本論文主要的目的在於利用商業套裝軟體CFD-RC建立一三維的質子交換膜蛇形燃料電池模型，並計算出燃料電池的各個現象，如電流密度、液態水的分佈、氧氣的分佈，進出口壓力降變化等等，之後再利用CFD-RC的計算結果當作正算值，並配合Fortran程式，撰寫以編號1(參照圖2-1)之流道尾端中央上方電流為目標函數的拉凡格式法反算程式，再加以配合以雲型線(B-Spline)來控制流道高度，並將2、3號之流道形狀設計成與流道1之形狀相同，進而達到最佳化蛇形燃料電池流道設計的目的。
吾人在本篇論文中分別對距離流道出口(A)20mm處開始控制及(B)40mm處開始控制兩個範例做不同的討論，而吾人對這兩個範例所要求的增加電流量，分別為正上方電流增加(A)17%(B)15%。
最後探討不同流道形狀的性能比較，如電流分佈、液態水氾濫、氧氣分佈、壓力降變化等問題，並以case A之流道實際加工，測試其與原始流道的性能比。結果顯示，在模擬中，經過設計的流道，可有效改善液態水，氧氣分佈等問題，進而改善電池性能，但亦存在將會造成更大的進出口壓降之問題;而在實驗的部份，結果亦可顯示出，設計過後的流道，其效能將會比原始流道之效能來得更佳。

In this thesis, the computational fluid dynamics software CFD-RC is used to establish a three-dimensional numerical model of the serpentine proton exchange membrane fuel cell (PEMFC). The technique of Inverse Design Problem for optimizing the shape of gas channel for serpentine flow arrangement at cathode side in a PEMFC from the desired current densities near outlet of channel at cathode is presented in this work. An inverse problem, based on the Levenberg-Marquardt Method and the geometry of the gas channel for serpentine flow arrangement is generated using B-spline curve method which enables the shape of the fuel channel to be completely specified using only a small number of control points. The technique of parameter estimation for inverse design problem is thus chosen.
Two different design cases are considered in the present thesis, the redesign channel length equals to 20 and 40 mm when counting from outlet for cases A and B, respectively. The design criterions are that the current density on the upper CP surface of the redesign channel is required to increase 17 % and 15 % of the original current density, respectively.
Finally, an experiment is conducted based on the designed gas channels of case A and the performance is evaluated. Results show that by utilizing the designed optimal gas channel, the current of PEMFC can be increased, and at the same time the phenomena for liquid water accumulation in the channel can be greatly reduced.

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