• 作者： Lin, Chun-I; Tsay, Fwu-Ren; Tseng, Hsieng-Cheng
• 中文摘要： 本文提出一涵蓋物理及化學現象之數學模式以描述二氧化鈦--碳粉小球氯化之化學反應。根據此一模式可導出一組聯立微分方程式。當此模式用來說明實驗數據時我們引用了在化學反應控制區求得之化學反應表示式並以正交配置之數值方法解之。以參數調適法求得在顆粒小孔內初期有效擴散速率表示式為De,o=44.22exp(-5.576/(R/sub g/T)) cm/sup 2//min 我們發現理論預測與實驗結果還算相近。
• 英文摘要： A physico-chemical model has been formulated to describe the kinetics of the chlorination of titanium dioxide-carbon pellet. Based on this model, simultaneous differential equations were derived. When the model was employed to interpret the experimental data, the chemical reaction rate expression, which was determined in the chemical reaction control region, was used and the simultaneous differential equations were solved by orthogonal collocation method. The expression of initial gas diffusivity which has been left as fitting parameter to calculate theoretical predictions was determined as follows De,o=44.22exp(-5,576/(R/sub g/T)) cm/sup 2//min It was found that the reaction between chlorine, titanium dioxide and carbon can be predicted fairly well by the model.
• 中文關鍵字： 數學模式; 氯化作用; 二氧化鈦; 碳粉小球
• 英文關鍵字： Mathematical Model; Chlorination; Titanium Dioxide; Carbon Pellet