TY - JOUR
T1 - Lagrangian particle tracking with new weighted fraction Monte Carlo method for studying the soot particle size distributions in premixed flames
AU - Jiang, Xiao
AU - Chan, Tat Leung
N1 - Funding Information:
This work was supported by the research studentship grant, the General Research Fund, Research Grants Council of the Hong Kong Special Administrative Region, China (Project No. PolyU 152663/16E) and the Central Research Grant (Project No. B-Q54U) and Department of Mechanical Engineering of The Hong Kong Polytechnic University.
Publisher Copyright:
© 2021, Emerald Publishing Limited.
PY - 2022/5/16
Y1 - 2022/5/16
N2 - Purpose: The purpose of this paper is to study the soot formation and evolution by using this newly developed Lagrangian particle tracking with weighted fraction Monte Carlo (LPT-WFMC) method. Design/methodology/approach: The weighted soot particles are used in this MC framework and is tracked using Lagrangian approach. A detailed soot model based on the LPT-WFMC method is used to study the soot formation and evolution in ethylene laminar premixed flames. Findings: The LPT-WFMC method is validated by both experimental and numerical results of the direct simulation Monte Carlo (DSMC) and Multi-Monte Carlo (MMC) methods. Compared with DSMC and MMC methods, the stochastic error analysis shows this new LPT-WFMC method could further extend the particle size distributions (PSDs) and improve the accuracy for predicting soot PSDs at larger particle size regime. Originality/value: Compared with conventional weighted particle schemes, the weight distributions in LPT-WFMC method are adjustable by adopting different fraction functions. As a result, the number of numerical soot particles in each size interval could be also adjustable. The stochastic error of PSDs in larger particle size regime can also be minimized by increasing the number of numerical soot particles at larger size interval.
AB - Purpose: The purpose of this paper is to study the soot formation and evolution by using this newly developed Lagrangian particle tracking with weighted fraction Monte Carlo (LPT-WFMC) method. Design/methodology/approach: The weighted soot particles are used in this MC framework and is tracked using Lagrangian approach. A detailed soot model based on the LPT-WFMC method is used to study the soot formation and evolution in ethylene laminar premixed flames. Findings: The LPT-WFMC method is validated by both experimental and numerical results of the direct simulation Monte Carlo (DSMC) and Multi-Monte Carlo (MMC) methods. Compared with DSMC and MMC methods, the stochastic error analysis shows this new LPT-WFMC method could further extend the particle size distributions (PSDs) and improve the accuracy for predicting soot PSDs at larger particle size regime. Originality/value: Compared with conventional weighted particle schemes, the weight distributions in LPT-WFMC method are adjustable by adopting different fraction functions. As a result, the number of numerical soot particles in each size interval could be also adjustable. The stochastic error of PSDs in larger particle size regime can also be minimized by increasing the number of numerical soot particles at larger size interval.
KW - Detailed soot model
KW - Lagrangian particle tracking
KW - Particle size distribution
KW - Stochastic error analysis
KW - Weighted fraction Monte-Carlo method
UR - http://www.scopus.com/inward/record.url?scp=85114456889&partnerID=8YFLogxK
U2 - 10.1108/HFF-04-2021-0247
DO - 10.1108/HFF-04-2021-0247
M3 - Journal article
AN - SCOPUS:85114456889
SN - 0961-5539
VL - 32
SP - 1961
EP - 1998
JO - International Journal of Numerical Methods for Heat and Fluid Flow
JF - International Journal of Numerical Methods for Heat and Fluid Flow
IS - 6
ER -