Dynamic evolution of soot particle growth in diesel engine cylinder
Yuanxin YU1,2(),Mingrui WEI1,2,Hongling JU1,2,*()
1. Hubei Provincial Key Laboratory of Modern Auto Parts Technology, Wuhan University of Technology, Wuhan 430070, China 2. Auto Parts Technology Hubei Provincial Collaborative Innovation Center, Wuhan University of Technology, Wuhan 430070, China
A three-dimensional simulation model was established by taking an in-cylinder direct-injection diesel engine as the prototype. A detailed soot model was coupled to analyze the mass distribution and number density variation of soot particles in the cylinder of the diesel engine under different load. The calculated results and airflow parameters were taken as the initial conditions for dynamic simulation, and the particle dynamics model was established by using the Lagrange method to track the motion of each particle in order to calculate the complete growth process of soot particles. Results showed that the nucleation rate of soot gradually approaches zero, the surface growth and condensation rate were lower than the oxidation rate, and the total mass of soot gradually decreased after combustion. The soot mass fraction at the top of the cylinder, cylinder wall, and piston was relatively low. The constructed particle dynamics model can simulate the growth process from basic particles of soot to aggregates. The particle dynamics model can be used to simulate the growth process from soot elementary particles to aggregates, and the morphology of the aggregates obtained under different loads was mainly branched and clustered structure, which was similar to the main morphologies obtained by experimental sampling. The fractal dimensions under different loads were similar to those measured by the experiments, with a maximum error of about 1.5%.
Tab.1Main parameter of diesel engine (YC4FA 116-40)
Fig.2Schematic of combustion chamber mesh
模拟类型
模型
湍流模型
RNG k-ε
蒸发模型
Frossling
碰撞模型
NTC collision
破碎模型
KH-RT
燃烧模型
SAGE
碳烟模型
Particle Size Mimic
NOx模型
Extended Zeldovich
Tab.2Mathematical model in three-dimensional simulation
Fig.3Comparison of simulation and experimental value of cylinder pressure and heat release rate
Fig.4Soot mass fraction in cylinder under different load
Fig.5Soot number density at top of cylinder
Fig.6Average number density and total mass of soot at 50% load
Fig.7Mass change in soot nucleation, surface growth, condensation and oxidation at 50% load
Fig.8Total mass fraction of soot in cylinder at different time under 50% load
p /MPa
vg/(m·s?1)
k/(m2·s?2)
?/ (m2·s?3)
0.18
4.41
0.757
206.71
0.38
4.40
0.766
153.75
0.63
5.17
1.082
275.89
0.88
6.40
1.089
260.02
1.13
9.22
1.501
294.43
Tab.3Airflow parameter at different load
参数
数值
ρp/(g·cm?3)
1.8
A/ J
1×10?19
e
0.4
${z_0}$/ m
4×10?10
${{{{{p}}}} _{\text{pl}}}$/ Pa
5×109
${u_{\text{f}}}$
0.4
Tab.4Particle property in turbulence
Fig.9Initial spatial distribution map of particles in computational domain
Fig.10Cross-sectional view of calculation domain at beginning of calculation under 50% load
Fig.11Cross-sectional view of calculation domain at end of calculation under 50% load
Fig.12Schematic diagram of soot particle accumulation at end of calculation
Fig.13Actual soot accumulation morphology [21]
Fig.14Changing trend of soot particle fractal dimension
[1]
WAN E L, SUN Z M, LIU Y Z Real-time in situ detection and source tracing of different soot[J]. Optik, 2021, 245: 167711
doi: 10.1016/j.ijleo.2021.167711
[2]
LI Z C, ZHANG L D, CHUN L In-Situ measurement of soot volume fraction and temperature in axisymmetric soot-laden flames using TR-GSVD algorithm[J]. IEEE Transactions on Instrumentation and Measurement, 2021, 70: 1- 12
[3]
LIU J, LIU Y Z, CHU C X, et al In situ online detection of lignite and soot by laser-induced breakdown spectroscopy[J]. Spectroscopy and Spectral Analysis, 2021, 41 (3): 954- 960
[4]
SI M T, CHENG Q, YUAN L, et al Physical and chemical characterization of two kinds of coal-derived soot[J]. Combustion and Flame, 2022, 238 (C): 111759
[5]
TIAN R Y, ZHANG Y L, KOOK S, et al Effect of jet fuel aromatics on in-flame soot distribution and particle morphology in a small-bore compression ignition engine[J]. Fuel, 2021, 305: 121582
doi: 10.1016/j.fuel.2021.121582
[6]
WEI J J, ZENG Y, PAN M Z, et al Morphology analysis of soot particles from a modern diesel engine fueled with different types of oxygenated fuels[J]. Fuel, 2020, 267: 117248
[7]
QIAN W J, HUI X, WANG B, et al An investigation into oxidation-induced fragmentation of soot aggregates by Langevin dynamics simulations[J]. Fuel, 2023, 334 (1): 126547
[8]
MORAN J, POUX A, YON J Impact of the competition between aggregation and surface growth on the morphology of soot particles formed in an ethylene laminar premixed flame[J]. Journal of Aerosol Science, 2021, 152: 105690
[9]
MORAN J, YON J, POUX A Monte Carlo aggregation code (MCAC) part 1: fundamentals[J]. Journal of Colloid and Interface Science, 2020, 569: 184- 194
[10]
HO C A, SOMMERFLED M Modelling of micro-particle agglomeration in turbulent flows[J]. Chemical Engineering Science, 2002, 57 (15): 3073- 3084
doi: 10.1016/S0009-2509(02)00172-0
[11]
DUVVURI P P, SUKUMARAN S, SHRIVASTAVA R K, et al Modeling the effect of parametric variations on soot particle size distribution in a diesel engine[J]. Journal of Energy Resources Technology, 2020, 142 (3): 032201
doi: 10.1115/1.4044563
[12]
KUMAR S, RAMKRISHNA D On the solution of population balance equations by discretization-II: a moving pivot-technique[J]. Chemical Engineering Science, 1996, 51 (8): 1333- 1342
doi: 10.1016/0009-2509(95)00355-X
[13]
WEN J Z, THOMSON M J, PARK S H, et al Study of soot growth in a plug flow reactor using a moving sectional model[J]. Proceedings of the Combust Institute, 2005, 30 (1): 1477- 1484
doi: 10.1016/j.proci.2004.08.178
[14]
WANG H, REITZ R D, YAO M F, et al Development of an n-heptane-n-butanol-PAH mechanism and its application for combustion and soot prediction[J]. Combustion and Flame, 2013, 160 (3): 504- 519
doi: 10.1016/j.combustflame.2012.11.017
[15]
王贵龙, 鞠洪玲 DMF/柴油RCCI燃烧碳烟生成数值模拟[J]. 燃烧科学与技术, 2023, 29 (3): 235- 242 WANG Guilong, JU Hongling Numerical simulation of soot formation in DMF/diesel RCCI combustion[J]. Journal of Combustion Science and Technology, 2023, 29 (3): 235- 242
[16]
MARCHAL C, DELFAU J L, VOVELLE C, et al Modelling of aromatics and soot formation from large fuel molecules[J]. Proceedings of the Combustion Institute, 2009, 32 (1): 753- 759
doi: 10.1016/j.proci.2008.06.115
[17]
杨芳玲. 柴油机缸内颗粒碰撞与凝并过程研究[D]. 镇江: 江苏大学, 2017: 20-21. YANG Fangling. Study on the collision and coagulation process of particles in diesel engine [D]. Zhenjiang: Jiangsu University, 2017: 20-21.
[18]
鞠洪玲, 卞钒全, 魏明锐 柴油机排气管内碳烟颗粒的形貌计算[J]. 华中科技大学学报: 自然科学版, 2020, 48 (12): 61- 65 JU Hongling, BIAN Fanquan, WEI Mingrui Morphology calculation of soot particles in diesel exhaust pipe[J]. Journal of Huazhong University of Science and Technology: Natural Science Edition, 2020, 48 (12): 61- 65
[19]
WEI M R, LI S, XIAO H L, et al Combustion performance and pollutant emissions analysis using diesel/gasoline/iso-butanol blends in a diesel engine[J]. Energy Conversion and Management, 2017, 149 (17): 381- 391
[20]
SOMMERFLED M Validation of a stochastic Lagrangian modelling approach for inter-particle collisions in homogeneous isotropic turbulence[J]. International Journal of Multiphase Flow, 2001, 27 (10): 1829- 1858
doi: 10.1016/S0301-9322(01)00035-0
[21]
JU H L, BIAN F Q, WEI M R, et al Effect of temperature on morphologies and microstructures of soot particles in the diesel exhaust pipe[J]. Energies, 2023, 16 (5488): 5488