics o he
con aminan and he poin o emission a e also known, hen he con aminan emo al e ec-
i eness index (ε
c
) can be used. This index can ake any posi i e alue. Assuming ha he ai
supplied o he oom is con aminan ee and ha he low is s eady, ε
c
is calcula ed by
di iding he concen a ion o pollu an in he exhaus ai c
e
by he a e age concen a ion in
oom c:
εc¼ce
cð2Þ
Finally, i he a ea o be p o ec ed is known - he su ace o a p in ed ci cui du ing manu-
ac u e, he ins umen able du ing a su gical ope a ion o he lungs o a pe son sha ing a
oom wi h ano he in ec ed pe son- he in ake ac ion (IF) index may be used. This index is
he low a e o con aminan ha c osses he su ace o be p o ec ed di ided by he low a e o
con aminan ha en e s o is gene a ed inside he oom (Benne e al., 2002). In o de o
assess he isk o c oss-in ec ion, he in ake ac ion is de ined as he p opo ion o he cumula-
i e mass o con aminan inhaled by he HCW o he mass o con aminan emi ed in he
pa ien ’s exhala ion du ing he same pe iod o ime.
IF ¼RQHCWYHCW d
RQPYPd ð3Þ
Whe e Q
HCW
, and Q
P
a e he ins an aneous b ea hing low a e o HCW and P, espec-
i ely, Y
HCW
is he ins an aneous mass ac ion o N
2
O in he HCW inhala ion ai , and Y
P
is
he ins an aneous mass ac ion o N
2
O in he pa ien ’s exhala ion ai .
Go e ning equa ions
Ai bo ne c oss in ec ion be ween occupan s is uns eady, non-iso he mal and is a h ee-dimen-
sional p oblem in ol ing wo species: ai and con aminan . As modelling ool, CFD has been
applied o simula e he uns eady ai low using he URANS me hod oge he wi h he RNG k–e
u bulence model equa ions, mean age o ai equa ion, he N
2
O mass ac ion equa ion and
includes he e ec o he mal adia ion using comme cial so wa e Ansys Fluen .
Assessmen o displacemen en ila ion sys ems in ai bo ne in ec ion isk in hospi al ooms
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The local mean age o ai τin he whole luid ield is calcula ed sol ing he ollowing conse -
a ion equa ion:
@
@ þ
!Da
� �¼1ð4Þ
whe e
!is he ai eloci y and D
a
is he mass di usion coe icien [45]. A sub ou ine sol ing
Eq (4) nume ically is w i en, and he sub ou ine is buil in o he CFD-p og am. Once he
a e age age o he ai in he whole oom is calcula ed, i is possible o di ec ly e alua e ε
a
acco ding o Eq (1). is he a e age o τin he whole oom and τ
n
can be calcula ed as he
in e se o he numbe o ai changes pe second o as he a e age o τin he ai ex ac ions.
The wo alues coincide.
The CFD-p og am models he mixing and anspo o wo chemical species, ai and N
2
O,
by sol ing equa ions desc ibing con ec ion and di usion o each componen species wi hou
eac ions. ε
c
and IF can be calcula ed di ec ly om hei de ini ions. Since he model is an-
sien , he ime e olu ion o ε
c
and IF can be calcula ed.
Radia ion is in oduced in o he CFD model using he su ace- o-su ace adia ion model
[46]. The impo ance o he mal adia ion in ai low wi h DV was examined expe imen ally in
[47]. The RNG k–εmodel ha akes in o accoun he low Reynolds-numbe e ec s in con-
junc ion wi h enhanced wall ea men ha combines a wo-laye model wi h enhanced wall
unc ions a e used in hese simula ions. P essu e- eloci y coupling was esol ed using he
PISO scheme. A second-o de implici ansien o mula ion is chosen which is uncondi ion-
ally s able wi h espec o ime-s ep size. A second-o de upwind disc e iza ion scheme is used
o all equa ions [46].
In ansien simula ions (also in expe imen s) an e o migh occu du ing s a -up and
when le ing simula ions un su icien ime o achie e cha ac e is ic la ge eddy u no e ime
[48]. The ini ial condi ions o non-s eady compu a ions a e ob ained o a s eady simula ion.
The i s 30 minu es o he ansien simula ion a e disca ded. La ge eddy u no e ime is a
cha ac e is ic imescale o he domain l
0
/
0
whe e l
0
is he la ges scale o he oom and
0
is
he cha ac e is ic eloci y. An es ima ion o
0
can be made by di iding he en ila ion low
a e by a hal sec ion o he es chambe , which gi es a la ge eddy u no e ime o i e min-
u es o 6 ACH. A la ge eddy u no e ime is in e sely p opo ional o ACH i he emaining
Table 1. Condi ions o he CFD es pe o med.
Simula ion
nomencla u e
Exhaus openings wall Radian wall ACH Supply ai low (m
3
/h) Supply ai empe a u e (˚C) Simula ion ime (min)
EN_12�Eas No h 12 500 21.8 10
ES_12 Eas Sou h
WN_12 Wes No h
WS_12 Wes Sou h
EN_09�Eas No h 9 375 20.6 15
ES_09 Eas Sou h
WN_09 Wes No h
WS_09 Wes Sou h
EN_06�Eas No h 6 250 18.2 20
ES_06 Eas Sou h
WN_06 Wes No h
WS_06 Wes Sou h
(�) Expe imen al es
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Assessmen o displacemen en ila ion sys ems in ai bo ne in ec ion isk in hospi al ooms
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pa ame e s emain unchanged. In o de o ob ain a sui able empo al a e age, o al imes o
20, 15 and 10 minu es a e simula ed o 6, 9 and 12 ACH, espec i ely (Table 1). To cap u e
he e ec s o he smalle ime scales ela ed o he b ea hing p ocess, a ime s ep o 0.02 s is
selec ed.
Compu a ional domain
The domain o he compu a ional model mimics in de ail he expe imen al geome y o he
li e-size hospi al isola ion oom. Mos o he domain is buil wi h a hexahed on mesh. A e a-
hed al mesh has been employed nea he di use and nea o he manikin’s su ace due o
hei geome y complexi y. Mesh e inemen was pe o med a ound he manikins, he
exhaus s, he walls, and he displacemen di use since high eloci y and empe a u e g adi-
en s a e expec ed. The high concen a ion, eloci y and empe a u e g adien s equi e a e y
ine local g id sys em a he manikins’ aces and in he exhala ion zones [49]. The shape o he
manikins o he nume ical simula ions ep oduces a he mal b ea hing manikin used by o h-
e s au ho s [50,51]. De ailed in o ma ion abou he manikins’ shape and mesh can be ound in
[41]. A sensi i i y s udy was ca ied ou wi h successi e e inemen s o he exhala ion zones
and a ound he displacemen di use . A inal mesh o nea ly one and a hal million cells is
used.
Bounda y condi ions
The CFD model o a pa ien and a HCW in AIIR ai h ully ep oduces he expe imen al condi-
ions [44]. The lying manikin (also known as he pa ien o sou ce manikin, SM) exhales
h ough he mou h and inhales h ough he nose. The s anding manikin (also known as he
HCW o a ge manikin, TM) exhales and inhales h ough he nose. B ea hing unc ions a e a
e y impo an poin in hese simula ions [52]. The wo manikins b ea he ollowing a sinusoi-
dal unc ion. Fo he pa ien manikin, he idal olume is 0.57 li es and he b ea hing e-
quency is 20 b ea hs/minu e. Fo he HCW manikin, he idal olume is 0.66 li es and he
b ea hing equency is 15 b ea hs/minu e. The pa ien manikin hus pe o ms ou ull b ea hs
in a 12-second pe iod and he HCW manikin h ee ull b ea hs du ing he same pe iod. Veloc-
i y is no mal and uni o m in he HCW’s nos ils and in he pa ien ’s mou h. The empe a u e
o expi ed ai in he wo manikins is 34˚C. The mass ac ion o N
2
O in he exhaled ai o he
pa ien manikin is Y
P
= 0.027.
The bounda y condi ion o he displacemen di use is a uni o m eloci y o 0.926 m/s,
which is no mal o e ical di use su aces. Fo he 12 ACH simula ions, he en i e on
a ea o he displacemen di use is used as an inle . The uppe qua e and uppe hal o he
displacemen di use on a ea a e conside ed as walls o he 9 and 6 ACH simula ions,
espec i ely, in o de o main ain he same inle eloci y [53]. The e ec i e a ea o he displace-
men di use is aken in o accoun adding he co esponding momen um/ olume sou ce in a
sub-domain in on o he di use [54].
The ai lea es he oom h ough wo exhaus openings loca ed in he same wall as he dis-
placemen di use (wes ) o in he opposi e wall (eas ). A p essu e-ou le bounda y condi ion
is imposed in he exhaus openings.
In o de o main ain he same mean indoo empe a u e o all es s, he ai is supplied a a
empe a u e o 21.8˚C, 20.6˚C, and 18.2˚C o 12, 9 and 6 ACH, espec i ely. The ceiling, loo
and all he walls excep one 4.5 m ×2.8 m wall (no h o sou h wall) a e conside ed adiaba ic.
In his non-adiaba ic wall a hea low o 39.7 W/m
2
is imposed as he bounda y condi ion.
This ep esen s a glazed wall wi h a ansmission coe icien o 4 Wm
-2
K
-1
wi h 10˚C
Assessmen o displacemen en ila ion sys ems in ai bo ne in ec ion isk in hospi al ooms
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empe a u e di e ence be ween indoo and ou doo ai . The lying and s anding manikins
ha e a he mal load o 70 W and 80 W, espec i ely.
Valida ion o nume ical esul s wi h expe imen al da a
In ooms wi h displacemen en ila ion, he mal s a i ica ion is gene a ed. The empe a u e
o he exhaled ai is highe han he empe a u e o he ambien ai . The e ec s o buoyancy
will play an impo an ole in bo h he e olu ion o exhaled ai and he dispe sion o he associ-
a ed pa hogens. I is he e o e c ucial o co ec ly p edic he oom’s empe a u e ield. This
nume ical model was p e iously used o s udy he dispe sion o exhaled con aminan s by he
mou h o a pe son s anding in a oom wi h DV. The nume ical esul s we e compa ed o da a
om expe imen s pe o med in a ull-scale labo a o y a he Uni e si y o Aalbo g [55]. I was
ound ha he nume ical model was able o accu a ely ep oduce bo h he he mal s a i ica-
ion in he oom and he de lec ion o he exhaled ai je . De ails on he alida ion o he em-
pe a u e ield a e shown in [40].
Exhaled pa hogens do no dispe se in he same way when expi ed h ough he nose o
mou h. How he ulne able indi idual b ea hes also a ec s he mic oen i onmen nea he
ace and, he e o e, he isk o inhaling pa hogens. This CFD model was used in a p e ious
s udy o analyse how he way o b ea hing in luences he isk o c oss-in ec ion be ween wo
people s anding acing each o he a di e en dis ances in a oom wi h DV. The esul s o he
CFD simula ions we e compa ed o expe imen al da a ob ained in he Albo g labo a o y wi h
wo manikins a di e en dis ances and exhaling h ough he mou h and inhaling h ough he
nose. De ails o his new alida ion a e shown in [41].
The nume ical model is now alida ed again wi h he expe imen al esul s ob ained in a
eal-scale labo a o y a he Uni e si y o Co
´ doba [44]. Compa ing he esul s o wo global
en ila ion e iciency indices, he ai change e iciency ε
a
and he con aminan emo al e ec-
i eness ε
c
clea ly e idences how he nume ical model is able o cap u e he expe imen al en-
dencies and o ep oduce he alues o a easonable deg ee o concu ence (Fig 2). The
expe imen al alues o con aminan emo al e ec i eness a e sligh ly highe han he nume i-
cal alues. The possibili y ha hese di e ences a e due o di icul ies ha eme ge when mea-
su ing hese indexes using pho oacous ic spec oscopy canno be uled ou .
Resul s and discussion
Tempo al e olu ion o con aminan inhaled
The exhala ion, dispe sion and inhala ion o con aminan s a e ansien phenomenon.
Nume ical da a p o ide a de ailed empo al e olu ion o he amoun o con aminan inhaled
Fig 2. Expe imen al and nume ical ai change e iciency index. a) Ai change e iciency. b) Con aminan emo al
e ec i eness. EN cases.
h ps://doi.o g/10.1371/jou nal.pone.0211390.g002
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by he HCW. A b ea hing cycle (inhala ion and exhala ion) las s h ee seconds o he P and
ou seconds o he HCW. Each 12 seconds bo h s a a he same ime, al hough he wo
b ea hs a e ou o phase h oughou he cycle. This p og essi e phase displacemen migh
cause he amoun o con aminan inhaled by he HCW in each o he h ee cycle inhala ions o
di e . The phase-a e aged me hod was used in Fig 3 o show he concen a ion o N
2
O inhaled
by he HCW in 12-second cycles. I is wo h no icing ha he a e age amoun o con aminan
inhaled in he h ee inhala ions is he same. This is a clea indica ion ha he in e ac ion
be ween he b ea hs o he wo manikins is e y weak due o he g ea dis ance be ween he
b ea hing zones o he wo manikins [41]. Be ween he mou h o he pa ien and he nose o
he HCW he e is a dis ance o 0.94 m in a s aigh line. The nose o he HCW is 0.53 m away
om he pa ien ’s exhala ion axis.
I should also be men ioned ha he amoun o pollu an inhaled in each 12-second cycle
changes signi ican ly. In o he wo ds, cyclical dispe sion is e y no iceable, especially o low
ACH. This esul shows ha he dispe sion o exhaled con aminan s and hei subsequen
inhala ion a e ansien phenomena due o he ansien na u e o he ai low pa e n in he
a ea be ween P and HCW. The o e all ai low in he oom also exhibi s a ansien beha iou
wi h oom ai low equencies lowe han he manikins’ b ea hing equencies. These esul s
a e in line wi h p e ious wo ks [41,56].
Ai low pa e n. Ai change e iciency
In a pe ec mixing en ila ion (PMV) low, ai composi ion is equal h oughou he whole
oom and no con aminan concen a ion g adien s a e p esen . PMV implies in ini ely apid
di usion and pe ec displacemen en ila ion PDV implies absolu e absence o di usion [45].
PMV and PDV a e idealized heo e ical low pa e ns ha ne e occu in p ac ice bu which
a e, ne e heless, use ul concep s o compa a i e pu poses. In a pe ec mixing en ila ion
low ε
a
= 0.5. In a pe ec displacemen en ila ion low ε
a
= 1.
As expec ed, in all he cases analysed, 0.5<ε
a
<1.0, when using he DV s a egy. The e is a
clea co ela ion be ween he en ila ion e iciency and he posi ion o he ai exhaus openings
Fig 3. Concen a ion o N
2
O inhaled by he HCW o he case o EN_09. Solid lines: phase-a e age alues, do ed
lines: maximum alue, dashed lines: minimum alue co esponding o 75 cycles o 12s.
h ps://doi.o g/10.1371/jou nal.pone.0211390.g003
Assessmen o displacemen en ila ion sys ems in ai bo ne in ec ion isk in hospi al ooms
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(Fig 4). Wi h he exhaus openings in on o he displacemen di use , in he wall o he bed,
a e age en ila ion e iciency is ε
a
= 0.56. Wi h he exhaus openings in he wall opposi e he
bed he a e age e iciency inc eases signi ican ly, ε
a
= 0.69. The ai low pa e n in he oom is
close o ha o PDV. This beha iou is in line wi h o he au ho s’ obse a ions.
The ai change e iciency index is also co ela ed wi h he posi ion o he adian wall. In all
cases, when he adian wall is behind he HCW (emp y symbols) ai change e iciency is
g ea e han when i is opposi e he HCW ( ull symbols), p obably because he mal loads a e
mo e balanced compa ed o he oom’s plane o symme y. No clea co ela ion can be es ab-
lished be ween ai change e iciency and ACH.
Dispe sion o he con aminan . Con aminan emo al e ec i eness
DV p o ides e ical he mal s a i ica ion ha de e mines con aminan dispe sion in he
oom. In o de o main ain he same mean empe a u e in he oom wi h less ACH, he di e -
ence be ween he ai inle empe a u e and he a e age empe a u e o he oom is inc eased.
Up o a heigh o 1.1 m, he e ical empe a u e g adien is g ea e o low ACH (Fig 5A),
whe eas om 1.1 m o he ceiling he g adien s a e almos equal o all ACH. This beha iou
can also be seen o he o he simula ed cases. These nume ical esul s a e consis en wi h
expe imen al obse a ions [57,58].
As he con aminan sou ce is also a sou ce o hea , he con aminan will be anspo ed
di ec ly o he op o he oom [59]. The pollu an is expec ed o be dis ibu ed acco ding o a
wo-zone model [35], a clean zone in he lowe pa (y<y
s
) o he oom and an unclean zone
in he uppe pa (y>y
s
). The mean concen a ion o N
2
O in ho izon al planes is shown in Fig
Fig 4. Ai change e iciency index. Blue symbols: exhaus openings on he wall o he DD. Red symbols: exhaus
openings on he wall o he bed. Full symbols: adian wall in on o he HCW. Emp y symbols: adian wall behind
he HCW.
h ps://doi.o g/10.1371/jou nal.pone.0211390.g004
Assessmen o displacemen en ila ion sys ems in ai bo ne in ec ion isk in hospi al ooms
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