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e-CFR Data is current as of February 4, 2010


Title 40: Protection of Environment
PART 86—CONTROL OF EMISSIONS FROM NEW AND IN-USE HIGHWAY VEHICLES AND ENGINES
Subpart D—Emission Regulations for New Gasoline-Fueled and Diesel-Fueled Heavy-Duty Engines; Gaseous Exhaust Test Procedures

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§ 86.344-79   Humidity calculations.

(a) The following abbreviations (and units) are used in this section:

BARO = barometric pressure (Pa)

H = specific humidity, (gm H2O/gm of dry air)

K = 0.6220 gm H2O/gm dry air

M air= Molecular weight of air = 28.9645

M H2O= Molecular weight of water = 18.01534

P DB= Saturation vapor pressure of water at the dry bulb temperature (Pa)

P DP= saturation vapor pressure of water at the dewpoint temperature (Pa)

P v= partial pressure of water vapor (Pa)

P WB= saturation vapor pressure of water at the wet bulb temperature (pa)

T DB= Dry bulb temperature (°K)

T WB= Wet bulb temperature (°K)

Y = Water-vapor volume concentration

(b) The specific humidity on a dry basis of the intake air ( H ) is defined by equation (1).



(c) The partial pressure of water vapor may be determined in two manners:

(1) A dew point device may be used. In that case:

P v= P DP

(2) A wet-bulb, dry-bulb method may be used. In that case “Ferrels equation” (eq. (2)) is used.



(d)(1) The saturation vapor pressure ( P WB) of water at the wet-bulb temperature is defined by equation (3) (Ref. Wexler and Greenspan, equation (23), National Bureau of Standards).



where:

P WBis in Pascals (Pa)

T WB= Web-bulb temperature (°K)

B = − 12.150799

F 0= − 8.49922(10)3

F 1= − 7.4231865(10)3

F 2= 96.1635147

F 3= 2.4917646(10)−2

F 4= − 1.3160119(10)−5

F 5= − 1.1460454(10)−8

F 6= 2.1701289(10)−11

F 7= − 3.610258(10)−15

F 8= 3.8504519(10)−18

F 9= − 1.4317(10)−21

(2) The table in Figure D79–5 may be used in lieu of equation (3).

(e) The saturated vapor pressure of water at the dry-bulb temperature ( P DB) is found (if required) by using dry-bulb absolute temperature (°K) in equation (3).

(f) The percent of relative humidity ( RH ) (if required) is defined by equation (4).



(g) The water-vapor volume concentration on a dry basis of the engine intake air ( Y ) is defined by equation (5).



Figure D79–5—Saturation Vapor Pressure Over Water (pascals)

Temperature °C0.00.10.20.30.40.50.60.70.80.9
0610.752615.207619.690624.203628.744633.315637.916642.545647.205651.894
1656.614661.364666.144670.955675.796680.669685.572690.507695.473700.471
2705.500710.562715.655720.781725.939731.130736.354741.611746.901752.224
3757.581762.971768.396773.854779.347784.874790.436796.033801.664807.331
4813.034818.771824.545830.355836.200842.082848.001853.956859.948865.978
5872.045878.149884.291890.470896.688902.945909.239915.573921.945928.357
6934.808941.298947.828954.399961.009967.660974.351981.083987.856994.670
71001.531008.421015.361022.341029.371036.431043.541050.701057.891065.13
81072.411079.741087.111094.521101.981109.481117.031124.631132.271139.95
91147.681155.461163.281171.151179.071187.041195.051203.111211.211219.37
101227.571235.831244.131252.481260.881269.321277.821286.371294.971303.62
111312.321321.071329.871338.731347.631356.591365.601374.671383.781392.95
121402.171411.451420.781430.161439.601449.101458.641468.251477.911487.62
131497.391507.221517.111527.051537.041547.101557.211567.391577.621587.90
141598.251608.661619.121629.651640.241650.881661.591672.361683.181694.08
151705.031716.041727.121738.261749.461760.731772.061783.451794.911806.43
161818.011829.671841.381853.171865.021876.931888.911900.961913.081925.27
171937.521949.841962.231974.691987.211999.812012.482025.212038.022050.90
182063.852076.872089.972103.132116.372129.682143.072156.532170.062183.66
192197.342211.102224.932238.842252.822266.882281.022295.232309.522323.89
202338.342352.862367.472382.152396.912411.762426.682441.682456.772471.93
212487.182502.512517.932533.422549.002564.662580.412596.242612.162628.16
222644.252660.422676.682693.022709.462725.982742.592759.282776.072792.94
232809.912826.962844.112861.342878.672896.092913.602931.202948.892966.68
242984.563002.543020.613038.773057.033075.393093.843112.393131.033149.78
253168.623187.553206.593225.733244.963264.303283.733303.273322.913242.65
263362.493382.433402.483422.633442.893463.243483.713504.283524.953545.73
273566.623587.623608.723629.933651.253672.673694.213715.863737.613759.48
283781.463803.553825.753848.073870.503893.043915.703938.473961.363984.36
294007.484030.714054.064077.534101.124124.834148.654172.594196.664220.84
304245.154269.584294.134318.804343.604368.524393.564418.734444.024469.44

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