Bistability in inhomogeneity—Effects of flow coherent structures on the fate of a bistable reaction
We present a numerical study on the mixing process between two stable states of a chemical reaction model. The two stable states of the reactions are found in practice not to coexist, and a single stable state of homogeneous scalar concentration is achieved over long time. With all other parameters...
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| Published in | Physics of fluids (1994) Vol. 27; no. 7 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Melville
American Institute of Physics
01.07.2015
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| Abstract | We present a numerical study on the mixing process between two stable states of a chemical reaction model. The two stable states of the reactions are found in practice not to coexist, and a single stable state of homogeneous scalar concentration is achieved over long time. With all other parameters fixed, we find the dependence of the final state on the rate of reaction. Interestingly, with the existence of coherent structures, at a range of intermediate rate of reaction, we find that the final state also depends on the initial locations of the scalar impurity. The exact dependence on initial condition is explored in detail. These results lead to the fundamental understanding on the variability of biogeochemical tracers in the environment induced by nonlinear fluid stirring. |
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| AbstractList | We present a numerical study on the mixing process between two stable states of a chemical reaction model. The two stable states of the reactions are found in practice not to coexist, and a single stable state of homogeneous scalar concentration is achieved over long time. With all other parameters fixed, we find the dependence of the final state on the rate of reaction. Interestingly, with the existence of coherent structures, at a range of intermediate rate of reaction, we find that the final state also depends on the initial locations of the scalar impurity. The exact dependence on initial condition is explored in detail. These results lead to the fundamental understanding on the variability of biogeochemical tracers in the environment induced by nonlinear fluid stirring. |
| Author | Tang, Wenbo Dhumuntarao, Aditya |
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| CitedBy_id | crossref_primary_10_1103_PhysRevLett_117_164502 crossref_primary_10_1063_1_5004649 |
| Cites_doi | 10.1126/science.1219417 10.1016/j.physd.2012.06.012 10.1175/1520-0469(1993)050%3C2462:GCMOIS%3E2.0.CO;2 10.1017/S0022112001004499 10.1016/S0167-2789(00)00199-8 10.1063/1.4746764 10.1017/S0022112084001233 10.1016/j.physrep.2005.01.005 10.1063/1.4914467 10.1063/1.4746039 10.1146/annurev.fluid.37.061903.175815 10.1063/1.1476949 10.1016/j.apm.2012.02.012 10.1063/1.4823991 |
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| Snippet | We present a numerical study on the mixing process between two stable states of a chemical reaction model. The two stable states of the reactions are found in... |
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| SubjectTerms | Bistability Chemical reactions Dependence Fluid dynamics Inhomogeneity Mathematical models Organic chemistry Physics Tracers |
| Title | Bistability in inhomogeneity—Effects of flow coherent structures on the fate of a bistable reaction |
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