Research on multi-objective optimization method of Z-shaped pipeline structure based on Kriging model

Abstract Slurry pipeline transportation is widely used in dredging and serves as an essential method for conveying solid materials. However, accurately describing the interaction between slurry and particles through numerical simulations, while optimizing the pipeline structure to improve the perfor...

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Main Authors: Chunya Sun, Zhengdong Xiao, Yanqiu Xiao, Zhifang Xu, Wanbin Cui, Pengpeng Wang, Zhanpeng Fang, Guangzhen Cui, Lianhui Jia
Format: Article
Language:English
Published: Nature Portfolio 2024-11-01
Series:Scientific Reports
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Online Access:https://doi.org/10.1038/s41598-024-81130-6
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author Chunya Sun
Zhengdong Xiao
Yanqiu Xiao
Zhifang Xu
Wanbin Cui
Pengpeng Wang
Zhanpeng Fang
Guangzhen Cui
Lianhui Jia
author_facet Chunya Sun
Zhengdong Xiao
Yanqiu Xiao
Zhifang Xu
Wanbin Cui
Pengpeng Wang
Zhanpeng Fang
Guangzhen Cui
Lianhui Jia
author_sort Chunya Sun
collection DOAJ
description Abstract Slurry pipeline transportation is widely used in dredging and serves as an essential method for conveying solid materials. However, accurately describing the interaction between slurry and particles through numerical simulations, while optimizing the pipeline structure to improve the performance of slurry pipelines, poses a significant engineering challenge. In this study, a Z-shaped continuous pipeline, designed using B-spline curves, is implemented in the slurry circulation system. The validity of the CFD–DEM method is confirmed through slurry circulation experiments, and the effects of various structural parameters on transportation efficiency and flow characteristics are investigated. By integrating the Kriging surrogate model with the NSGA-II algorithm, a multi-objective optimization method is proposed to reduce computational complexity and improve the sediment-carrying capacity of the Z-shaped pipeline. Using a slurry shield tunneling machine with a diameter of 6.24 m as an example, this study optimizes a Z-shaped pipeline with an inner diameter of 0.3 m and an axial height of 1.5 m. The optimized structural parameters increase the average particle velocity by 8.9% and reduce particle accumulation by 21.3%. Additionally, the interaction between the pipeline’s inclination angle $$\theta$$ , the B-spline control parameter $$l_{4}$$ , and the sediment-carrying capacity is analyzed.
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publishDate 2024-11-01
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spelling doaj-art-95d8a1d8d876473fa9299bf1e59ebfa42024-12-01T12:24:18ZengNature PortfolioScientific Reports2045-23222024-11-0114111910.1038/s41598-024-81130-6Research on multi-objective optimization method of Z-shaped pipeline structure based on Kriging modelChunya Sun0Zhengdong Xiao1Yanqiu Xiao2Zhifang Xu3Wanbin Cui4Pengpeng Wang5Zhanpeng Fang6Guangzhen Cui7Lianhui Jia8Henan Collaborative Innovation Center of Intelligent Tunnel Boring Machine, Zhengzhou University of Light IndustryHenan Collaborative Innovation Center of Intelligent Tunnel Boring Machine, Zhengzhou University of Light IndustryHenan Collaborative Innovation Center of Intelligent Tunnel Boring Machine, Zhengzhou University of Light IndustryHenan Collaborative Innovation Center of Intelligent Tunnel Boring Machine, Zhengzhou University of Light IndustryHenan Collaborative Innovation Center of Intelligent Tunnel Boring Machine, Zhengzhou University of Light IndustryHenan Collaborative Innovation Center of Intelligent Tunnel Boring Machine, Zhengzhou University of Light IndustryHenan Collaborative Innovation Center of Intelligent Tunnel Boring Machine, Zhengzhou University of Light IndustryHenan Collaborative Innovation Center of Intelligent Tunnel Boring Machine, Zhengzhou University of Light IndustryChina Railway Engineering Equipment Group Co, Ltd.Abstract Slurry pipeline transportation is widely used in dredging and serves as an essential method for conveying solid materials. However, accurately describing the interaction between slurry and particles through numerical simulations, while optimizing the pipeline structure to improve the performance of slurry pipelines, poses a significant engineering challenge. In this study, a Z-shaped continuous pipeline, designed using B-spline curves, is implemented in the slurry circulation system. The validity of the CFD–DEM method is confirmed through slurry circulation experiments, and the effects of various structural parameters on transportation efficiency and flow characteristics are investigated. By integrating the Kriging surrogate model with the NSGA-II algorithm, a multi-objective optimization method is proposed to reduce computational complexity and improve the sediment-carrying capacity of the Z-shaped pipeline. Using a slurry shield tunneling machine with a diameter of 6.24 m as an example, this study optimizes a Z-shaped pipeline with an inner diameter of 0.3 m and an axial height of 1.5 m. The optimized structural parameters increase the average particle velocity by 8.9% and reduce particle accumulation by 21.3%. Additionally, the interaction between the pipeline’s inclination angle $$\theta$$ , the B-spline control parameter $$l_{4}$$ , and the sediment-carrying capacity is analyzed.https://doi.org/10.1038/s41598-024-81130-6B-splineKriging modelMulti-objective optimizationPipeline transportation
spellingShingle Chunya Sun
Zhengdong Xiao
Yanqiu Xiao
Zhifang Xu
Wanbin Cui
Pengpeng Wang
Zhanpeng Fang
Guangzhen Cui
Lianhui Jia
Research on multi-objective optimization method of Z-shaped pipeline structure based on Kriging model
Scientific Reports
B-spline
Kriging model
Multi-objective optimization
Pipeline transportation
title Research on multi-objective optimization method of Z-shaped pipeline structure based on Kriging model
title_full Research on multi-objective optimization method of Z-shaped pipeline structure based on Kriging model
title_fullStr Research on multi-objective optimization method of Z-shaped pipeline structure based on Kriging model
title_full_unstemmed Research on multi-objective optimization method of Z-shaped pipeline structure based on Kriging model
title_short Research on multi-objective optimization method of Z-shaped pipeline structure based on Kriging model
title_sort research on multi objective optimization method of z shaped pipeline structure based on kriging model
topic B-spline
Kriging model
Multi-objective optimization
Pipeline transportation
url https://doi.org/10.1038/s41598-024-81130-6
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