Airflow Formulas

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    Air Flow formulas

    CFM = Duct area sq ft x Velocity Standard Air=70F @ 29.92 HG(Mercury)

    1 cubic foot of standard air = 0.075 pounds 13.3 cubic feet of standard air =1 pound

    FAN LAWS:Remember RPM is interchangeable for CFM

    Note: newis the same as 1 and oldis the same as 2

    Fan Law #1

    =

    old

    new

    old

    new

    RPM

    RPM

    CFM

    CFM

    Formulas for problem solving

    CFM new =CFMold X

    old

    new

    RPM

    RPM RPM new = RPMold X

    old

    new

    CFM

    CFM

    Fan Law #22

    old

    new

    CFM

    CFM=

    old

    new

    SP

    SPOr

    old

    new

    CFM

    CFM=

    old

    new

    SP

    SP

    Formulas for problem solving

    CFM new =CFMold xold

    new

    SP

    SP SP new =

    2

    old

    new

    CFM

    CFM

    Fan Law #3

    3

    old

    new

    CFM

    CFM=

    old

    new

    BHP

    BHPor

    old

    new

    CFM

    CFM= 3

    old

    new

    BHP

    BHP

    Formulas for problem solving

    CFM new = CFM old X 3old

    new

    BHP

    BHP BHP new = BHP old x

    3

    old

    new

    CFM

    CFM

    Volume calculations:

    Air Changes Per Hour =Cubicfeet

    CFMx60 CFM = Room Volume x

    60

    perhourAirChanges

    Calculating Outside Air quantities:

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    OAT =( ) ( )

    OA

    RAxRATMATx

    %

    %100 O=Outside A=Air R=Return M=Mixed

    T=Temperature

    %OA=( )

    ( )OATRAT

    MATRAT

    x 100

    MAT =( ) ( )

    100

    %% RAxRATOAxOAT +

    RAT =( ) ( )

    RA

    OAxOATMATx

    %

    %100

    Velocity and Velocity with density correction:

    For Standard Air (70F @ 29.92"): For Other Than Standard Air:

    V VP= 4005 VP

    V=

    4005

    2

    V

    VP

    Den= 1096 7.

    DenT

    BAR=

    +0075

    530

    460 29 92.

    .

    Airflow stations flow:

    oHinchesPCCFM V 2)(=

    3

    2)( oHinchesP

    CFMCv

    =

    2

    2)(

    =

    Cv

    CFMoHinchesP

    Air Thermal calculations:

    sp.ht = 0.24

    13.3 cu.ft. = 1 lb.0.075 lbs. = 1 cu.ft.

    .075 lbs. x 60 min. = 4.5 lbs per hour4.5 x 0.24 = 1.08

    BTUH M sp ht T = . .

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    M = Mass Flow Rate in Lbs. per Hour. sp.ht. = Specific Heat in BTU/Lb. per DegreeF.

    CFM BTUH SensibleT DryBulb= ( )

    . ( )108 BTUH CFM T Den= 108

    0075.

    .

    TBTUH

    CFM=

    108.

    BTUH Total CFM hDen

    ( ) ..

    = 4 50075 h = Enthalpy in BTU per Lb.

    MBHBTUH

    =1000

    Fan calculations:

    Static fan efficiency:FanBHP

    CFM SP

    SE=

    6356

    FanTipSpeedFPM RPMCirc in

    = .( .)

    12 Circ in

    Ts FPM

    RPM.( .)

    ( )=

    12

    RPMTs FPM

    Circ in=

    ( )

    .( .)

    12

    ( )( )( )

    BL C D d D d

    C= + + +

    2 157

    4

    2

    .

    FanRPM MotorRPMd

    D=

    MotorRPM FanRPMD

    d=

    BL = Belt Length (in.) C = Distance between shaft centers (in.) D = Fan sheave dia.(in.)

    d = Motor Sheave dia. (in.)

    Max. (min.) Fan sheave Dia. =

    PstimatedBHExsistingE

    BHPMax

    aanSheaveDiExsistingF

    .3

    .

    Max. Motor sheave = Existing Motor sheave Dia. XPstimatedBHExsistingE

    BHPMax.3

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    New Motor Sheave size Diameter new = Dia.old x

    old

    new

    RPM

    RPM

    New Fan Sheave size Diameter new = Dia.old x

    new

    old

    RPM

    RPM

    2005, National Energy Management Institute Committee. All rights reserved.