Abstract
We summarize a global kinetic model for a commercial automotive Lean NOx Trap (LNT) catalyst derived from laboratory flow reactor measurements at Oak Ridge National Laboratory (ORNL). The experimental measurements were made according to a modified version of a publicly shared protocol developed for characterizing the dynamic responses of LNT catalysts over a temperature range of 150–550 °C under lean-rich cycling with CO, H2, and C3H6 as the reductants. The resulting model includes three NOx storage sites. The present model also includes reactions for oxygen storage, water gas shift, steam reforming, NOx reduction, and N2O and NH3 generation. When implemented in 1D integral reactor simulations of long-period cycling, the model was found to accurately predict the observed outlet concentrations of CO, H2, C3H6, NO, NO2, NH3, and N2O.
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Abbreviations
- cpsi:
-
Cells per square inch
- LNT:
-
Lean NOx Trap
- NSR:
-
NOx storage reduction
- OSC:
-
Oxygen storage capacity
- PGM:
-
Platinum group metals
- WGS:
-
Water gas shift
- a j :
-
Active site density of reaction j \( \left[\frac{\mathrm{m}\mathrm{ole}.\mathrm{site}}{{\mathrm{m}}^3}\right] \)
- A :
-
Pre-exponent multiplier
- C :
-
Concentration expression \( \left[\frac{\mathrm{m}\mathrm{ol}}{{\mathrm{m}}^3}\right] \)
- C pg :
-
Heat capacity of gas \( \left[\frac{\mathrm{J}}{\mathrm{kg}.\mathrm{K}}\right] \)
- D i ,m :
-
Binary diffusion coefficient of trace species i in the mixture \( \left[\frac{{\mathrm{m}}^2}{\mathrm{s}}\right] \)
- D h :
-
Hydraulic diameter of channel [m]
- E ai :
-
Activation energy of reaction i \( \left[\frac{\mathrm{J}}{\mathrm{mol}}\right] \)
- f :
-
Friction factor
- f sb :
-
Solid fraction of substrate
- G :
-
Inhibition function
- h :
-
Heat transfer coefficient \( \left[\frac{\mathrm{J}}{{\mathrm{m}}^2.\mathrm{s}.\mathrm{K}}\right] \)
- h x :
-
External heat transfer coefficient \( \left[\frac{\mathrm{J}}{{\mathrm{m}}^2.\mathrm{s}.\mathrm{K}}\right] \)
- k i :
-
Rate constant of reaction i
- k m ,i :
-
Mass transfer coefficient for trace species i \( \left[\frac{\mathrm{kg}}{{\mathrm{m}}^2.\mathrm{s}}\right] \)
- K eq :
-
Equilibrium constant
- n :
-
Number of moles [mol]
- \( \overset{.}{n} \) :
-
Molar flow rate \( \left[\frac{\mathrm{mol}}{\mathrm{s}}\right] \)
- Nu :
-
Nusselt number for heat transfer
- P :
-
Power input \( \left[\frac{\mathrm{J}}{\mathrm{s}}\right] \)
- p :
-
Pressure [Pa]
- \( \overline{R} \) :
-
Gas constant \( \left[\frac{\mathrm{J}}{\mathrm{mol}.\mathrm{K}}\right] \)
- r j :
-
Reaction rate for reaction j \( \left[\frac{\mathrm{mol}}{{\mathrm{mol}\mathrm{e}}_{\mathrm{site}}.\mathrm{s}}\right] \)
- s ij :
-
Stoichiometric coefficient of species i for reaction j
- S :
-
Surface area per reactor volume \( \left[\frac{1}{\mathrm{m}}\right] \)
- S x :
-
External surface area per reactor volume \( \left[\frac{1}{\mathrm{m}}\right] \)
- t :
-
Time [s]
- t end :
-
Time at the end of simulation [s]
- T g :
-
Temperature of bulk gas in reactor channels [K]
- T s :
-
Temperature of gas at catalyst surface [K]
- T x :
-
External temperature [K]
- v :
-
Interstitial velocity \( \left[\frac{\mathrm{m}}{\mathrm{s}}\right] \)
- V :
-
Reactor volume [m3]
- z :
-
Axial position [m]
- δ :
-
Washcoat thickness [m]
- ∆H j :
-
Enthalpy of reaction j \( \left[\frac{\mathrm{J}}{\mathrm{mol}}\right] \)
- ε :
-
Void fraction of reactor
- \( \overrightarrow{\theta},\ {\theta}_k \) :
-
Vector and component, respectively, of surface coverage
- θ eq :
-
Equilibrium surface coverage
- λ :
-
Thermal conductivity of bulk \( \left[\frac{\mathrm{J}}{\mathrm{mol}.\mathrm{s}.\mathrm{K}}\right] \)
- λ sb :
-
Thermal conductivity of substrate \( \left[\frac{\mathrm{J}}{\mathrm{mol}.\mathrm{s}.\mathrm{K}}\right] \)
- ρ g :
-
Density of bulk gas in reactor channels \( \left[\frac{\mathrm{kg}}{{\mathrm{m}}^3}\right] \)
- σ kj :
-
Stoichiometric coefficient for coverage k in reaction j
- Ψ s :
-
Effective heat capacity of reactor \( \left[\frac{\mathrm{J}}{{\mathrm{m}}^3.\mathrm{K}}\right] \)
- ϖ g , ϖ g,i :
-
Vector and component, respectively, of mass fractions in the bulk gas
- ϖ g,i :
-
Component of mass fractions in the washcoat
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Acknowledgments
This work was sponsored in part by the U.S. Department Of Energy Office Of Vehicle Technologies, with Gurpreet Singh and Ken Howden as project managers. This work was also funded in part through the Gamma Technologies Research Initiatives Program
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Rafigh, M., Dudgeon, R., Pihl, J. et al. Development of a Global Kinetic Model for a Commercial Lean NOx Trap Automotive Catalyst Based on Laboratory Measurements. Emiss. Control Sci. Technol. 3, 73–92 (2017). https://doi.org/10.1007/s40825-016-0049-8
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DOI: https://doi.org/10.1007/s40825-016-0049-8