Division 3.6.3 Exhaust gas molar flow rate
United Kingdom
- (a)
Calculation via chemical balance;
The molar flow rate ṅ exh [mol/s] can be calculated based on fuel mass flow rate ṁ fuel by means of equation (7-113):
(see equation 7-113) Where:
ṅ exh ṁ fuelraw exhaust gas molar flow rate from which emissions are measured
w Cfuel flow rate including humidity in intake air [g/s]
x H2Oexhdrycarbon mass fraction for the given fuel [g/g]
M Camount of H2O per dry mole of measured flow [mol/mol]
x Ccombdrymolecular mass of carbon 12,0107 g/mol
amount of carbon from fuel in the exhaust gas per mole of dry exhaust gas [mol/mol]
- (b)
Measurement
The exhaust gas molar flow rate may be measured by means of three systems:
- (i)
F1PDP molar flow rate. Based upon the speed at which the Positive Displacement Pump (PDP) operates for a test interval, the corresponding slope a 1 , and intercept, a 0 [-], as calculated with the calibration procedure set out in point 3.9.2, shall be used to calculate molar flow rate ṅ [mol/s] by means of equation (7-117):
(7-117) with:
(7-118) where:
a 1 a 0calibration coefficient [m3/s]
p in, p outcalibration coefficient [m3/rev]
Rinlet/outlet pressure [Pa]
T inmolar gas constant [J/(mol · K)]
V revinlet temperature [K]
f n.,PDPPDP pumped volume [m3/rev]
PDP speed [rev/s]
- (ii)
SSV molar flow rate. Based on the C d versus R e # equation determined in accordance with point 3.9.4, the Sub-Sonic Venturi (SSV) molar flow rate during an emission test ṅ [mol/s] shall be calculated by means of equation (7-119):
(7-119) Where:
p in A tinlet pressure [Pa]
RVenturi throat cross-sectional area [m2]
T inmolar gas constant [J/(mol · K)]
Zinlet temperature [K]
M mixcompressibility factor
C dmolar mass of diluted exhaust gas [kg/mol]
C fdischarge coefficient of the SSV [-]
flow coefficient of the SSV [-]
- (iii)
CFV molar flow rate. To calculate the molar flow rate through one venturi or one combination of venturis, its respective mean C d and other constants, determined in accordance with point 3.9.5, shall be used. The calculation of its molar flow rate ṅ [mol/s] during an emission test shall be calculated by means of equation (7-120):
(7-120) Where:
p in A tinlet pressure [Pa]
RVenturi throat cross-sectional area [m2]
T inmolar gas constant [J/(mol · K)]
Zinlet temperature [K]
M mixcompressibility factor
C dmolar mass of diluted exhaust gas [kg/mol]
C fdischarge coefficient of the CFV [-]
flow coefficient of the CFV [-]
- (i)