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題名 | The Capacity of Multiple Steady States in Homogeneous Isothermal CSTRs=均相恆溫之連續流動攪拌反應槽內的多重穩定狀態 |
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作者姓名(中文) | 李星迓; | 書刊名 | Journal of the Chinese Institute of Chemical Engineers |
卷期 | 28:5 1997.09[民86.09] |
頁次 | 頁341-349 |
分類號 | 460.023 |
關鍵詞 | 連續流動攪拌反應槽; 多重穩定狀態; 化學反應網路; Reaction network; Multiple stead states; Stability; |
語文 | 英文(English) |
中文摘要 | 應用缺陷度一演算法( deficiency one algorithm ), 物種-複合體-連結圖 法( species-complex-linkage graph theory )及子網路引理( subnetwork corollary )來判定, 連續流動攪拌反應槽( CSTR )內均相( homogeneous )恆溫之森林狀( forest-like )的化學反應網路( chemical reaction network ), 可發生多重穩定狀態 ( multiple steady states )的現象。當化學反應網路具有多重穩定狀態之子網路時,子 網路引理可有效地判定原化學反應網路發生多重穩定狀態的可能性。例中計算了化學反應速 率常數及相對應的兩個穩定狀態,並以數值方法決定其安定性( stability )。 |
英文摘要 | The aim of this article is to determine the capacity of multiple positive steady states in several forest-like reaction networks, which involve complex isothermal homogeneous (mass action) reactions in continuous flow stirred tank reactors (CSTRs). Analysis is based on the deficiency one algorithm, the species-complex-linkage (SCL) graph theory and the subnetwork corollary. The subnetwork corollary is an efficient tool in the determination of multiple positive steady states in a complex reaction network which contains a subnetwork admitting steady-state multiplicity. A set of rate constants and two corresponding positive steady states are constructed for each example. The stability of steady states is valued numerically. |
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