• 作者： Lee, D.J.
• 中文摘要： 本研究探討應用離散時間隔室模型(DTCM)於反應流動系統中之可行性。文中以一次、二次及二分之一次反應動力式為例,討論反應物濃度可表為時間顯性函數之情形,及減少計算誤差之方法; 對反應物無法表為時間顯性函數者,由於傳統的DTCM需要數值積分,本文採用泰勒展開式近似,並進行誤差分析。由結果可知,DTCM於適當情況下可應用於反應流動系統中。本文也討論DTCM在實際使用上的限制。
• 英文摘要： The feasibility of using discrete time compartmental model (DTCM) to treat reaction flow systems with reactant concentration could or could not be represented as an explicit function of time was investigated. For the former case, first-order, second-order, and half-order reactions were used for illustrating the effects of reaction order. A method of improving calculation accuracy was proposed . For the latter case, a Taylor series expansion was employed for approximating the reactant concentration as an explicit function of time. Error analysis was conducted. Numerical examples were given. DTCM was concluded to be adequate in investigating the reaction flow systems, if the conditions were properly controlled. The limitation of practical usage was also discussed.
• 中文關鍵字： 離散時間隔室模式; 反應流動; 化學動力學; 效率; 限制
• 英文關鍵字： Discrete Time Compartmental Model; Reaction Flow; Chemical Kinetics; Efficiency; Limitation