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研究生:蔡亮宏
研究生(外文):Liang-HungTsai
論文名稱:乾燥可變密度顆粒流之速度與體積濃度分佈之探討
論文名稱(外文):On the distributions of the velocity and volume fraction of dry density-varying granular flows
指導教授:戴義欽
指導教授(外文):Yih-Chin Tai
學位類別:碩士
校院名稱:國立成功大學
系所名稱:水利及海洋工程學系碩博士班
學門:工程學門
學類:河海工程學類
論文種類:學術論文
論文出版年:2012
畢業學年度:100
語文別:中文
論文頁數:79
中文關鍵詞:顆粒流兩相流可變密度修正係數
外文關鍵詞:granular flowstwo-phase flowdensity-varyingcorrection parameter
相關次數:
  • 被引用被引用:0
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  • 下載下載:10
  • 收藏至我的研究室書目清單書目收藏:0
在自然環境與工業上常可發現到乾顆粒物質的流動現象。一般在計算三維流場中的流動特性時,往往透過流體垂直方向上的積分來簡化方程式數值計算的複雜度以及縮短運算時間。在最簡化的情形則為將垂直方向上的密度分佈等物理量都視為均勻分佈。修正係數則為在物理量呈現非均勻分佈時的一種折衷方案。本文是以縱向為可變密度之兩相流混合物理論模型為基礎,來建構出連續方程式以及運動方程式。本研究中,允許顆粒間間隙氣體流進出顆粒流體、並將固相、液相間的交互作用力列入考慮。依據不同的尺度,再歸納成兩種方程組系統。在第一種模式用來表示較大尺度,可以泛指一般山崩、土石流;而第二種模式適用於較小尺度,例如小粒徑的標準砂。這項研究是以潰壩和傾斜式瀉槽來進行模擬,藉由改變流場內的交互作用力、入滲率,以及再加上可變密度和速度在縱向上的不同分佈所得之修正係數值,來探究其對顆粒流體的流動行為有何影響。
The flow of dry granular materials is common in natural and industrial environment. Depth integration along the flow thickness is a common methodology for simplifying the complexity of numerical computation as well as reducing the computation time in 3-D simulation. A most simplistic assumption is the uniform distribution of the density and velocity. However, this assumption may not meet the reality. The correction parameters are alternatives of including the non-uniform distribution of the physical quantities in the governing equations. In the present work, the flow body is treated as a fluid of variable density, and its behavior is described by a two-phase flow mixture model, which consists of the continuity equations and momentum equations. In this thesis, the interstitial air is allowed to flow through the flow surface into or out from the flowing body. In addition, the force of interaction between the solid constituent material and the interstitial fluid is taken into account. Two versions of model are proposed, according to different scales. The first model is devoted to the flows of large scale, such as the landslides or debris flows in nature. In the second model, flows of smaller scale are considered, for examples, flows of standard sand in laboratory. In this study, a dam-break flow and an inclined chute flow serve as bench mark examples for investigating the dynamic behaviors of the granular flows, in which the effect of the interaction force, the entrainment rate and the corresponding correction parameters are discussed.
目錄
中文摘要 I
ABSTRACT II
誌謝 III
目錄 IV
圖目錄 VI
表目錄 IX
第一章 序論 1
1.1 研究背景 2
1.2 前人研究 4
1.3 本文組織 5
第二章 理論基礎 6
2.1 控制方程式 6
2.2 邊界條件 9
2.3 深度積分平衡方程式的推導 11
2.4 無因次化之控制方程式 15
2.5 適用小粒徑之控制方程式 23
第三章 方程組參數 32
3.1 修正係數分析 32
3.2 動床上的流況分析 34
3.3 定床上的流況分析 38
3.4 係數的敏感度分析 41
第四章 以數值方法探討各係數之影響 48
4.1 潰壩及傾斜槽條件設置 48
4.2 係數對結果之影響 51
第五章 結果與討論 70
5.1 結論 70
5.2 未來展望 71
參考文獻 74
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