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研究生: 余雅雯
Yu, Ya-Wen
論文名稱: 碳捕捉噴淋塔之熱質傳計算分析
Numerical Analysis of Heat and Mass Transfer Characteristics in a Scrubber for Carbon Capture
指導教授: 楊天祥
Yang, Tian-Shiang
學位類別: 碩士
Master
系所名稱: 工學院 - 機械工程學系
Department of Mechanical Engineering
論文出版年: 2026
畢業學年度: 114
語文別: 中文
論文頁數: 138
中文關鍵詞: 二氧化碳捕捉氫氧化鈉化學吸收質量傳遞反應動力學
外文關鍵詞: CO₂ capture, sodium hydroxide, chemical absorption, mass transfer, reaction kinetics
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  • 物理化學模型方面,本研究以雙膜理論(two-film theory)計算氣液相間之質量傳遞,以亨利定律描述界面相平衡並納入溫度修正。統御方程式上,將液滴群視為具代表性之集總系統(lumped system),以單一代表性液滴搭配液滴數目密度場,於一維軸向逆流假設下推導質量、動量與能量守恆方程式,並以四階 Runge–Kutta 法數值積分;復以現場量測之風量與進出口 CO₂ 濃度資料作為驗證基準,進而系統性分析設備設計與操作參數對吸收效能之影響。
    透過適當調整代表液滴之粒徑 686 μm,模型預測之 CO₂ 質量吸收率與實測值 2.64 × 10⁻³ kg/s 相符;基於驗證後之模型,本研究針對液滴直徑、塔內氣速、液滴初始速度、塔高、進口 CO₂ 莫爾分率等五項參數進行分析。
    結果顯示:質量吸收率與吸收效率對參數之響應方向未必一致,須併同檢視落下時間、單滴質量增量、質量吸收率與吸收效率四項指標,方能完整評估操作條件之優劣。液滴直徑於單滴尺度呈 U 形(最不利粒徑約 800 μm),惟系統級因數密度 nd∝ 1/d³ 主導,使 η 隨 d 由近 1.0 單調降至 0.006;塔內氣速增大使 ṁCO₂ 微升 9% 而 η 驟降 88%,呈產能與效率之背離;液滴初始速度與塔高則透過接觸時間直接主導,η 分別衰減 7.7 倍 (Vd(0) 增至 40 m/s)與遞增逾百倍(z₀ 增至 30 m);進口 CO₂ 莫爾分率提高使 ṁCO₂ 躍升逾十倍而 η 持平(0.056 → 0.065)。

    With respect to the physicochemical model, this study employs two-film theory to compute interphase gas–liquid mass transfer, and describes interfacial phase equilibrium via Henry's law with a temperature correction incorporated. For the governing equations, the droplet population is treated as a representative lumped system, in which a single representative droplet is coupled with a droplet number-density field; under a one-dimensional, axial, counter-current assumption, the conservation equations of mass, momentum, and energy are derived and integrated numerically using a fourth-order Runge–Kutta method. Field-measured air flow rates together with inlet and outlet CO₂ concentrations serve as the validation benchmark, upon which the influence of equipment design and operating parameters on absorption performance is systematically analyzed.
    By appropriately tuning the representative droplet diameter to 686 μm, the model-predicted CO₂ mass absorption rate agrees with the measured value of 2.64 × 10⁻³ kg/s. Based on the validated model, five parameters are examined: droplet diameter, in-tower gas velocity, droplet initial velocity, tower height, and inlet CO₂ mole fraction.
    The results show that the mass absorption rate and the absorption efficiency do not necessarily respond in the same direction to a given parameter; a complete assessment of the merits of an operating condition therefore requires the four indicators—fall time, per-droplet mass increment, mass absorption rate, and absorption efficiency—to be examined jointly. At the single-droplet scale, droplet diameter exhibits a U-shaped response (with the least favorable diameter at approximately 800 μm); however, at the system level the number density (∝ 1/d³) dominates, causing η to decrease monotonically from nearly 1.0 to 0.006 as d increases. Increasing the in-tower gas velocity raises ṁ by 9% while η drops sharply by 88%, reflecting a divergence between throughput and efficiency. The droplet initial velocity and the tower height govern performance directly through contact time, with η decreasing by a factor of 7.7 (as the initial velocity increases to 40 m/s) and increasing by more than a hundredfold (as z₀ increases to 30 m), respectively. Raising the inlet CO₂ mole fraction causes ṁCO₂to increase by more than tenfold while η remains essentially flat (0.056 → 0.065).

    摘要 i 目錄 xxvii 表目錄 xxxi 圖目錄 xxxii 符號表 xxxiv Chaper 1. 緒論 1 1.1 研究動機與目標 2 1.2 文獻回顧 7 1.2.1 碳捕捉技術概述 7 1.2.2 氫氧化鈉水溶液吸收二氧化碳機制 8 1.2.3 影響吸收效率的關鍵參數 11 1.2.4 不同反應器類型的應用 13 1.2.5 研究缺口與本研究定位 15 1.3 研究架構 17 Chaper 2. 噴淋塔設備簡介及數據量測 19 2.1 塔體構造與幾何配置 19 2.2 數據量測 21 2.2.1 進氣風量與塔內表觀氣速 21 2.2.2 噴嘴系統與液滴初始條件 21 2.2.3 操作條件與化學系統 22 2.2.4 進出口 CO2 濃度與吸收速率 22 2.2.5 模型基準參數整理 23 Chaper 3. 二氧化碳捕捉之物理化學機制 25 3.1 氣相質傳與界面吸附(雙膜理論) 26 3.1.1 氣膜質傳係數 27 3.1.2 液膜質傳係數與液滴振盪 27 3.1.3 溶液表面張力 29 3.1.4 液相擴散係數 30 3.1.5 化學增強因子 31 3.2 亨利定律 33 3.3 液滴內部的化學反應 34 3.3.1 組分質量守恆與反應源項 34 3.3.2 化學反應動力學 35 3.3.3 反應熱與吸收焓 38 3.4 動量與熱傳封閉模型 39 3.4.1 阻力係數 39 3.4.2 對流熱傳模型 40 3.5 熱物理性質 40 3.5.1 氣相混合物黏度 40 3.5.2 氣相混合物熱導率 41 3.5.3 液滴比熱與密度 41 3.6 本章小結 42 Chaper 4. 計算模型 43 4.1 模型架構與基本假設 43 4.1.1 座標系統與物理構型 43 4.1.2 基本假設 44 4.2 液滴數目守恆 45 4.3 質量守恆 47 4.3.1 液滴質量守恆 47 4.3.2 氣-液混合物總質量守恆 48 4.3.3 二氧化碳組分質量守恆 49 4.4 動量守恆 50 4.4.1 液滴動量守恆 50 4.4.2 氣相混合物動量守恆 52 4.5 能量守恆 53 4.5.1 液滴能量守恆 53 4.5.2 氣相混合物能量守恆 55 4.6 狀態方程式與組成關係 56 4.6.1 理想氣體狀態方程式 56 4.6.2 莫爾分率與質量分率之轉換 57 4.7 邊界條件與初始條件 57 4.8 方程組之封閉性與求解 58 4.9 本章小結 59 Chaper 5. 計算結果與討論 60 5.1 基本參數設計 60 5.2 液滴粒徑之影響 66 5.2.1 粒徑對落下時間之影響 66 5.2.2 粒徑對單滴質量增量之影響 67 5.2.3 粒徑對吸收率與吸收質量流率之影響 69 5.3 塔內氣速之影響 71 5.3.1 氣速對落下時間之影響 71 5.3.2 氣速對單滴質量增量之影響 72 5.3.3 氣速對吸收率與吸收質量流率之影響 73 5.4 液滴初始速度之影響 74 5.4.1 初始速度對落下時間之影響 75 5.4.2 初始速度對單滴質量增量之影響 76 5.4.3 初始速度對吸收率之影響 78 5.5 塔高之影響 79 5.5.1 塔高對落下時間之影響 79 5.5.2 塔高對單滴質量增量之影響 80 5.5.3 塔高對吸收率之影響 81 5.6 進口 CO₂ 莫爾分率之影響 83 5.6.1 CO₂ 分率對落下時間之影響 83 5.6.2 CO₂ 分率對單滴質量增量之影響 84 5.6.3 CO₂ 分率對吸收率與吸收質量流率之影響 85 5.7 綜合討論 87 Chapter 6. 結論與未來展望 90 6.1 結論 90 6.2 未來展望 91 參考文獻 92

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