Hostname: page-component-594f858ff7-x2rdm Total loading time: 0 Render date: 2023-06-05T19:29:44.071Z Has data issue: false Feature Flags: { "corePageComponentGetUserInfoFromSharedSession": false, "coreDisableEcommerce": false, "corePageComponentUseShareaholicInsteadOfAddThis": true, "coreDisableSocialShare": false, "useRatesEcommerce": true } hasContentIssue false

Numerical investigation of detachment and transport of particulate structures in wall-flow filters using lattice Boltzmann methods

Published online by Cambridge University Press:  07 February 2023

Nicolas Hafen*
Affiliation:
Gas Particle Systems, Karlsruhe Institute of Technology, 76131 Karlsruhe, Germany Lattice Boltzmann Research Group, Karlsruhe Institute of Technology, 76131 Karlsruhe, Germany Institute of Mechanical Process Engineering and Mechanics, Karlsruhe Institute of Technology, 76131 Karlsruhe, Germany
Julia R.D. Thieringer
Affiliation:
Gas Particle Systems, Karlsruhe Institute of Technology, 76131 Karlsruhe, Germany Institute of Mechanical Process Engineering and Mechanics, Karlsruhe Institute of Technology, 76131 Karlsruhe, Germany
Jörg Meyer
Affiliation:
Gas Particle Systems, Karlsruhe Institute of Technology, 76131 Karlsruhe, Germany Institute of Mechanical Process Engineering and Mechanics, Karlsruhe Institute of Technology, 76131 Karlsruhe, Germany
Mathias J. Krause
Affiliation:
Lattice Boltzmann Research Group, Karlsruhe Institute of Technology, 76131 Karlsruhe, Germany Institute of Mechanical Process Engineering and Mechanics, Karlsruhe Institute of Technology, 76131 Karlsruhe, Germany Institute for Applied and Numerical Mathematics, Karlsruhe Institute of Technology, 76131 Karlsruhe, Germany
Achim Dittler
Affiliation:
Gas Particle Systems, Karlsruhe Institute of Technology, 76131 Karlsruhe, Germany Institute of Mechanical Process Engineering and Mechanics, Karlsruhe Institute of Technology, 76131 Karlsruhe, Germany
*
Email address for correspondence: nicolas.hafen@kit.edu

Abstract

The exhaust from combustion engines contains particulate matter (PM), which poses potential health risks to human lungs. Current emission laws place increasingly strict limitations on both PM and particle number, leading to the necessity of using wall-flow filters to separate out a significant amount of the introduced PM. As this leads to an increase in the filter's loading, it is regenerated continuously or periodically, leading to the rearrangement of individual particulate structures inside the filter channels. Such rearrangement events cause the formation of specific deposition patterns, which affect the filter's pressure drop, its loading capacity and the separation efficiency. In order to derive predictions on the formation of specific deposition patterns, the transient behaviour of individual particle structures needs to be examined. The present work investigates the detachment and transport of particle structures during filter regeneration with three-dimensional surface-resolved simulations using a lattice Boltzmann method. The goal of this work is the determination of relevant key quantities and their interpretation with respect to predictions regarding the resulting deposition patterns. In this context, it is shown that lift forces are not the predominant detachment forces for non-spherical particle structures, and that the stopping distance of such structures is too long to avoid back-end deposition.

Type
JFM Papers
Copyright
© The Author(s), 2023. Published by Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Aravelli, K. & Heibel, A. 2007 Improved lifetime pressure drop management for robust cordierite (RC) filters with asymmetric cell technology (ACT). In SAE World Congress & Exhibition. SAE International.CrossRefGoogle Scholar
Bhatnagar, P.L., Gross, E.P. & Krook, M. 1954 A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems. Phys. Rev. 94, 511525.CrossRefGoogle Scholar
Chapman, S., Cowling, T.G., Burnett, D. & Cercignani, C. 1990 The Mathematical Theory of Non-Uniform Gases: An Account of the Kinetic Theory of Viscosity, Thermal Conduction and Diffusion in Gases. Cambridge University Press.Google Scholar
Dittler, A. 2012 Ash transport in diesel particle filters. In SAE 2012 International Powertrains, Fuels & Lubricants Meeting. SAE International.CrossRefGoogle Scholar
Dittler, A. 2014 Abgasnachbehandlung mit Partikelfiltersystemen in Nutzfahrzeugen, 1st edn. Shaker.Google Scholar
Ginzburg, I. 2005 Equilibrium-type and link-type lattice Boltzmann models for generic advection and anisotropic-dispersion equation. Adv. Water. Resour. 28 (11), 11711195.CrossRefGoogle Scholar
Hafen, N., Dittler, A. & Krause, M.J. 2022 Simulation of particulate matter structure detachment from surfaces of wall-flow filters applying lattice Boltzmann methods. Comput. Fluids 39, 105381.CrossRefGoogle Scholar
Hinds, W.C. 1999 Aerosol Technology: Properties, Behavior, and Measurement of Airborne Particles, 2nd edn. Wiley.Google Scholar
Ishizawa, T., Yamane, H., Satoh, H., Sekiguchi, K., Arai, M., Yoshimoto, N. & Inoue, T. 2009 Investigation into ash loading and its relationship to DPF regeneration method. SAE Intl J. Commer. Veh. 2 (2), 164175.CrossRefGoogle Scholar
Kamp, C.J., Zhang, S., Bagi, S., Wong, V., Monahan, G., Sappok, A. & Wang, Y. 2017 Ash permeability determination in the diesel particulate filter from ultra-high resolution 3D x-ray imaging and image-based direct numerical simulations. SAE Intl J. Fuels Lubr. 10 (2), 608618.CrossRefGoogle Scholar
Krause, M.J., Klemens, F., Henn, T., Trunk, R. & Nirschl, H. 2017 Particle flow simulations with homogenised lattice Boltzmann methods. Particuology 34, 113.CrossRefGoogle Scholar
Krause, M.J., et al. 2020 OpenLB – open source lattice Boltzmann code. Comput. Maths Applics. 81, 258288.CrossRefGoogle Scholar
Krüger, T., Kusumaatmaja, H., Kuzmin, A., Shardt, O., Silva, G. & Viggen, E.M. 2016 The Lattice Boltzmann Method – Principles and Practice. Springer.Google Scholar
Ladd, A.J.C. 1994 Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 1. Theoretical foundation. J. Fluid Mech. 271, 285309.CrossRefGoogle Scholar
Latt, J., Chopard, B., Malaspinas, O., Deville, M. & Michler, A. 2008 Straight velocity boundaries in the lattice Boltzmann method. Phys. Rev. E 77, 056703.CrossRefGoogle ScholarPubMed
Lohse, M., Wittig, S. & Hacker, J. 2019 Clean air. Nitrogen oxides and particulate matter in ambient air: basic principles and recommendations. Tech. Rep. Halle (Saale).Google Scholar
Mazzarella, G., Ferraraccio, F., Prati, M.V., Annunziata, S., Bianco, A., Mezzogiorno, A., Liguori, G., Angelillo, I.F. & Cazzola, M. 2007 Effects of diesel exhaust particles on human lung epithelial cells: an in vitro study. Resp. Med. 101 (6), 11551162.CrossRefGoogle ScholarPubMed
Noble, D.R. & Torczynski, J.R. 1998 A lattice-Boltzmann method for partially saturated computational cells. Intl J. Mod. Phys. C 9 (8), 11891201.CrossRefGoogle Scholar
Sappok, A., Govani, I., Kamp, C., Wang, Y. & Wong, V. 2013 In-situ optical analysis of ash formation and transport in diesel particulate filters during active and passive DPF regeneration processes. SAE Intl J. Fuels Lubr. 6 (2), 336349.CrossRefGoogle Scholar
Segré, G. & Silberberg, A. 1961 Radial particle displacements in Poiseuille flow of suspensions. Nature 189 (4760), 209210.CrossRefGoogle Scholar
Segré, G. & Silberberg, A. 1962 Behaviour of macroscopic rigid spheres in Poiseuille flow. Part 2. Experimental results and interpretation. J. Fluid Mech. 14 (1), 136157.CrossRefGoogle Scholar
Simonis, S., Haussmann, M., Kronberg, L., Dörfler, W. & Krause, M.J. 2021 Linear and brute force stability of orthogonal moment multiple-relaxation-time lattice Boltzmann methods applied to homogeneous isotropic turbulence. Phil. Trans. R. Soc. Lond. A 379 (2208), 20200405.Google ScholarPubMed
Spaid, M.A.A. & Phelan, F.R. 1997 Lattice Boltzmann methods for modeling microscale flow in fibrous porous media. Phys. Fluids 9 (9), 24682474.CrossRefGoogle Scholar
Thieringer, J.R.D., Hafen, N., Meyer, J., Krause, M.J. & Dittler, A. 2022 Investigation of the rearrangement of reactive ash; inert particulate structures in a single channel of a wall-flow filter. Separations 9 (8), 195.CrossRefGoogle Scholar
Trunk, R., Marquardt, J., Thäter, G., Nirschl, H. & Krause, M.J. 2018 Towards the simulation of arbitrarily shaped 3D particles using a homogenised lattice Boltzmann method. Comput. Fluids 172, 621631.CrossRefGoogle Scholar
Trunk, R., Weckerle, T., Hafen, N., Thäter, G., Nirschl, H. & Krause, M.J. 2021 Revisiting the homogenized lattice Boltzmann method with applications on particulate flows. Computation 9 (2), 11.CrossRefGoogle Scholar
Wang, Y. & Kamp, C. 2016 The effects of mid-channel ash plug on DPF pressure drop. In SAE 2016 World Congress and Exhibition. SAE International.CrossRefGoogle Scholar
Wang, Y., Kamp, C.J., Wang, Y., Toops, T.J., Su, C., Wang, R., Gong, J. & Wong, V.W. 2020 The origin, transport, and evolution of ash in engine particulate filters. Appl. Energy 263, 114631.CrossRefGoogle Scholar
Wen, B., Zhang, C., Tu, Y., Wang, C. & Fang, H. 2014 Galilean invariant fluid–solid interfacial dynamics in lattice Boltzmann simulations. J. Comput. Phys. 266, 161170.CrossRefGoogle Scholar
Yang, S., Deng, C., Gao, Y. & He, Y. 2016 Diesel particulate filter design simulation: a review. Adv. Mech. Engng 8 (3), 14.Google Scholar