# MATHEMATICAL MODELING OF INFLUENCE THE OPERATION MODE DIESEL ENGINE ON THE CONTENT OF PARTICULATE MATTER IN EXHAUST GASES

• А. Polivyanchuk O.M. Beketov National University of Urban Economy in Kharkiv
Keywords: diesel, exhaust gases, particulate matter, concentration, test mode, mathematical model, accuracy

### Abstract

The work is devoted to solving an urgent scientific and practical task – establishing mathematical models that describe the effect of operating modes of diesel engines on the content in the exhaust gases of a dangerous pollutant – particulate matter (PM). The purpose of the work was to create and study the accuracy and practical suitability of the calculation method estimating concentrations and emissions with exhaust gases PM by means of mathematical modeling of the influence on them of parameters that determine steady state and unsteady diesel operation modes. The studies were carried out on the basis of the motor stand of a 4ChN12/14 autotractor diesel equipped with a partial-flow system for diluting EG with air – MKT-2 microtunnels. Measurements mass and volume concentrations – cpt (g/kg) and Cpt (g/mn3), mass – PTmass (g/h) and specific – PTp (g/kWh) PM emissions was carried out by the gravimetric method with errors of ± 3 .. 10% in accordance with the requirements of regulatory documents – ISO8178 standard, UNECE Rules R-49, R-96, etc. As parameters which determine the mode of operation of the diesel engine, were considered: during the study steady-state modes – the number of revolutions of the engine crankshaft (n, min-1) and the load (L,%); in the study of unsteady modes – the parameters n and L and the rate of change over time – Δn/Δt and ΔL/Δt. A dependence has been established for indirectly determining the mass concentration of PM in the exhaust gases at steady and unsteady diesel operating modes, which are characterized by a duration of 10 ... 30 s and ranges of vari-ation of the parameters n, L, Δn/Δt and ΔL/Δt, given in dimensionless form: 0.4 ... 0.8, 0.3 ... 1.0, -0.2 ... 0.2 and -0.35 ... 0.35, respectively. The deviation of the calculated and experimental data when using this dependence is ± 0.005-0.006 g/kg, which is comparable with the sensitivity limit of MKT-2.

### Author Biography

А. Polivyanchuk, O.M. Beketov National University of Urban Economy in Kharkiv

Doctor of Technical Sciences, Professor

### References

1. Zvonov, V.A. (2004). Ekologiya avtomobil'nykh dvigateley vnutrennego sgoraniya [Ecology of automobile internal combustion engines]. Lugansk: VNU named after V. Dahl. – 268. (in Russian).
2. Bielaczyc, P., Woodburn Szczotka, J. (2016). Exhaust Emissions of Gaseous and Solid Pollutants Measured over the NEDC, FTP-75 and WLTC Chassis Dynamometer Driving Cycles. SAE Technical Paper, 2016-01-1008, 13.
3. Foote, E., Maricq, M., Sherman, M., Carpenter, D. et al. (2013). Evaluation of Partial Flow Dilution Methodology for Light Duty Particulate Mass Measurement. SAE Technical Pape, 2013-01-1567, 10.
4. Littera, D., Cozzolini, A., Besch, M., Velardi, M. et al. (2013). Comparison of Particulate Matter Emissions from Different Aftertreatment Technologies in a Wind Tunnel. SAE Technical Paper, 2013-24-0175, 17.
5. Alkidas, A. C. (1984). Relationship Between Smoke Measure-ments and Particulate Measurements. SAE Technical Paper. 840412, 316–322.
6. Kuharenok, G.M. (2016). Otsenka soderzhaniya dispersnykh chastits v otrabotavshikh gazakh dizel'nykh dvigateley [Estimation of the content of dispersed particles in the exhaust gases of diesel engines]. Science and technology, 15, 5, 371–379. (in Russian).
7. Kittelson, D., Kraft, M. (2015). Particle Formation and Models. Encyclopedia of Automotive Engineering, 1(23), 107–130.
8. Muntean, G. G. (1999). A Theoretical Model for the Correlation of Smoke Number to Dry Particulate Concentration in Diesel Exhaust. SAE Technical Paper. 1999-01-0515, 316–322.
9. Burtscher, H. (2001). Literature Study on Tailpipe Particulate Emission Measurement for Diesel Engines. Done for the Particle Measurement Programme (PMP) for BUWAL/GRPE. Fachhochschule Aargau, University of Applied Science, Windisch, Switzerland, 45.
10. Anderson, J.D. (2003). UK Particle Measurement Programme. Phase 2. Heavy Duty Methodology Development. Final Report. Ricardo Consulting Engineers Ltd, 222.
11. Seito, K., Shinozaki, O. (1990). The measurement of diesel particulate emissions with tapered element oscillating microbalance and an opacimeter. SAE Technical Paper. 900644, 1-5.
12. Abe, T., Sato, T., Hayashida, M. (1989). Particulate matter emission characteristics under transient pattern driving. SAE Technical Paper. 890468, 151-163.
13. Schraml, S., Will, S., Leipertz, A. (1999). Simultaneous measurement of soot mass concentration and primary particle size in the exhaust of DI diesel engine by time-resolved laser-induced incandescence (TIRE-LII). SAE Technical Paper, 1999-01-0146, 8.
Published
2020-07-01
How to Cite
PolivyanchukА. (2020). MATHEMATICAL MODELING OF INFLUENCE THE OPERATION MODE DIESEL ENGINE ON THE CONTENT OF PARTICULATE MATTER IN EXHAUST GASES. Municipal Economy of Cities, 3(156), 62-68. Retrieved from https://khg.kname.edu.ua/index.php/khg/article/view/5600
Section
статьи