本研究主要是探討以中空纖維管模組應用在薄膜氣體吸收系統之解析解與實驗之驗證。針對中空纖維管薄膜模組的部份，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，針對中空纖維管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、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 two-dimensional mathematical formulation was developed in a hollow fiber gas–liquid membrane contactor with gas and liquid flow rates regulated independently.  Physical absorption of carbon dioxide by amine was carried out and illustrated to validate the theoretical predictions.  The resultant partial differential equations, as referred to conjugated Graetz problems, were solved analytically using the separated variable method associated with an orthogonal expansion technique. The absorption efficiency was studied with the absorbent flow rate, gas feed flow rate and CO2 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 match.  The influences of operating and design parameters on the absorption efficiency and total absorption rate are also discussed.

目錄
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 簡介	1
1.1.1薄膜氣體吸收	1
1.1.2醇胺的種類及特性於二氧化碳吸收	2
1.1.3格拉茲問題(Graetz problems)	4
1.2 研究動機與方向	4
第二章文獻回顧	6
2.1 文獻回顧	6
2.2格拉茲問題(Graetz problems)	8
第三章中空纖維管順流式氣-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	21
3.3 吸收速率與吸收效率	22
3.4 計算範例、結果與討論	22
第四章中空纖維管逆流式氣-液薄膜接觸器	28
4-1 基本理論	28
4-2 平均濃度與質傳係數	34
4-3 吸收速率與吸收效率	34
4-4計算範例、結果與討論	35
第五章實驗分析	40
5.1中空纖維管薄膜吸收系統	40
5.2 中空纖維管薄膜吸收模組	44
5.2.1藥品	44
5.3 實驗步驟	46
5.3.1 薄膜順流吸收實驗	46
5.3.2 薄膜逆流吸收實驗	47
5.3.3中空纖維管薄膜清洗	47
5.3.4中空纖維管改質[57]	47
5.4 結果與討論	48
第六章結　論	58
參考文獻	59
附錄A：正交性質證明	66
附錄B：積分公式證明	69
B.1中空纖維模組順流系統積分公式	70
B.2中空纖維模組逆流系統積分公式	73
附錄C：展開係數求解過程	75
C.1 中空纖維模組順流展開系數	81
C.2中空纖維模組逆流展開係數	84
附錄D：平均濃度	87
D.1中空纖維模組順流系統平均濃度	88
D.2中空纖維模組逆流系統平均濃度	89
	
	 
圖目錄
圖3.1中空纖維管模組順流式氣-液薄膜吸收器。	24
圖3.2中空纖維管模組順流系統中，理論之吸收效率與液相流率之關係。 ( Qa = 3.33 cm3/s，n=7 )	25
圖3.3中空纖維管模組順流系統中，理論之吸收效率與液相流率之關係。 ( Qa = 3.33 cm3/s，n=19 )	26
圖4.1中空纖維管模組順流式氣-液薄膜吸收器。	36
圖4.2中空纖維管模組逆流系統中，理論之吸收效率與液相流率之關係。 ( Qa= 3.33 cm3/s，n=7 )	37
圖4.3中空纖維管模組逆流系統中，理論之吸收效率與液相流率之關係。 ( Qa= 3.33 cm3/s，n=19 )	38
圖5.1順流中空纖維管薄膜吸收系統簡圖	41
圖5.2逆流中空纖維管薄膜吸收系統簡圖	41
圖5.3中空纖維管模組順流系統中，理論與實驗之氣相平均濃度與液相流率之關係(n=7)。	50
圖5.4中空纖維管模組逆流系統中，理論與實驗之氣相平均濃度與液相流率之關係(n=7)。	50
圖5.5中空纖維管模組順流系統中，理論與實驗之二氧化碳吸收速率與液相流率之關係。( Qa = 3.33 cm3/s, n=7 )	51
圖5.6中空纖維管模組逆流系統中，理論與實驗之二氧化碳吸收速率與液相流率之關係。( Qa= 3.33 cm3/s, n=7 )	51
圖5.7中空纖維管模組順流系統中，理論與實驗之二氧化碳吸收速率與液相流率之關係。( Qa= 3.33 cm3/s, n=19 )	52
圖5.8中空纖維管模組逆流系統中，理論與實驗之二氧化碳吸收速率與液相流率之關係。( Qa= 3.33 cm3/s, n=19 )	52
圖5.9中空纖維管模組順流系統中，理論與實驗之二氧化碳薄膜通量與液相流率之關係。( Qa= 3.33 cm3/s, n=7 )	53
圖5.10中空纖維管模組逆流系統中，理論與實驗之二氧化碳薄膜通量與液相流率之關係。( Qa= 3.33 cm3/s, n=7 )	53
圖5.11中空纖維管模組順流系統中，理論與實驗之二氧化碳薄膜通量與液相流率之關係。( Qa= 3.33 cm3/s, n=19 )	54
圖5.12中空纖維管模組逆流系統中，理論與實驗之二氧化碳薄膜通量與液相流率之關係。( Qa= 3.33 cm3/s, n=19 )	54
圖5.13中空纖維管模組順流系統中，理論與實驗之吸收效率與液相流率之關係。( Qa= 3.33 cm3/s, n=7 )	55
圖5.14中空纖維管模組逆流系統中，理論與實驗之吸收效率與液相流率之關係。( Qa= 3.33 cm3/s, n=7 )	55
圖5.15中空纖維管模組順流系統中，理論與實驗之吸收效率與液相流率之關係。( Qa= 3.33 cm3/s, n=19 )	56
圖5.16中空纖維管模組逆流系統中，理論與實驗之吸收效率與液相流率之關係。( Qa = 3.33 cm3/s, n=19 )	56
 
表目錄
表3.1 實驗參數。	23
表3.2中空纖維管順流式薄膜接觸器特徵值數目對無因次平均出口濃度之比較。	27
表4.1 中空纖維管逆流式薄膜接觸器特徵值數目對無因次平均出口濃度之比較。	39
表5.1 實驗值與理論值之平均誤差(n=7)	57
表5.2 實驗值與理論值之平均誤差(n=19)	57

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