本文研究是對於〖LaNi〗_5儲氫金屬之儲氫罐於吸氫與釋氫的情況下探討其數值模擬分析，為了使儲氫罐內的儲氫金屬可以實現模組化替換，〖LaNi〗_5儲氫金屬採用一片一片組合式的方式以減少整體壓定而無法汰換的情況。
金屬合金儲氫罐可以分成三個主要構成部分，罐壁熱交換區、金屬氫化物膨脹區、多孔性介質區，其中罐中上層為吸氫金屬因膨脹而預留的膨脹區，下層為存放儲氫金屬的多孔介質區，氫氣與金屬合金的質量變化可以使用連勳方程式來表示，再多孔介質區以及膨脹區可以分別使用布林克曼-佛許海默方程式以及那維爾-史托克斯方程式來表示流體的流動方式，當吸氫時為放熱，釋氫時為吸熱因此需要外部熱源提供熱能，所以可以利用能量方程式來處理熱在上述兩情況下的問題，並且將上述三大方程式利用數值模擬軟體COMSOL Mutilphysics 6.1來進行有限元素差分得數值模擬分析。

The research in this article is to explore the numerical simulation analysis of the 〖LaNi〗_5 hydrogen storage metal hydrogen storage tank under the conditions of hydrogen absorption and release. In order to enable the modular replacement of the hydrogen storage metal in the hydrogen storage tank, 〖LaNi〗_5 The hydrogen storage metal is assembled piece by piece to reduce the situation that the whole is pressed and cannot be replaced.
The metal alloy hydrogen storage tank can be divided into three main components, the tank wall heat exchange area, the metal hydride expansion area, and the porous medium area. The upper layer in the tank is the expansion area reserved for the expansion of the hydrogen-absorbing metal, and the lower layer is the storage area. In the porous media region of hydrogen storage metal, the mass change of hydrogen gas and metal alloy can be expressed by the Lien-Hsun equation, and the porous media region and expansion region can be expressed by the Brinkmann-Forschheimer equation and the Neville-Stokes equation respectively. To represent the flow mode of the fluid, when hydrogen is absorbed, it is exothermic, and when hydrogen is released, it is endothermic. Therefore, an external heat source is required to provide thermal energy. Therefore, the energy equation can be used to deal with the problem of heat in the above two situations, and the above three major equations The numerical simulation software COMSOL Mutilphysics 6.1 was used to conduct numerical simulation analysis of finite element difference.

摘要 i
Abstract ii
致謝 iii
目錄 iv
符號說明 ( Nomenclature ) vii
表目錄 ix
圖目錄 1
第1章 緒論 6
1.1 前言 6
1.2 文獻回顧 7
1.2.1 先進儲氫材料製成技術 7
1.2.2 儲氫罐吸氫釋氫壓力歸一化方法 7
1.2.3 吸放氫反應速率阿瑞尼斯方法證明 8
1.2.4 儲氫罐傳熱系統熱交換 8
1.2.5 相變化材料對儲氫罐散熱效果 9
1.2.6 台灣現階段完成的儲氫罐模擬與實驗 10
1.3 研究目的 11
第2章 金屬儲氫罐在吸氫脫氫的反應機制 13
2.1 儲氫金屬吸放氫氣的化學反應 13
2.2 儲氫金屬吸放氫氣的材料特性 13
2.3 儲氫金屬吸放氫氣的平衡壓力 15
2.4 儲氫金屬吸放氫多孔介質積膨脹收縮證明 17
2.5 不同金屬儲氫合金的操作溫度與操作壓力 18
第3章 研究方法 19
3.1 數學模型 19
3.1.1 模型驗證結果 21
3.1.2 模組化儲氫罐模型1 23
3.1.3 模組化儲氫罐模型2 25
3.2 體積膨脹區數學模型 28
3.2.1 體積膨脹區物理觀念 28
3.2.2 膨脹區連續方程式(Continuity equation) 28
3.2.3 膨脹區動量方程式(Momentum equation) 29
3.2.4 膨脹區能量方程式(Energy equation) 29
3.3 金屬儲氫多孔介質區數學模型 30
3.3.1 金屬儲氫合金多孔介質區連續方程式(Continuity equation) 30
3.3.2 金屬儲氫合金多孔介質區動量方程式(Momentum equation) 31
3.3.3 金屬儲氫合金多孔介質區能量方程式(Energy equation) 32
3.4 相變化材料熱交換模式 33
3.4.1 相變化材料的能量方程式(Energy equation) 33
3.5 金屬儲氫合金反應動力學 34
3.5.1 脫氫反應動力學證明 34
3.5.2 金屬儲氫合金釋氫速率 36
3.6 基本假設 36
3.7 初始條件(Initial conditions) 37
3.7.1 釋氫時模型的初始條件 37
3.8 邊界條件(Boundary condition) 37
3.8.1 釋氫時模型的邊界條件 37
第4章 結果與討論 40
4.1 模型驗證 40
4.2 網格格點獨立性測試 42
4.3 基本罐體設計與驗證比較 43
4.4 模組化罐體設計:圓柱形儲氫金屬罐體 48
4.4.1 圓柱儲氫罐體 48
4.4.2 體積率對於儲氫罐的影響 49
4.4.3 模型1圓柱形儲氫金屬罐 50
4.5 模組化罐體設計:扇形柱儲氫金屬罐體 61
4.5.1 扇形柱儲氫金屬合金罐體 61
4.5.2 不同辦數儲氫合金對整體反應的影響 62
4.6 模組化罐體設計:內層扇形柱配外層圓柱儲氫金屬罐體 86
4.6.1 內層扇形柱配外層圓柱儲氫金屬合金罐體 86
4.6.2 兩者結合與單一扇形模型的比較 87
第5章 結論與未來建議 95
5.1 結論 95
5.2 未來建議 97
5.2.1 實體孔隙率變動 97
5.2.2 新式儲氫金屬合金 97
5.2.3 熱交換系統或是儲熱系統改善 97
第6章 參考文獻 99

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