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8/2/2019 Air Conditioning Process and Cycles(Colour Version)
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Air ConditioningAir Conditioning
Processes and CyclesProcesses and Cycles
2
AB' w
tA tB
hB'
B
A B Sensible heating
A B' Sensible cooling
tB'
hB
Heating / Cooling Coil
ma, hA, tA ma, hB, tB
Sensible heating/cooling
processes
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A
B
wA
wB
tAtB
hA
hB
Cooling and de-humidification
when the coiling coils surface
temperature is below the
dew point temperature
of the entering air;
Cooling Coil
ma, wA, hA, tA ma, wB, hB, tB
Condensate, mw
4
A
B
wA
wB
tAtB
hA
hB
B'
hB'
0
1.0 A
B
sensible / total heat ratio
= (hB - hB) / (hA - hB)
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A
B
wA
wB
tAtB
hA
hB
B'
hB'
BA
BA
w-w
h-h
w
h=
EnthalpyMoisture content
hw=
Sensible HeatTotal Heat
QsQt
=
Line ratio indicator on an
ASHRAE psychrometric chart
6
A
B
wA
wB
tAtB
hA
hB
tC
CwC
CA
CB
CA
CB
CA
CB
tt
tt
ww
ww
hh
hh
ACline
BCline
=
=
Bypass factor =
(1 - ) is called the contact factor.
(apparatus dew point)Cooling Coil(surface temperature = tc
A B
'On' state'Off ' state
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A
B
wA
wB
tAtB
s
r
ts
Heat gain arising from fan power
causing air temperature increase
from tB to ts
/
)(
air)toimparted(energy
/
pa
Bs
pa
CFTP
Cttt
TCV
VFTPenergyFan
=
=
=
=
BA
Fan
Air duct
RoomS
Cooling
coil
8
Adiabatic mixing of two air streams
2
1
w2
w1
t2t1
h2
h1w3
3
t3
h3ma2h2w2
1
2 3
ma1h1w1
ma3h3w3
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Adiabatic mixing of two air streams
2
1
w2
w1
t2t1
h2
h1w3
3
t3
h3
Mass balance: ma1 + ma2 = ma3
Energy balance: ma1 h1 + ma2 h2 = ma3 h3
Moisture balance: ma1 w1 + ma2 w2 = ma3 w3
ma2h2w2
1
2 3
ma1h1w1
ma3h3w3
10
Adiabatic mixing of two air streams2
1
w2
w1
t2t1
h2
h1w3
3
t3
h3
From the three equations:
21
2
21
2
12
13
12
13
VV
V
mm
m
ww
ww
hh
hh
aa
a
&&
&
+
+=
=
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2
1
w2
w1
t2t1
h2
h1w3
3
t3
h3
In the psychrometric chart:
12
13
12
13
)12(
)13(
ww
ww
hh
hh
Segment
Segment
=
=
21
2
21
2
)12()13(
VVV
mmm
SegmentSegment
aa
a
&&
&
+
+=
Adiabatic mixing of two air streams
12
Adiabatic humidification process
2
1
twb
h1
1 2 follows a constant
wet bulb line
ma, t1, h1 , w1 ma, t2, h2 , w2
mw = m (w2 - w1)
h2 = h1 + (w2 - w1) (hf) at twb
h2 h1
Required for winter air conditioning when
there is a cooling load and the weather is dry.
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Adiabatic humidification process
2
1
twb
h1
1 2 follows a constant
wet bulb line
h2 = h1 + (w2 - w1) (hf) at twb
h2 h1
Required for winter air conditioning when
there is a cooling load and the weather is dry.
ma, t2, h2, w2ma, t1, h1, w1
mw = ma (w2 w1)
14
Humidification by steam injection
2
1
t1Heat balance: ma h2 = ma h1 + ms hs
Mass balance: ms = ma (w2 - w1)
h2 = h1 + (w2 - w1) hs
t = t2 - t1, which is small
m, h1, t1
m, h2, t2
Steam humidifier
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Tutorial problem:
Saturated water vapour at 100 oC is used to
humidify a stream of moist air. The air enters the
humidifier at 13 oC db and 5 oC wb at a flow rate
of 3 kg/s. The pressure is 101.3 kPa. Determine
(a) the mass flow rate of the steam required to
saturate the air; and
(b) the temperature of the saturated air.
(Ans. 0.0249 kg/s, 14.3 oC)
16
Room Space
QLmw
ma
hrwrtr
mahs
wsts Qs
Vs
Vr =Vs
s
rr
Space air conditioning process
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Heat balance:
ma hs + Qt = ma hr
i.e. Qt = space total cooling load
= ma (hr - hs) = Vs (hr - hs)
Space conditioning process
m
c
wm
ws
trtc
s
r
ts
s r : Space conditioning
process
ts , ws , hs tr , wr , hr
Supply air Room air state
ma , Vs
18
Heat balance:
hs = cpa ts + ws hfg
hr = cpa tr + wr hfg
Qt = ma (hr - hs) = ma cpa (tr - ts) + ma (wr - ws) hfg
Space conditioning processm
c
wm
ws
trtc
s
r
ts
s r : Space conditioningprocess
Space sensible load, Qs
Space latent load, QL
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SHR = Qs/ (Qs + Ql)
Sensible-total heat ratio (SHR)
m
c
wm
ws
trtc
s
r
ts
s r : Space conditioning
process
SHR
Parallel to the line s-r ; calledthe Room Ratio Line
0
1.0
SHR
20
tr
s
r
ts
1.0
0
s'
r'
SHR
s"
Room ratio line
r"
If the supply air state changes at part-load, whilst
tr is maintained, the resultant room RH will shift
away from the design condition.
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Based on the design
space sensible load:
Qs = Vs cpa (tr - ts)
Calculate the requiredsupply air flow rate
m
c
wm
ws
trtc
s
r
ts
s r : Space conditioningprocess
/sm)t-(tC
QV 3
srpa
ss
=
22
Based on the design space
latent load:
QL = Vs (wr - ws) hfg
Calculate the required
humidity ratio of
supply airm
cwrws
trtc
s
r
ts
s r : Space conditioning
process
airdrykg/kghV
Q-ww
fgs
Lrs
=
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Summer Air Conditioning Processes
i) Cooling & dehumidification, o so
s
wo
ws
tots
ho
hs r
hr
Coils load, Qc = ma (ho - hs)
= ma (ho - hr) + ma (hr - hs)
ventilation load space cooling load
SO
Room
Cooling
coil
mahsts
maho
O. A. r
24
Summer Air Conditioning Processes
ii) Cooling & dehumidification + Reheat , o c s
Space cooling load
Reheat load
o
c
wo
ws
trtc
sr
ts
ho
hr
hshc
Coil's load
Ventilation load
c
rtr
Conditioned
rooms
Supply air
o
Outdoor air
Cooling coil
Fan
Re-heat coil
Chilled water Hot water
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Summer Air Conditioning Processes
ii) Cooling & dehumidification + Reheat , o c s
Space cooling load
Reheat load
o
c
wo
ws
trtc
sr
ts
ho
hr
hshc
Coil's load
Ventilation load
Coils load, Qc
= ma (ho - hc)
= ma (ho - hr) + ma (hr - hs) + ma (hs - hc)
ventilation load space load re-heat load
c
rtr
Conditionedrooms
Supply air
o
Outdoor air
Cooling coil
Fan
Re-heat coil
Chilled water Hot water
26
Summer Air Conditioning Cycles
iii) Mixing + Cooling & dehumidification + Reheat
(o + r) m c s
a) Mixing outdoor air with return air : (o + r) m
b) Cooling + dehumidification : m c
c) Reheat at off design conditions: c s
c
r
tr
Conditioned
roomm sSupply air
Return Air
o
Exhaust
air
r
Outdoor
air
Cooling
coil
Fan
Re-heat
coil
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Summer Air Conditioning Cycles
iii) Mixing + Cooling & dehumidification + Reheat
(o + r) m c s
Coils load, Qc
= ma (hm - hc)
= mo (ho - hr) + ma (hr - hs) + ma (hs - hc)
ventilation load space load re-heat load
o
c
wo
ws
trtc
sr
ts
ho
hr
hshc
Room
ratio line
wr
hm
m
c
rtr
Conditionedroomm s
Supply air
Return Air
o
Exhaust
air
r
Outdoor
air
Coolingcoil
Fan
Re-heatcoil
28
m
c
wm
ws
trtc
s
r
ts
SHR
0
1.0
SHR
0
1.0
SHR
2
Om
3
r
Room ratio line
SHR
Space cooling with latent load Space heating with latent load
Ls
s
QSHR
+=
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i) Pre-heat + Humidification + Reheato 1 2 3
2
Room ratio line
ma, to, ho
Re-heater
coil
Preheat coil Water spray
chamber
Heating coils and spray Chamber
ma, t3, h3
O 1
3
r
Sensible-total heat
ratio = Qs / Qt
1 23O
Required in winter situations when:
outdoor air is cold and dry;
net sensible heat loss in space;
the space has moisture gain
Winter Air Conditioning Processes (space heating)
30
Winter Air Conditioning Processes (space heating)
i) Pre-heat + Humidification + Reheat
o 1 2 3
o 1 : pre-heat outdoor air to twb1 2 : adiabatic humidification at constant twb2 3 : reheat air to t3 ( > tr ) to provide space heating
2
Room ratio line
ma, to, ho
Re-heater
coil
Preheat coil Water spray
chamber
Heating coils and spray Chamber
ma, t3, h3
O 1
3
r
Sensible-total heat
ratio = Qs / Qt
1 23O
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ii) Mixing + Humidification + Reheat(o + r) m 2 3
Preheat can be eliminated or reduced
by allowing recirculation air to mix
with the cold outdoor air.
tr
Room, r
3
Return Air
O
Exhaust air
r
Water spray chamber
m2
Om
3
r
2
Reheat coilOutdoor air
Winter Air Conditioning Processes (space heating)
32
ii) Mixing + Humidification + Reheat (to give cool supply air)
(o + r) m 2 3
In moderately cold but dry days,
supply air has to be humidified because the O.A. is dry;
space cooling may be required (hence t3 < tr i.e. cool supply air)
because of large internal heat gain;
om
3
r
2
Room
ratio linetr
Room, r
3
Return Air
O
Exhaust air
r
Water spray chamber
m2
Reheat coilOutdoor air
Winter Air Conditioning Processes (space cooling)
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