Non-identical Mixing Times Leading to Complicated Dynamics of the Oregonator Model

不同混合時間導致Oregonator模型之複雜動力行為

劉忠嶬(C. I. Liu) ； 李篤中(D. J. Lee)

《Journal of the Chinese Institute of Chemical Engineers》 31卷5期 (2000/09) Pp. 523-528

https://doi.org/10.6967/JCICE.200009.0523

摘要

微觀混合模型常假設所有反應物之混合時間皆相同，然而微觀混合時間與物種之分子擴散系數成反比，因此所有反應物之混合時間不一定皆相同。本文以隨機模型討論不完全攪伴系統中不同混合時間對Oregonator模型之影響，物種之混合時間可相同或不同。由數值結果建構三維分歧圖，當物種x及y之混合時間大於物種z，或當物種y及z混合時間大於物種x時，簡單振盪會分歧成為準週期振盪，因此混合時間本身亦為主控模型動力行為之分歧變數。混合時間與反應動力之交互作用可適當地解釋模型之數值結果。

並列摘要

Micromixing models usually assume an identical mixing time for all species involved in reactions. The mixing times are, however, dependent upon the molecular diffusivities of reactive species, which in general are different for each species. We discussed in this study the effects of variable mixing times on the Oregonator model in an incompletely micromixed stirred tank. A three-dimensional bifurcation diagram is constructed on the basis on numerical simulations. Non-identical mixing times of different species provide extra bifurcation parameters of system dynamics Oregonator model.

並列關鍵字

Micromixing ； Mixing Time ； Oregonator ； Bifurcation