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姓名 江宗軒(TSUNG-HSUAN CHIANG) 查詢紙本館藏 畢業系所 機械工程學系 論文名稱 以排液容器法量測液態錫的密度、黏度以及表面張力
(Measuring the density、 surface tension and viscosity of a Tin fluid by the draining vessel method)相關論文 檔案 [Endnote RIS 格式]
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摘要(中) 在現今科技中,為了金屬噴粉以及計算流體力學發展,得知高溫金屬液之物性變得十分重要,但大多量測高溫金屬液體之設備,除了價格高昂之外,且至多僅能同時量測兩種物性,因此本文使用排液容器法(Draining vessel method)的方法學,其優勢為一次量測三種物性,且裝置較簡易價格較低廉,再配合適當的演算法,同時量測出密度、黏度以及表面張力,此方法不論是冷流場抑或是高溫金屬液都可以進行量測。本實驗以錫液為主,系統設計以傳統高溫爐為雛形,將底部開有小孔之圓柱形不鏽鋼乾鍋放置高溫爐內部進行加溫,並在上方通一塞子孔道,以及在下方通一排液孔道,使預測物性之流體能流出此容器,不同的流體物性會有不同的流動特性,本文使用描述內部流動特性之修正伯努力方程式來收集其液面變化之高度頭與質量通量的數據,並結合數值方法配合敏感度分析使用適當的高度頭範圍,並使理論高度頭與實驗高度頭誤差平方和最小化,以得到最佳物性解。本研究使用此數值方法量測錫液,比較一次迴歸與三階段迴歸之收斂結果,發現密度與黏度的量測能有效提升準確性。 摘要(英) To impure the results of metal injection molding and the accuracy of computational fluid dynamics, it is important to know the physical properties of high-temperature metal liquids. Most of the measuring instruments can only measure one or two physical properties at the same time. Recently a method called Draining Vessel Method has been developed to simultaneously measure density, viscosity and surface tension. This method can be applied to both a cold flow field and a high temperature metal liquid. In this thesis, the physical properties of tin liquid were measured using the draining vessel method. The experimental system was set up with a furnace to build the prototype. A cylindrical stainless steel container with a small hole at the bottom is placed inside the furnace for heating, and a plug hole is opened at the furnace upper side, and a drain hole is opened at the furnace bottom. The fluid can flow from the container to the load cell. Different fluid properties result in different inject. The modified Bernoulli equations describing flow characteristics to collect two data of elevation height head and mass flux. Combined with numerical methods and sensitivity analysis. The fluid’s density, viscosity and surface tension were computed iteratively through minimizing the difference between the theoretical and experimental elevation heads. In this study, this numerical method was used to measure the tin liquid, and the convergence results of the primary regression and the three-stage regression were compared. It was found that the measurement of density and viscosity can effectively improve the accuracy. 關鍵字(中) ★ 排液容器法
★ 密度
★ 黏度
★ 表面張力
★ 物性量測關鍵字(英) ★ deaining vessel method
★ density
★ viscosity
★ surface tension
★ physical property measurement論文目次 目錄
中文摘要 i
Abstract ii
符號說明 iii
英文字母 iii
希臘字母 iii
目錄 iv
圖目錄 vii
表目錄 ix
第一章 緒論 1
1.1研究動機 1
1.2文獻回顧 2
1.3研究目的 4
第二章 實驗設計 8
2.1實驗裝置 8
2.1.1高溫爐 8
2.1.2排液容器 9
2.1.3塞子 9
2.1.4荷重元 9
2.1.5熱電偶 10
2.1.6 NI資料擷取系統 10
2.2 實驗程序 11
2.2.1實驗步驟 11
2.2.2數據處理 11
第三章 實驗原理 17
3.1數學公式 17
3.2修正系數與雷諾數之關係式 19
3.3非線性最小平方配式 20
3.4敏感度分析 21
3.4.1誤差對於密度之影響 22
3.4.2誤差對於黏度之影響 23
3.4.3誤差對表面張力的影響 25
3.5演算法 26
3.5.1一次迴歸三種物性 26
3.5.2 三階段迴歸 27
第四章 結果與討論 36
4.1 修正曲線 36
4.1.1 水之修正曲線 36
4.1.2 複合式修正曲線 36
4.1.3高雷諾數修正曲線 37
4.2 敏感度分析 37
4.2.1水的相對敏感度係數 37
4.2.2 錫之敏感度相對係數 38
4.3 物性迴歸結果 39
4.3.1 水之驗證 39
4.3.2 演算法之比較 39
4.3.3 修正曲線之選擇 40
4.3.4 總質量差異之比較 41
4.4 使用模擬數據與模擬進行比較 41
4.4.1模擬修正曲線 41
4.4.2 迴歸結果 41
第五章 結論與未來展望 60
5.1 結論 60
5.2未來展望 61
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莊宗翰. (2019). 以排液容器法量測流體的密度、黏度以及表面張力. 國立中央大學碩士論文.
顏芷珊. (2019). 以計算流體力學結合排液容器法量測錫液之密度、黏度與表面張力係數. 國立中央大學碩士論文.
指導教授 鍾志昂(CHIH-ANG CHUNG) 審核日期 2019-8-22 推文 plurk
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