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Division 3.6.3 Exhaust gas molar flow rate

United Kingdom

Original text. Later amendments are not shown.

  1. (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):

    ṅ exh = ṁ fuel × w C × 1 + x H2Oexhdry M C × x Ccombdry (see equation 7-113)

    Where:

    ṅ exh
  2. raw exhaust gas molar flow rate from which emissions are measured

  3. ṁ fuel
  4. fuel flow rate including humidity in intake air [g/s]

  5. w C
  6. carbon mass fraction for the given fuel [g/g]

  7. x H2Oexhdry
  8. amount of H2O per dry mole of measured flow [mol/mol]

  9. M C
  10. molecular mass of carbon 12,0107 g/mol

  11. x Ccombdry
  12. 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:

    1. (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):

      ṅ = ƒ n,PDP × p in × V rev R × T in (7-117)

      with:

      V rev = a 1 f n,PDP × p out − p in p in + a 0 (7-118)

      where:

      a 1
    2. calibration coefficient [m3/s]

    3. a 0
    4. calibration coefficient [m3/rev]

    5. p in, p out
    6. inlet/outlet pressure [Pa]

    7. R
    8. molar gas constant [J/(mol · K)]

    9. T in
    10. inlet temperature [K]

    11. V rev
    12. PDP pumped volume [m3/rev]

    13. f n.,PDP
    14. 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):

    ṅ = C d × C f × A t × p in Z × M mix × R × T in (7-119)

    Where:

    p in
  • inlet pressure [Pa]

  • A t
  • Venturi throat cross-sectional area [m2]

  • R
  • molar gas constant [J/(mol · K)]

  • T in
  • inlet temperature [K]

  • Z
  • compressibility factor

  • M mix
  • molar mass of diluted exhaust gas [kg/mol]

  • C d
  • discharge coefficient of the SSV [-]

  • C f
  • 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):

    ṅ = C d × C f × A t × p in Z × M mix × R × T in (7-120)

    Where:

    p in
  • inlet pressure [Pa]

  • A t
  • Venturi throat cross-sectional area [m2]

  • R
  • molar gas constant [J/(mol · K)]

  • T in
  • inlet temperature [K]

  • Z
  • compressibility factor

  • M mix
  • molar mass of diluted exhaust gas [kg/mol]

  • C d
  • discharge coefficient of the CFV [-]

  • C f
  • flow coefficient of the CFV [-]

  • Annotations

    Textual amendments

    F1

    Substituted by Commission Delegated Regulation (EU) 2018/989 of 18 May 2018 amending and correcting Delegated Regulation (EU) 2017/654 supplementing Regulation (EU) 2016/1628 of the European Parliament and of the Council with regard to technical and general requirements relating to emission limits and type-approval for internal combustion engines for non-road mobile machinery (Text with EEA relevance).