Mathematical model of the efficiency of diesel particulate matter filter

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Authors:

O.M. Kondratenko, Cand. Sci. (Tech.), National University of Civil Defense of Ukraine, Lecturer of the Department of Applied Mechanics, Kharkiv, Ukraine.

S.O. Vambol, Dr. Sci. (Tech.), Associate Professor, National University of Civil Defense of Ukraine, Head of the Department of Applied Mechanics, Kharkiv, Ukraine.

O.P. Strokov, Dr. Sci. (Tech.), Professor, A.N. Podgorny Institute for Mechanical Engineering Problems of the National Academy of Sciences of Ukraine, Head of the Department of Piston Plants, Kharkiv, Ukraine.

A.M. Avramenko, Cand. Sci. (Tech.), A.N. Podgorny Institute for Mechanical Engineering Problems of the National Academy of Sciences of Ukraine, Research Fellow of the Department of Piston Plants, Kharkiv, Ukraine.

Abstract:

Purpose. Purpose of this study is to describe in ma­the­matical language the identified experimentally deter­mined influence of the aspects of most important opera­tional factors on the efficiency of cleaning of diesel exha­ust gases (EG) from particulate matter (PM) by the filter element (FE) of the diesel particulate matter filter (DPF), which have a new non-traditional design.

Methodology. The methods of mathematical modelling and comparative analysis were employed in the research, experimental study was carried out.

Findings. The Department of Piston Power Pla­nts (DPPP) of the A.N. Podgorny Institute for Mecha­nical Engineering Problems of the National Academy of Sciences of Ukraine (IPMash NASU) designed the DPF for diesel internal combustion engines (ICE) with a non-traditional modular design of its FE with a bulk na­tu­ral zeolite in the stainless steel meshes. Se­ve­ral stages of motor bench tests of auto­trac­tor diesel 2Ch10,5/12 were carried out as a part of the engine test ba­nd of the labo­ratory of DPPP, which exhaust sys­tem is equipped with the DPF IPMash. Tests, direct and indirect measurements resulted in the de­pen­dences of indicators of smoke and the volume con­cen­tration of unburned hydro­carbons in the EG on the operating and control para­me­ters of that diesel. The obtained dependence was described by polynomials of degree 1−4 by linear regression method and converted to mass emission values of PM in EG with well-known vera­city empirical recal­cu­lation formula. The influence of separate operational factors on the efficiency of the DPF IPMash in the developed mathematical model was taken into account by the introduction of the corresponding coe­f­ficients into the model, the coefficients values were deter­mined from the experi­mental data.

Originality. For the first time, it was established the qualitative and quantitative relations between the purifica­tion effi­ci­ency of the DPF IPMash and its most important opera­tional factors.

Practical value. The developed mathematical model and methodology for bench testing and analysis of their results are useful for predicting the performance of DPF with any design.

References:

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Vambol, S.O., Strokov, O.P. and Kondratenko, O.M. (2014), “Bench testing of automotive diesel 2Ch10,5/12 by standardized cycles to determine the operating effi­ci­ency of DPF”, Visnyk Natsionalnoho Tekhnichnoho Universytetu KhPI. Series: Automotive and Tractor Building, no. 10 (1053), pp. 11–18.

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Kondratenko, O.M. (2014), “A mathematical model of the hydraulic resistance of the diesel particulate filter. Part 1: The adjusting coefficient”, Visnyk Natsionalnoho Tekhnichnoho Universytetu KhPI. Series: Mathematical Modelling in technique and Technology, no. 18 (1061), pp. 68–80.

 

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