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題名 | A Mathematical Mdoel for Parallel Gas-Solid Reactions=並行性氣固反應之數學模擬 |
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作者 | 林俊一; 蔡福人; 曾憲政; |
期刊 | Journal of the Chinese Institute of Chemical Engineers |
出版日期 | 19870900 |
卷期 | 18:5 1987.09[民76.09] |
頁次 | 頁301-308 |
分類號 | 460.02 |
語文 | eng |
關鍵詞 | 並行性; 氣固反應; 數學; |
中文摘要 | 本文提出一個數學模式來模擬下述的並行性氣固反應: a₁A(g)+b₁B(g)+c₁C(g)→d₁D(g)+eE(g) a₂A(g)+b₂B(g)+c₂C(g)→d₂D(g)+fF(g) 在一般情況下我們以正交配制法去解統御方程式。某些特殊情況下,可以寫出可析解。文中探討了反應模數σ₁和σ₂,固體反應物及氣體反應物之反應次數和修正Sherwood數sh*對整體反應速率的影響。最後提出一個代數形態轉化率X[92ba]和反應時間t*的近似關係式。近似解與數值解相較之結果令人滿意。 |
英文摘要 | A mathematical model has been proposed to describe the following parallel type gas-solid reactions. a₁A(g)+b₁B(g)+c₁C(g)→d₁D(g)+eE(g) a₂A(g)+b₂B(g)+c₂C(g)→d₂D(g)+fF(g) For general cases, the governing equations were solved by the orthogonal collocation method. However, in some special cases the analytical solutions were found. The effects of the reaction moduli, σ₁ andσ₂ reaction orders with respect to solids and gaseous reactant and the modified Sherwood number Sh* on the overall reaction rate were examined. An algebraic type approximate equation relating the conversion X[92ba] and reaction time t* was proposed. The agreements between approximate solutions and numerical solutions were found to be satisfactory. |
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