本研究主要是針對屬於共軛格拉茲問題的薄膜氣體吸收系統進行理論分析，利用正交展開法求得系統中氣體溶質於氣、液兩相內之二維濃度分佈式，所推導出之解題流程適用於平板之順流與逆流系統。使用分離變數法將系統之偏微分方程式化簡為常微分方程式以求解其特徵函數計算符合入、出口處之邊界條件。研究中也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分佈、質傳係數、吸收速率及吸收效率等物理量之數學表示式。
    以本論文所推導之理論為基礎，以醇胺對二氧化碳之化學吸收作廣泛的討論，結果發現，不論是何種類型之吸收，增加液體的流率或減少氣體的流率皆能增加二氧化碳之吸收效率，而各種濃度變化的趨勢，也都能符合吾等之預期。此外，由平板吸收實驗所得之結果更可以確定本論文所提出的數學模型之正確性。
    本論文最大的貢獻為無須花費過多的費用時的實驗即可求出整個吸收系統的質傳係數以及氣體溶質之二維濃度分佈式，對影響薄膜吸收的各種變因有更進一步的認識。

The absorption efficiency of CO2 in ethanolamine (MEA) solvent system of a parallel-plate membrane contactor with countercurrent- flow and concurrent-flow operation was investigated theoretically and experimentally.  A two-dimensional modeling equation for predicting the concentration distribution and total absorption rate was developed and the analytical solution for the resultant partial differential equations is obtained using the separated variables method with an orthogonal expansion technique.  The theoretical predictions were presented graphically with the mass-transfer liquid flow rate and inlet CO2 concentration as parameters.  The absorption efficiency, average Sherwood number and concentration distributions are represented graphically with absorbent flow rate, gas feed flow rate and inlet CO2 concentration in the gas feed as parameters.

中文摘要	                                                Ⅰ
英文摘要	                                                Ⅱ
符號說明                                                Ⅲ
目錄                                                   Ⅵ
圖目錄                                                 Ⅷ
表目錄                                                 XI
第一章 緒論                                              1
1-1簡介                                                 1
1-1.1 薄膜分離                                           1   
1-1.2薄膜氣體吸收                                        3
 1-1.3醇胺的種類與特性於二氧化碳吸收                       4
1-1.4格拉茲問題                                          7
1-2 研究動機、目的與方向                                  8
第二章 文獻回顧	                                       10
第三章 平板型順流式氣-液薄膜接觸器                        13
3-1 基本理論	                                       13
3-2 平均濃度與質傳係數                                   22
3-3 吸收速率與吸收效率	                               23
3-4 計算範例、結果與討論	                               23
第四章 平板型逆流式氣-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	                               38
第五章 薄膜吸收實驗	                               46
5-1 實驗裝置與藥品	                               46
5-2 實驗流程	                                       51
5-2.1順流吸收實驗                                       51
5-2.2逆流吸收實驗                                       52
5-3 結果與討論                                          52
第六章 結論                                             67
參考文獻	                                               70
附錄A 正交性質證明	                               77
A-1 平板系統正交性質                                     77
附錄B 積分公式證明	                               83
B-1 平板系統積分公式	                               83
附錄C 展開係數求解過程	                               87
C-1 平板系統展開係數	                               87
附錄D 平均濃度	                                       97
D-1 平板系統平均濃度	                               97

圖  目  錄

圖3.1平板型順流式氣-液薄膜吸收器	                       14
圖3.2平板型吸收模組順流操作於接觸器內不同位置之濃度分佈  (Qa = 6.67 cm3/s，Qb = 5 cm3/s)	                       27
圖3.3平板型吸收模組順流操作之平均謝塢數與液相平均流速關係    28	                     
圖3.4平板型順流式吸收模組不同氣體濃度下， 與吸收效率之關係   29 	
圖3.5平板型吸收模組不同 下， 與吸收效率之關係	       30
圖4.1平板型順逆流式氣-液薄膜吸收器	                       32
圖4.2平板型吸收模組逆流操作於接觸器內不同位置之濃度分佈  (Qa = 6.67 cm3/s，Qb = 5 cm3/s)	                       42
圖4.3平板型吸收模組順-逆流操作之平均謝塢數與液相平均流速關係 43                 
圖4.4平板型逆流式吸收模組不同氣體濃度下， 與吸收效率之關係   44
圖4.5平板型吸收模組不同Qa下， 與吸收效率之關係順逆流比較圖   45
圖5-1.1模組壓克力頂版                                    46
圖5-1.2氣體質量控制器                                    48
圖5-1.3氣相層析儀	                                       49
圖5-1.4平板模組絕熱棉包覆圖	                       49
圖5-1.5恆溫水槽	                                       50
圖5-1.6氣相層析儀氣密針	                               50
圖5-2.1順流平板型二氧化碳吸收器                           55
圖5-2.1逆流平板型二氧化碳吸收器	                       56
圖5.3平板實驗二氧化碳吸收系統實際設備圖	               57
圖5.4平板二氧化碳吸收實驗系統模組	                       57
圖5.5平板吸收模組順流系統中理論與實驗於不同Qb，Qb與出口濃度之關係(Qa = 5 cm3/s)	                                       58
圖5.6平板吸收模組順流系統中，理論與實驗之二氧化碳吸收速率與液相流率之關係(Qa = 5 cm3/s)	                               59
圖5.7平板吸收模組順流系統中理論與實驗於不同vb，vb與吸收通量之關係(Qa = 5 cm3/s)	                                       60
圖5.8平板吸收模組順流系統中理論與實驗於不同Qb，Qb與吸收效率之關係。(Qa = 5 cm3/s)	                               61
圖5.9 平板吸收模組逆流系統中理論與實驗於不同Qb，Qb與出口濃度之關係(Qa = 5 cm3/s)	                               62
圖5.10平板吸收模組逆流系統中，理論與實驗之二氧化碳吸收速率與液相流率之關係(Qa = 5 cm3/s)                                63
圖5.7平板吸收模組逆流系統中理論與實驗於不同vb，vb與吸收通量之關係(Qa = 5 cm3/s)	                                       64
圖5.8平板吸收模組逆流系統中理論與實驗於不同Qb，Qb與吸收效率之關係。(Qa = 5 cm3/s)	                               65
圖6.1平板型氣體吸收薄膜氣-液接觸器內，氣體溶質於氣、液兩相中的無因次濃度分佈求解流程圖	                               68
 
表  目  錄

表1-1常見的現象方程式	                                2
表1-2常用的醇胺	                                        5
表1-3 參合醇胺之研究文獻	                                6
表3-1平板型順流式薄膜吸收特徵質對平均出口濃度之比較值	       26
表4-1平板型逆流式薄膜吸收特徵質對平均出口濃度之比較值       41表5.1  PTFE/PP 複合膜之薄膜性質	                       47
表5.2  實驗值與理論值之平均誤差	                       66

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