本研究主要是探討以套管型模組應用在薄膜氣體吸收系統之解析解與實驗之驗證。針對套管型薄膜模組的部份，建立其速度分佈式及邊界條件。而在薄膜氣體吸收系統中，氣體溶質於氣、液兩相內之質傳屬於共軛格拉茲問題，利用正交性質展開法建立二維濃度分佈式，並配合分離變數法及級數展開可求得系統之解析解，且利用乙醇胺之化性，建構二氧化碳/乙醇胺之薄膜吸收系統，針對套管型模組系統之實驗操作，並建構數學理論的研究，也進一步推導出氣體溶質在氣-液薄膜接觸器內，於氣、液兩相中之平均濃度、質傳係數、吸收速率及吸收效率等物理量之數學表示式。
以本文所建構之理論為基礎，改變氣、液兩相之進料流量與混合氣體進料的濃度，對二氧化碳之化學吸收作廣泛的討論，並且配合實驗分析結果印證理論分析之準確性，研究之主要價值在於無需經過冗長費時的實驗即可求得整個吸收系統之質傳係數及氣體溶質的二維濃度分佈式，進一步可討論各種變因對吸收效率的影響。

The device performance of the membrane gas absorption system was investigated theoretically and experimentally in the present study. A mathematical formulation for a membrane gas absorption system was developed in a concentric circular gas–liquid membrane contactor that independently regulates gas and liquid flow streams. Chemical absorption of carbon dioxide by amine was carried out and illustrated to validate the theoretical predictions. The analytical solutions of mathematical formulations for such a conjugated Graetz problem were solved using the orthogonal expansion technique extended in power series. The absorption efficiency was calculated with the absorbent flow rate, gas feed flow rate and carbon dioxide concentration in the gas feed as parameters. The theoretical predictions show that the effect of the initial carbon dioxide concentration in the gas feed on the absorption efficiency is more significant. The influences of operating and design parameters on the absorption efficiency and total absorption rate are also discussed.

中文摘要                                                   I
英文摘要                                                  II
目錄                                                     III
圖目錄                                                    VI
表目錄                                                    IX
符號說明                                                   X
第一章緒論                                                 1
1-1 引言                                                   1
1-2 薄膜氣體吸收                                           2
1-3 醇胺的種類                                             4
1-4 研究動機與方向                                         5
第二章 文獻回顧                                            7
2-1 文獻回顧                                               7
2-2 格拉茲問題                                             9
第三章套管型順流式氣-液薄膜接觸器                           11
3-1 基本理論                                              11
3-2 平均濃度與質傳係數                                     18
3-3 吸收速率與吸收效率                                     19
3-4 計算範例、結果與討論                                   19
第四章套管型逆流式氣-液薄膜接觸器                           31
4-1 基本理論                                              31
4-2 平均濃度與質傳係數                                     37
4-3 吸收速率與吸收效率                                     38
4-4 計算範例、結果與討論                                   39
第五章實驗分析                                             48
5-1 套管型薄膜吸收系統                                     48
5-2 套管型薄膜吸收模組                                     53
5-3 實驗步驟                                              58
5-4 結果與討論                                            60
第六章結論                                                71
參考文獻                                                  72
附錄A 正交性質證明                                         79
附錄B 積分公式證明                                         84
B-1 套管型模組順流系統積分公式                             85
B-2 套管型模組逆流系統積分公式                             88
附錄C 展開係數求解過程                                     90
C-1 套管型模組順流展開系數                                 96
C-2 套管型模組逆流展開系數                                 99
附錄D 平均濃度                                           102
D-1 套管型模組順流系統平均濃度                            103
D-2 套管型模組逆流系統平均濃度                            104

圖目錄
圖 3.1 套管型順流式氣-液薄膜接觸器。                       22
圖3.2 套管型薄膜氣-液接觸氣內，氣體溶質於氣、液兩相中的無因次
濃度分佈求解流程圖                                        23
圖3.2(續)套管型薄膜氣-液接觸氣內，氣體溶質於氣、液兩相中的無因
次濃度分佈求解流程圖                                      24
圖3.3 套管型吸收模組順流式操作於接觸器於不同位置之濃度分佈。
( Gza = 101.98，Gzb = 13656.4)                           25
圖3.4 套管型吸收模組順流操作之平均謝塢數與液相平均流率關係。 26
圖3.5 套管型順流式吸收模組不同氣體濃度下，Gzb 與吸收效率之關
係。                                                      27
圖3.6 套管型吸收模組不同Gza 下，Gzb 與吸收效率之關係。       28
圖4.1 套管型順流式氣-液薄膜接觸器。                         41
圖4.2 套管型吸收模組逆流式操作於接觸器於不同位置之濃度分佈。
( Gza = 101.98，Gzb = 13656.4)                            42
圖4.3 套管型吸收模組之平均謝塢數與液相平均流率關係。         43
圖4.4 套管型吸收模組不同氣體濃度下，Gzb 與吸收效率之關係。   44
圖4.5 套管型吸收模組不同Gza 下，Gzb 與吸收效率之關係。       45
圖 5.1 順流套管型薄膜吸收系統簡圖。                         49
圖5.2 逆流套管型薄膜吸收系統簡圖。                          49
圖5.3 套管形薄膜吸收系統實驗設備圖。                        50
圖5.4 氣體質量控制器                                       51
圖5.5 恆溫槽設備(熱)                                       51
圖5.6 氣相層析儀 (GC)                                     52
圖5.7 套管型模組之內管(a)不銹鋼管(b)將薄膜固定於上          54
圖5.8 薄膜管實際圖                                         55
圖5.9(a)套管型模組管實際圖(b)包覆絕熱棉簡圖。               56
圖5.10 套管型模組順流系統中，理論與實驗之氣相平均濃度與液相流
率之關係。                                                62
圖5.11 套管型模組逆流系統中，理論與實驗之氣相平均濃度與液相流
率之關係。                                                63
圖5.12 套管型模組順流系統中，理論與實驗之二氧化碳吸收速率與液
相流率之關係。(Qa=5cm3/s)                                  64
圖5.13 套管型模組逆流系統中，理論與實驗之二氧化碳吸收速率與液
相流率之關係。(Qa=5cm3/s)                                  65
圖5.14 套管型模組順流系統中，理論與實驗之二氧化碳薄膜通量與液
相流率之關係。 (Qa=5cm3/s)                                 66
圖 5.15 套管型模組逆流系統中，理論與實驗之二氧化碳薄膜通量與液
相流率之關係。 (Qa=5cm3/s)                                 67
圖5.16 套管型模組順流系統中，理論與實驗之吸收效率與液相流率之
關係。 (Qa=5cm3/s)                                        68
圖5.17 套管型維模組逆流系統中，理論與實驗之吸收效率與液相流率
之關係。(Qa=5cm3/s)                                       69

表目錄
表 3.1 套管型順流式氣-液薄膜接觸器特徵值數目對無因次平均出口
濃度之比較。(n=500)                                       29
表3.2 套管型順流式氣-液薄膜接觸器特徵值數目對無因次平均出口
濃度之比較。(n=600)                                       30
表4.1 套管型逆流式氣-液薄膜接觸器特徵值數目對無因次平均出口
濃度之比較。(n=500)                                       46
表4.1 套管型逆流式氣-液薄膜接觸器特徵值數目對無因次平均出口
濃度之比較。(n=600)                                       47
表5.1 實驗值與理論值之平均誤差                             70
表5.2 液相及氣相雷諾數                                     70

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