臺灣博碩士論文加值系統

本研究之目的在於研究形狀固定粒子與液體在高濃度液化中之交互作用，並且發展實驗與數值模擬計算工具。實驗方法是利用已發展之三維立體影像分析，追蹤在液體中有相同折射率之透明可視核心粒子之運動現象。這個實驗分析方法，可藉由量測1,000顆球體粒子在液化中得到之三維環流現象證明其能力。關於數值模擬，本方法結合拉格朗日力學與無網格數值方法，應用於形狀固定圓盤狀物體移動在二維勢能流中。而模擬結果也表現出粒子運動現象是如何受到液體慣性所影響。

The goal of the present study is to develop experimental and computational tools for the study of concentrated dispersions of solid particles interacting with a liquid. The experimental approach developed uses stereo imaging to track the motions of the visible cores of transparent particles bathed in a liquid of identical refractive index. The capability of the approach is demonstrated by measuring the 3D circulation inside a fluidisation of 1,000 spheres. For the computational approach, Lagrangian dynamics is combined with the meshless Method of Fundamental Solutions. This approach is applied to rigid disks moving in a 2D potential flow. The resulting simulations show how liquid inertia influences the particle motions.

誌謝
摘要 ……… Ⅰ
Abstract ……… Ⅱ
Table of contents ……… Ⅲ
Table List ……… Ⅴ
Figure List ……… Ⅵ

1. Introduction ……… 1.1

2. Fluidisation experiments and imaging methods……… 2.1
2.1 Solid and liquid materials with matched refraction index ……… 2.2
2.2 Experimental apparatus ……… 2.5
2.3 Stereo imaging procedure ……… 2.8
2.4 Image analysis algorithms ……… 2.9
2.5 Three-dimensional PTV results ……… 2.15

3. Lagrangian computations of solid body motions in a liquid ……… 3.1
3.1 Lagrangian mechanics of solid bodies ……… 3.2
3.2 Potential flow around a moving cylinder ……… 3.5
3.3 Boundary conditions for circular cavity and periodic box ……… 3.8
3.4 Lagrangian mechanics of solid bodies in a liquid
……… 3.11
3.5 Calculation examples for simple configurations
……… 3.14
3.6 Simulations of rigid particles interacting with a liquid ……… 3.16

4. Conclusions and avenues for future work ……… 4.1
4.1 Conclusions ……… 4.1
4.2 Issues for further work ……… 4.2

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