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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 蔡宛珊(Wan-Shan Tsai) | |
| dc.contributor.author | Yu-Ying Huang | en |
| dc.contributor.author | 黃育瑩 | zh_TW |
| dc.date.accessioned | 2022-11-24T03:25:45Z | - |
| dc.date.available | 2021-09-11 | |
| dc.date.available | 2022-11-24T03:25:45Z | - |
| dc.date.copyright | 2021-09-11 | |
| dc.date.issued | 2021 | |
| dc.date.submitted | 2021-09-06 | |
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| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/81004 | - |
| dc.description.abstract | "明渠流中的泥沙懸浮顆粒傳輸廣泛應用在水利工程上，像是在觀察河川地貌變化或是水質估計等。泥沙顆粒在水中的運動除了隨著水流方向外，也會受到紊流的影響向四周不規則擴散。因此，本研究將泥沙顆粒的運動軌跡視為一隨機過程，以力學結合序率方法(Stochastic method)來模擬泥沙顆粒的運動，並利用布朗運動(Brownian motion)來描述泥沙顆粒受到紊流作用的不規則運動。 在紊流邊界層中，存在著很多不同大小速度尺度的渦流(Eddies)，這些渦流會影響顆粒的運動情形，例如ejection及sweep事件的發生。其中又以與底床接觸的附著型渦流(Attached eddies)對於邊界層顆粒運動的影響更為重要，而Perry and Marusic (1995) 進一步將附著型渦流分為兩種類型，分別是直接與底床接觸的type-A渦流(type-A eddies)，及存在於邊界層wake區域且無直接接觸底床但其渦流尺度受到與底床距離影響的type-B渦流(type-B eddies)。因此本研究將結合此概念與隨機擴散例子追蹤模型(Stochastic Diffusion Particle Tracking Model, SD-PTM)，來模擬在紊流邊界層中泥沙顆粒受到附著型渦流影響的運動現象。 以朗之萬方程(Langevin equation)為原型推導出的SD-PTM包含兩個基本元素：描述顆粒隨著水流方項運動的平均漂移項(Mean drift term)；顆粒受到紊流影響而隨機運動的紊流項(Turbulence term)，本研究基於SD-PTM提出兩種模型來考慮type-A渦流及type-B渦流對於泥沙顆粒的影響。其中modified SD-PTM將紊流項分成兩項來討論，分別是type-A渦流的影響及type-B渦流的影響。另一個模型SEC-PTM(Stochastic Eddy Constrained Particle Tracking Model)結合兩種渦流各自的物理特性，將受到渦流影響的顆粒位移以圓弦長來模擬。透過顆粒路徑的統計值來分析type-A及type-B渦流對顆粒的影響，並以泥沙濃度來驗證模型的準確性。" | zh_TW |
| dc.description.provenance | Made available in DSpace on 2022-11-24T03:25:45Z (GMT). No. of bitstreams: 1 U0001-3108202119050300.pdf: 3206359 bytes, checksum: cbad0ef3094d961d0ad76b8c24bac4ea (MD5) Previous issue date: 2021 | en |
| dc.description.tableofcontents | "口試委員會審定書 # 誌謝 ii 中文摘要 iii ABSTRACT v CONTENTS vii LIST OF FIGURES xi LIST OF TABLES xv Chapter 1 Introduction 1 1.1 Background of the study 1 1.2 Research hypotheses 3 1.3 Objectives of the study 4 1.4 Framework of the study 5 1.5 Overview of the thesis 6 Chapter 2 Literature review 7 2.1 Stochastic particle tracking model 7 2.2 Study of the type-A, type-B eddy and attached eddy model 10 2.3 Anomalous diffusions of sediment particles 15 2.4 Experimental data 16 2.5 Summary 18 Chapter 3 Methodology of Stochastic Modeling and Attached Eddy Model 19 3.1 Stochastic modeling 19 3.1.1 Markov process 19 3.1.1 Wiener process 19 3.1.2 Stochastic diffusion process 20 3.2 Attached eddy model of Perry and Marusic (1995) 22 3.3 Resuspension mechanism 26 3.4 Summary 27 Chapter 4 Modeling the suspended sediment transport considering the overall contribution of attached eddies 28 4.1 Motivation 28 4.2 Methodology 29 4.2.1 Diffusion effect coefficient 29 4.2.2 Governing equation 30 4.2.3 Sediment diffusivity 31 4.3 Simulation 33 4.3.1 Ensemble Results 33 4.3.2 Model validation with sediment concentration profile 39 4.4 Influence under consideration of attached eddies 40 4.5 Contribution of type-A and type-B eddies 46 4.6 Summary 50 Chapter 5 Incorporating the circular flow motion and eddy properties into suspended sediment transport modeling 51 5.1 Motivation 51 5.2 Methodology 53 5.2.1 Eddy constrained random walk (ECRW) 53 5.2.2 Governing equation of the Stochastic Eddy Constrained Particle Tracking Model 55 5.3 Model development and results 57 5.3.1 Deciding the multiple of the circulation radius 57 5.3.2 Particle trajectory 59 5.3.3 Ensemble Results 60 5.3.4 Model validation with sediment concentration profile 65 5.3.5 Influence of the trapping time in the simulation 66 5.4 Influence of the type-A and type-B eddies in the boundary layer 68 5.5 Results comparison with modified SD-PTM 71 5.6 Application of the SEC-PTM 77 5.7 Distinguished feature of the SEC-PTM 85 5.8 Summary 86 Chapter 6 Conclusions and Recommendations 87 6.1 Summary and conclusions 87 6.2 Recommendations and future work 89 REFERENCES 91 " | |
| dc.language.iso | en | |
| dc.subject | 布朗運動 | zh_TW |
| dc.subject | 懸浮顆粒傳輸 | zh_TW |
| dc.subject | 序率模式 | zh_TW |
| dc.subject | 顆粒軌跡模型 | zh_TW |
| dc.subject | 附著型渦流 | zh_TW |
| dc.subject | Brownian motion | en |
| dc.subject | attached eddies | en |
| dc.subject | stochastic particle tracking model | en |
| dc.subject | suspended sediment transport | en |
| dc.subject | stochastic methods | en |
| dc.title | 在附著性渦流影響下紊流邊界層的懸浮載傳輸:泥沙濃度及異常擴散 | zh_TW |
| dc.title | Stochastic Sediment Transport in Turbulent Boundary Layers Under the Influence of Attached Eddies: Concentration Profile and Anomalous Diffusion | en |
| dc.date.schoolyear | 109-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 張倉榮(Hsin-Tsai Liu),余化龍(Chih-Yang Tseng),何昊哲 | |
| dc.subject.keyword | 懸浮顆粒傳輸,序率模式,顆粒軌跡模型,附著型渦流,布朗運動, | zh_TW |
| dc.subject.keyword | attached eddies,stochastic methods,Brownian motion,suspended sediment transport,stochastic particle tracking model, | en |
| dc.relation.page | 111 | |
| dc.identifier.doi | 10.6342/NTU202102912 | |
| dc.rights.note | 同意授權(限校園內公開) | |
| dc.date.accepted | 2021-09-07 | |
| dc.contributor.author-college | 工學院 | zh_TW |
| dc.contributor.author-dept | 土木工程學研究所 | zh_TW |
| 顯示於系所單位： | 土木工程學系 | |
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