• 作者： Yao, Ching-Yih; Cheng, Cheng-Hung; Yen, Shi-Chern
• 中文摘要： 本文提出一數學模式以探討一圓柱體在外加電場下之雙極性行為。此模式亦同時考慮在固相和電解液相的電傳導阻力。對於可逆反應和線性極化動力學之電流分布和電位分布可得解析解,而對於Butler-Volmer動力學之電流分布和電位分布,利用邊界配置法可得半解析解。各種影響系統的參數,包括無因次電位降,.psi.,電解液相與固相之電傳導係數之比值,.alpha.,交換電流密度與外加電流之比值,.beta.,亦分別地討論其影響。線性極化動力學之電流增強係數可理論上求得,而 Butler-Volmer動力學之電流增強係數則可利用數值法得之。Butler-Volmer動力學所得之結果可與線性極化動力學所得之結果比較,判斷線性極化動力學的適用性。
• 英文摘要： A mathematical model is proposed in this study for the bipolar behavior of a cylindrical rod in an applied electrical field. The resistances of electric conduction in both the solid and electrolyte phases are also considered. Analytical current and potential distributions for a reversible reaction and linear polarized kinetics are obtained, and semi-analytical potential and current distributions for the Butler-Volmer kinetics are also obtained by the boundary collocation method. The influences of various parameters, including dimensionless potential drop, .psi., conductivity ratio of electrolyte to solid phase, .alpha., and ratio of exchange current density to applied current, .beta., have been discussed. The current enhancement factor is predicted theoretically for linear kinetics and numerically for the Butler-Volmer kinetics. The results of assuming linear polarized kinetics are compared with those from the Butler-Volmer kinetics.
• 中文關鍵字： 雙極效應; 電流分布; 電位分布; 數學模式; 動力學
• 英文關鍵字： Bipolar Effect; Current Distribution; Potential Distribution; Mathematical Model; Kinetics