2 psychrometric processes

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    Psychrometric processes

    Introduction:

    In the design and analysis of air conditioning plants, the

    processes being performed on air. Once identified, the

    processes can be analyzed by applying the laws of

    conservation of mass and energy. All these processescan be plotted easily on a psychrometric chart. This is

    the changes taking place in important properties such as

    processes that air undergoes in a typical air conditioning

    plant are discussed below.

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    Fig. 1: Sensible cooling process O-A on psychrometric chart

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    Fig.2.:Sensibleheatingprocessonapsychrometric chart

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    Example:-

    heats 0.1 m3/s of air from 15oC and 80% RH to 55oC? The

    barometric pressure is 101.325 kPa.

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    C):-c) Cooling and dehumidification (Process O

    -

    it in contact with a cold surface as shown in Fig. 3, some

    of the water vapor in the air condenses and leaves the airstream as liquid, as a result both the temperature and

    humidity ratio of air decreases as shown.

    The heat and mass transfer rates can be expressed in

    conservation of mass and conservation of energy

    equations as given below:

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    Fig.3 : Cooling and dehumidification (Process O-C)

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    By applying mass balance for the water:

    By applying energy balance:

    from the above two equations, the load on the cooling coil,Q is given by:

    the 2 term on the RHS of the above e uation is normall small

    compared to the other terms, so it can be neglected.

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    It can be observed that the coolin and de-humidification

    process involves both latent and sensible heat transfer

    processes, hence, the total, latent and sensible heattransfer rates (Qt, Ql and Qs) can be written as

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    A lower value of SHF, say 0.6, implies a high latent heat load

    such as that occurs in a humid climate.From Fig. 3, it can be seen that the slope of the process line

    Fromthe

    definition

    of

    SHF,

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    Fromtheaboveequations,wecanwritetheslopeas:

    Thuswecanseethattheslopeofthecoolinganddehumidification

    lineis

    purely

    afunction

    of

    the

    sensible

    heat

    factor,

    SHF.

    Hence,

    we

    candrawthecoolinganddehumidificationlineonpsychrometric

    c ar e n a s a ean e are nown. nsomes an ar

    psychrometric charts,aprotractorwithdifferentvaluesofSHFis

    andinparalleltothegivenSHFlinefromtheprotractorasshownin

    Fig.4.

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    Fi . 4: A s chrometric chart with rotractor for SHF lines

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    By pass factor:

    In Fig.3, the temperature Ts is the effective surface

    tem erature of the coolin coil, and is known as a aratus

    dew-point (ADP) temperature. In an ideal situation, when

    all the air comes in perfect contact with the cooling coilsur ace, en e ex empera ure o a r w e same as

    ADP of the coil. However, in actual case the exit

    apparatus dew-point temperature due to boundary layerdevelopment as air f lows over the cooling coil surface and

    also due to temperature variation along the fins etc.

    Hence, we can define a by-pass factor (BPF) as:

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    It can be easily seen that, higher the by-pass factor

    and the cooling coil temperature. When BPF is 1.0, all the

    air b - asses the coil and there will not be an coolin or

    de-humidification. In practice, the by-pass factor can be

    increased by increasing the number of rows in a coolingco or y ecreas ng e a r ve oc y or y re uc ng e n

    pitch.

    ,

    is given by:

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    Example:

    coolingcoil

    at

    25oC

    and

    50%

    RH

    and

    leaves

    the

    cooling

    coil

    at

    11oC

    and90%RH.Theapparatusdewpointofthecoolingcoilis7oC.

    Find:

    a)The

    required

    cooling

    capacity

    of

    the

    coil.

    ens e ea ac or or eprocess.

    c)Bypassfactorofthecoolingcoil.

    .

    condensatewater

    to

    leave

    the

    coil

    at

    ADP

    (hw=

    29.26

    kJ/kg)

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    Heating and Humidification (Process O-D):

    During winter it is essential to heat and humidify the room

    .

    heating the air and then adding water vapour to the air

    stream through steam nozzles as shown in the fig.6.

    Mass balance of water vapor for the control volume

    , . .

    Where m a is the mass flow rate of dry air.

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    Fig. 6:- Heating and Humidification Process .

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    From ener balance:

    WhereQ h is the heat supplied through the heating coil .

    Hw is the enthalpy of steam.

    mass transfer, we can define a sensible heat factor for

    the rocess in a wa similar to that of a coolant anddehumidification process.

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    e) Cooling & humidification (Process O-E):

    , ,

    temperature drops and its humidity increases. This

    rocess is shown in Fi . 7.

    This can be achieved by spraying cool water in the air

    stream. The temperature of water should be lower thanthe dry-bulb temperature of air but higher than its dew-

    DPT w O .

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    Fig. 7: Cooling and humidification process

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    Itcanbeseenthatduringthisprocessthereissensible

    ea

    rans er

    rom

    a r

    o

    wa er

    an

    a en

    ea

    rans er

    fromwatertoair.Hence,thetotalheattransferdepends

    .

    Ifthetemperatureofthewatersprayedisequaltothe

    ,

    willbezeroasthesensibleheattransferfromairtowater

    .

    Ifthe

    water

    temperature

    is

    greater

    than

    WBT,

    then

    there

    .

    temperatureislessthanWBT,thenthenetheattransfer

    .

    Theprocessofcoolingandhumidificationisencountered

    ,

    coolingtowers

    etc.

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    F):-humidification (Process O-Heating and de

    This process can be achieved by using a hygroscopic

    ,

    the moisture. If this process is thermally isolated, then

    the enthalpy of air remains constant, as a result thetemperature of air increases as its moisture content

    decreases as shown in Fig. 8.

    In general, the absorption of water by the hygroscopic

    released during this process, which is transferred to air

    and the enthalpy of air increases.

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    Mixingofairstreams:

    Mixing of air streams at different states is commonly

    encountered in many processes, including in air

    conditioning. Depending upon the state of the individual

    streams, the mixing process can take place with orw ou con ensa on o mo s ure.

    .

    mixing of two moist air streams during which nocondensation of moisture takes place.

    As shown in the figure, when two air streams at state

    points 1 and 2 mix, the resulting mixture condition 3 can

    e o a ne rom mass an energy a ance.

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    g. . x ng o wo a r s reams w ou con ensa on

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    From the mass balance of dry air and water vapor:

    From the above equations, it can be observed that

    the final enthalpy and humidity ratio of mixture are

    weighted averages of inlet enthalpies and humidity

    ratios

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    ii) Mixing with condensation:

    As shown in Fi . 10, when ver cold and dr air mixes

    with warm air at high relative humidity, the resulting

    mixture condition may lie in the two-phase region, as aresu ere w e con ensa on o wa er vapor an some

    amount of water will leave the system as liquid water. Due

    ,

    wil l be less than that at point 4. Corresponding to this willbe an increase in temperature of air due to the release of

    latent heat of condensation.

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    Fig. 10. Mixing of two air streams with condensation

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