本論文針對平板型與單塊疊層結構型(MOLB)固態氧化物燃料電池進行流場、濃度與電場的偶合分析與比較，並發展出複雜的物理數值模擬程式，比較不同幾何形狀對固態氧化物燃料電池之影響。將燃料電池之電化學原理、流體力學分別建置的數值分析程式。達西定律(Darcy’s law)控制多孔電極流動力。波茲曼(Bruggman)模型描述電極內反應物與生成物的擴散效應，巴特勒－沃爾默(Butler-Volmer)電極反應方程式來解電化學動力學和電極表面上的反應速率之關係，來分析影響電池輸出性能的相關因素。數值分析結果顯示單疊層波浪型固態氧化物燃料電池比平板型固態氧化物燃料電池具有較高的燃料/氧化劑利用率，而使得電流密度高於平板型固態氧化物燃料電池。
本論文亦探討在不同的操作條件和設計參數下，燃料在氣體流道、電解質和內部之傳輸行為，模擬氣體在流道中流動、擴散現象與壓力分布情況，並討論MOLB燃料電池的電壓與電流密度之特性，並分析影響電池輸出電壓之各參數的關係。

This dissertation is focused on the analysis and comparison in terms of fluid flow, concentration level, and electric field between planar solid oxide fuel cell (planar SOFC) and mono-block-layer-build (MOLB) type SOFC. Further, it has developed a variety of sophisticated physical value simulations model to compare the influences on SOFC by different shaped items. Among them, electrochemical and fluid dynamics principles are used to create a value analysis program for fuel cells. Darcy’s law is applied to control flow momentum in the porous electrodes. The Bruggman model is adopted to illustrate the diffusion effects of reactant species within electrodes. Butler-Volmer’s equation of electrode’s reaction is used to deal with the relation between the electrochemical kinetics and the species transport on the electrode surfaces so as to analyze the factors the lead to the performance of the fuel cell. The results reveal that the fuel/oxidant utilization rate of the MOLB-type SOFC is higher than that of the planar SOFC; therefore, the current density of the former is higher than that of the latter.
In addition, this dissertation seeks to analyze the transport status of the fuel in air flow, electrolyte as well as in its interior upon various conditions and perimeters. By simulating the air flowing in the conduits and analyzing its diffusion and pressure distribution, this dissertation can map out the voltage and current density characteristics of MOLB-type SOFC so as to analyze the relation of parameters that affect the output voltage of the SOFC.

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