以離散元素法探討具中空圓柱形置入物之三維儲槽內顆粒流的卸載行為

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姓名

湯智銘(Chih-Ming Tang) 查詢紙本館藏

畢業系所

機械工程學系

論文名稱

以離散元素法探討具中空圓柱形置入物之三維儲槽內顆粒流的卸載行為

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至系統瀏覽論文 (2030-1-31以後開放)

摘要(中)

本研究採用離散元素法(Discrete Element Method, DEM)模擬顆粒體於具中空圓柱形置入物之三維儲槽內的循環卸載行為，探討不同尺寸參數的置入物對儲槽顆粒流質量流率的影響，並進一步分析三種置入物尺寸參數，包含置入物的裝置位置、高度與直徑，探討這些參數對儲槽中顆粒流傳輸性質與內部性質的影響，研究結果顯示：(1) 質量流率受置入物尺寸參數的影響差異甚鉅，置入物儲槽的最大質量流率為無置入物儲槽的1.35倍，最小質量流率僅有無置入物儲槽的0.6倍；(2) 採用高度較高與直徑較大的置入物導致置入物半徑範圍內的垂直速度顯著增加，並使置入物半徑範圍外的速度減少，速度分佈發生不連續；(3) 裝有置入物的儲槽於置入物下方的顆粒匯流處速度擾動較大，呈現較高的粒子溫度；(4) 裝入高度較高或直徑較大的置入物使置入物內側的顆粒滯留時間減少；(5) 同時採用高度與直徑皆大於60 mm的置入物，造成儲槽圓柱區域的壁面峰值壓力顯著增加；(6) 採用高度較高或直徑較大的置入物，在儲槽漏斗區域的壁面壓力均小於無置入物儲槽的壁面壓力；(7) 置入物儲槽的正向應力分佈均在置入物內側呈現較小值，並於置入物外側因顆粒堆積與漏斗斜面阻礙呈現較大的應力值。

摘要(英)

This study employs the Discrete Element Method (DEM) to simulate the cyclic discharging behavior of granular materials within a three-dimensional silo equipped with hollow cylinder inserts. It investigates the effects of different size parameters of the inserts on the mass flow rate of the granular flow in the silo. Additionally, the study analyzes three size parameters of the inserts: device position, height, and diameter. To explore their influence on the transport properties and internal physical properties of the granular flow within the silo. The findings reveal the following: (1) The mass flow rate is significantly affected by the size parameters of the inserts. The maximum mass flow rate of a silo with inserts is 1.35 times that of a silo without inserts, while the minimum mass flow rate is only 0.6 times that of a silo without inserts. (2) Inserts with greater height and larger diameter lead to a significant increase in vertical velocity within the radius of the insert, while reducing the velocity outside the insert′s radius, resulting in discontinuities in the velocity distribution. (3) Silos with inserts exhibit greater fluctuation velocities and higher granular temperatures at the confluence below the insert. (4) Inserts with greater height and larger diameter reduce the residence time of particles within the radius of the insert. (5) Inserts with both height and diameter exceeding 60 mm cause a significant increase in peak wall pressure within the cylindrical region of the silo. (6) In the hopper region of the silo, the wall pressure for silos with inserts is lower than that of silos without inserts when using inserts with greater height or larger diameter. (7) The normal stress distribution in silos with inserts shows smaller values inside the insert, while outside the insert, due to particle accumulation and obstruction by the hopper slope, the stress values are higher.

關鍵字(中)

★ 三維儲槽
★ 中空圓柱形置入物
★ 離散元素電腦模擬
★ 傳輸性質
★ 內部性質
★ 應力分佈

關鍵字(英)

★ 3D silo
★ hollow cylindrical inserts
★ discrete element simulation
★ transport properties
★ internal physical properties
★ stress distribution

論文目次

摘要 i
Abstract ii
目錄 iii
附表目錄 vi
附圖目錄 vii
第一章緒論 1
1-1 研究背景 1
1-2 文獻回顧 1
1-2-1 儲槽顆粒流傳輸性質 1
1-2-2 儲槽顆粒流內部性質 4
1-3 研究動機與目的 6
第二章研究方法 7
2-1 離散元素法 7
2-1-1 離散元素法之架構 7
2-1-2 三維剛體運動方程式 7
2-1-3 接觸力模型 9
2-1-4 臨界時間步 10
2-2 離散元素電腦模擬參數 11
2-2-1 儲槽與置入物模型建模 11
2-2-2 離散元素模擬輸入參數 12
2-2-3 降低模數法 12
2-2-4 時間與空間平均技術 13
2-3 顆粒流傳輸性質 13
2-3-1 局部平均速度 13
2-3-2 擾動速度 14
2-3-3 粒子溫度 15
2-4 顆粒流內部性質 16
2-4-1 邊壁壓力 16
2-4-2 粒子體積佔有率 16
2-4-3 平均配位數 16
2-4-4 應力 17
2-4-4-1 應力張量 17
2-4-4-2 von Mises應力 18
第三章結果與討論 19
3-1 置入物尺寸對儲槽顆粒流傳輸性質的影響 19
3-1-1 質量流率 19
3-1-2 垂直速度分佈 21
3-1-3 徑向速度分佈 22
3-1-4 擾動速度分佈 23
3-1-5 滯留時間 25
3-1-6 粒子溫度 27
3-2 置入物尺寸對儲槽顆粒流內部性質的影響 28
3-2-1 邊壁法向壓力 28
3-2-2 邊壁垂直切向壓力 30
3-2-3 粒子體積佔有率 32
3-2-4 平均配位數 34
3-3 置入物尺寸對儲槽顆粒流應力的影響 36
3-3-1 徑向應力 36
3-3-2 環向應力 37
3-3-3 垂直應力 39
3-3-4 剪應力 40
3-3-5 von Mises 應力 41
第四章結論與未來展望 44
4-1 結論 44
4-2 未來展望 45
參考文獻 46
附錄 49
附表 50
附圖 52

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指導教授

鍾雲吉

審核日期

2025-1-22

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