Abstract
Higher levels of air pollutants and greenhouse gas emissions from fossil fuel-based internal combustion engines have raised environmental concerns and it has resulted in stringent emission regulations. Recent emission norms have made it a mandatory requirement to adopt after-treatment emission control systems for controlling and reducing emission levels to meet the required emission standards. This chapter will discuss the recent research efforts in modelling engine emissions, and after-treatment systems like oxidation catalyst filters, particulate filters, and selective catalytic reduction systems. Detailed discussions on the mechanisms for soot emission modelling and NOx formation are covered in this chapter. Literature studies on one-dimensional, two-dimensional, and three-dimensional modelling of filters and catalysts coupled with CFD studies for application in three-way catalytic filters, NOx reduction catalysts, electrically heated catalysts, and particulate filters (soot accumulation and regeneration) are also discussed. Future directions for modelling advanced after-treatment systems to reduce regulated and unregulated emissions are also explored.
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Abbreviations
- A/F:
-
Air fuel ratio
- ATDC:
-
After Top Dead Center
- CAD:
-
Crank Angle Degree
- CFD:
-
Computational Fluid Dynamics
- CGPF:
-
Catalysed Gasoline Particulate Filter
- CO:
-
Carbon monoxide
- DOC:
-
Diesel Oxidation Catalyst
- DPF:
-
Diesel Particulate Filter
- EGR:
-
Exhaust Gas Recirculation
- GDI:
-
Gasoline Direct Injection
- GPF:
-
Gasoline Particulate Filter
- HC:
-
Hydrocarbon
- IMEP:
-
Indicated Mean Effective Pressure
- NEDC:
-
New European Driving Cycle
- PEMS:
-
Portable Emission Measurement System
- PFI:
-
Port Fuel Injection
- SCR:
-
Selective Catalytic Reduction
- SCRF:
-
Selective Catalytic Reduction Filter (integrated DPF–SCR)
- \({\varepsilon }_{{\text{w}}}\):
-
effective porosity
- \(\Phi\):
-
fuel–air equivalence ratio
- ρsoot:
-
density of soot
- dsoot:
-
Diameter of soot
- \(\Delta {p}_{\mathrm{inlet and outlet cone}}\):
-
pressure drop caused by cone geometry at the inlet and outlet cone
- ΔΘ:
-
valve overlap
- \({a}_{{\text{s}}}\):
-
geometric surface area per reactor volume
- B:
-
engine bore
- C:
-
dimensionless constant
- Ce:
-
exhaust-specific heat capacity
- Cgi:
-
concentrations of the species i in the gas phase
- Csi:
-
concentrations of the species i in the solid phase
- cpsi:
-
cells per square inch
- dplug:
-
spark plug distance from the cylinder axis
- Esf:
-
activation energies of soot formation
- Esc:
-
activation energies of soot oxidation
- f1:
-
the fraction of unburned gas in the crevice which is a fuel–air mixture
- f2:
-
the fraction of fuel–air mixture which is fuel vapour
- funb:
-
the fraction of unburned mixture in crevice gas based on spark plug location
- \({H}_{{\text{CO}}}\):
-
heat of reaction for CO oxidation
- \({k}_{m,j}\):
-
diffusion mass transfer coefficient
- Mc:
-
molecular weight
- mf:
-
mass of fuel consumed per cylinder per cycle
- N:
-
Engine speed
- \({N}_{{R}_{i}}\):
-
the ratio of particle diameter and collector unit diameter
- Pmax:
-
maximum in-cylinder pressure
- Qe:
-
flow rate
- rc:
-
compression ratio
- \({R}_{{\text{CO}}}\):
-
specific rate of CO oxidation
- Tcool:
-
coolant temperature
- Ts:
-
surface temperature
- TS0:
-
initial surface temperature
- Tg:
-
bulk gas temperature
- v:
-
bulk gas velocity
- Vcrevice:
-
crevice volume
- Vd:
-
displaced volume
- w:
-
the thickness of the particulate layer
- wal,:
-
The thickness of the ash layer
- wwl:
-
the thickness of the washcoat layer.
- xr:
-
residual gas fraction
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Kurien, C., Mittal, M. (2024). Modelling of Engine Emissions and After-Treatment Systems. In: Lakshminarayanan, P.A., Agarwal, A.K., Ge, H., Mallikarjuna, J.M. (eds) Modelling Spark Ignition Combustion. Energy, Environment, and Sustainability. Springer, Singapore. https://doi.org/10.1007/978-981-97-0629-7_15
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