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    By

    NS MUHAMMAD WAQAS YOUNAS

    NS SYED WAJI-UL-HASSAN

    NS KAMRAN SIDDIQUE

    NS MUNEEB AHMED

    PC TALHA NASIR

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    What is cooling load ????

    Cooling load is the rate at which heatmust be removed from the air to

    maintain temperature[1]

    There are different methods that can be usedfor the calculation of the cooling load:

    1) Transfer function method

    2) CLTD/SCL/CLF methodA brief description of these methods is given in

    next slides

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    Method adopted:

    1)Transfer function method:

    It is a computer based method which is used tosolve the problems entirely and is more

    complicated.2)CLTD/SCL/CLF method:

    It is basically a hand made calculation method

    which is based on the results of the transfer

    function method.

    We have adapted CLTD method in our

    calculation of the cooling load.

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    Factors taken in to account:

    The following factors are taken in to account duringthe cooling load calculation:

    a) Walls

    b) Windows

    c) Roofd) People

    e) Lights

    f) Equipments

    g) Infiltration / ventilation

    Each of the above factor is considered duringthe cooling load calculation

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    Humidity:

    Relative humidity outside=0.40

    Relative humidity inside=0.30

    Using psychometric chart

    Outside specific humidity=0.032 Inside specific humidity=0.006

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    Walls:Area of walls:

    North wall=2280 ft2or 211.812 m2

    South wall=3044 ft2 or 282.79 m2 East wall=3106.4 ft2or 288.59 m2

    West wall= 801.6 ft2or 74.47m2

    Thermal resistances:

    Contact resistance(air film):

    Rair=0.044

    Resistance of cement:

    Rcement=L/K=0.0254m/0.72=0.03527

    Resistance of brick:

    Rbrick=L/K=0.2286m/0.32=0.714

    Resistance of air inside:

    Rinside air=0.12

    Total resistance: Rtot=0.91327

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    CLDT calculations:Over all heat transfer co-efficient:

    U=1/ Rtot=1/0.91327=1.09496

    CLTD for walls:

    From tables

    For a 100 mm common brick there is C4

    For plaster,C4=5At 12:00 noon;

    CLTD(north)=5

    CLTD(south)=7

    CLTD(east)=22

    CLTD(west)=5

    Corrected CLTD =CLTD+(25.5- Tinternal)+(Tm-39.9)

    Where

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    So,

    Corrected CLTD=CLTD+13.95

    Corrected CLTD(north)=5+13.95=18.95

    Corrected CLTD(south)=7+13.95=21.95 Corrected CLTD(east)=22+13.95=35.95

    Corrected CLTD(west)=5+13.95=18.95

    Heat rate:Q=UA (corrected CLTD)

    Q north walls=1.09496*211.812*18.95=4394.99

    Q south walls=1.09496*282.79 *21.95=6796.68

    Q east walls=1.09496*288.59 *35.95=11360

    Q west walls=1.09496*74.47*18.95=1545.22

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    Windows:

    Areas of windows:Area of north windows=456ft2

    Area of south windows=456ft2

    Total area of both sides windows=912ft2 or 84.73m2

    CLTD for glass:

    Taking at 12:00 noon = 5

    Corrected CLTD=5+13.95=18.95

    U=5.9, from tables for single glass for summerQglass windows=UA(corrected CLTDC)

    =5.9*84.72*18.95

    = 9472.1196

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    Athletes

    According to ASHRAE fundamentals 1993 page 26.8,

    for athletes in a gymnasium

    Qathletes=525 watts

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    Lights:Factor=0.95

    Total bulbs=42

    Power of single bulb=250 wattTotal power=42*250

    Note: it is case of category C where single story vinyl flooring is

    done. Here for 12 hours noonFor other appliances:Factor=0.93

    No of exhaust=6

    No of ceiling fan=5Qexhaust=30 watts*6=180watts

    Qcieling fan=55 watts*5=275watts

    Qexhaust + Qcieling fan=180+275=455

    Qapplainces=455*0.93=423.15watt

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    Ventilation and infiltration air:

    Qsensible=1.23Q(TouterTinternal)Where,

    No of person = 300

    Ventilation per person =7.5 litres/second

    Q=total ventilation required

    =300*7.5=2250litrs/second

    Touter=44oC

    Tinternal=25o

    CSo,

    Qsensible=1.23*2250(44 25)=52583watts

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    Qlatent=3010*Q*(wo-wi)

    Where

    Wo=outside specific humidity=0.032

    Wi=in side specific humidity=0.006

    Qlatent=3010*2250*(0.032-0.006 )=176085watt

    Ventilationandinfiltration air:

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    Total cooling load:

    Q = Qwalls total+ Qglass windows+ Qpeople+Qathletes +Qlights+Qapplainces+Qsensible+Qroof

    =24096.89+9472.1196+36000+525+9975

    +423.15+52583+176085+27211.728

    soQtotal=336372 watt

    or 96 tons

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    how much time is required for

    cooling:

    Q=m*Cp*(T0-Ti) = (air*Vroom)*Cp*(T0-Ti)

    = (1.2*11576)*1.005*103*(50-25.5)=342036*103

    j

    But

    Already calculated/recommended

    Qtotal=336372 watts or 96 tons

    Time=Q /Qtotal= 1017seconds=17minutes.

    So system should be turned on a maximum of

    17 minutes prior.

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    Steps to reduce cooling load:

    Since the cooling load is too large, soit is a good decision to use the central

    air conditioning unit, instead of so

    many small split or window ACs.

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