Air Conditioning Process and Cycles(Colour Version)

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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

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    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

    QQ

    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)

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    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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