Reduced models of chemical reaction in chaotic flows
We describe and evaluate two reduced models for nonlinear chemical reactions in a chaotic laminar flow. Each model involves two separate steps to compute the chemical composition at a given location and time. The “manifold tracking model” first tracks backwards in time a segment of the stable manifo...
| Main Authors: | , |
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| Format: | Article |
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American Institute of Physics
2006
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| Online Access: | https://eprints.nottingham.ac.uk/1262/ |
| _version_ | 1848790572487147520 |
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| author | Vikhansky, A. Cox, Stephen M. |
| author_facet | Vikhansky, A. Cox, Stephen M. |
| author_sort | Vikhansky, A. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | We describe and evaluate two reduced models for nonlinear chemical reactions in a chaotic laminar flow. Each model involves two separate steps to compute the chemical composition at a given location and time. The “manifold tracking model” first tracks backwards in time a segment of the stable manifold of the requisite point. This then provides a sample of the initial conditions appropriate for the second step, which requires solving one-dimensional problems for the reaction in Lagrangian coordinates. By contrast, the first step of the “branching trajectories model” simulates both the advection and diffusion of fluid particles that terminate at the appropriate point; the
chemical reaction equations are then solved along each of the branched trajectories in a second step. Results from each model are compared with full numerical simulations of the reaction processes in a chaotic laminar flow. |
| first_indexed | 2025-11-14T18:14:45Z |
| format | Article |
| id | nottingham-1262 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T18:14:45Z |
| publishDate | 2006 |
| publisher | American Institute of Physics |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-12622020-05-04T20:30:22Z https://eprints.nottingham.ac.uk/1262/ Reduced models of chemical reaction in chaotic flows Vikhansky, A. Cox, Stephen M. We describe and evaluate two reduced models for nonlinear chemical reactions in a chaotic laminar flow. Each model involves two separate steps to compute the chemical composition at a given location and time. The “manifold tracking model” first tracks backwards in time a segment of the stable manifold of the requisite point. This then provides a sample of the initial conditions appropriate for the second step, which requires solving one-dimensional problems for the reaction in Lagrangian coordinates. By contrast, the first step of the “branching trajectories model” simulates both the advection and diffusion of fluid particles that terminate at the appropriate point; the chemical reaction equations are then solved along each of the branched trajectories in a second step. Results from each model are compared with full numerical simulations of the reaction processes in a chaotic laminar flow. American Institute of Physics 2006 Article PeerReviewed Vikhansky, A. and Cox, Stephen M. (2006) Reduced models of chemical reaction in chaotic flows. Physics of Fluids, 18 (3). 037102-1-037102-6. ISSN 1070-6631 http://pof.aip.org/phfle6/v18/i3/p037102_s1 doi:10.1063/1.2182373 doi:10.1063/1.2182373 |
| spellingShingle | Vikhansky, A. Cox, Stephen M. Reduced models of chemical reaction in chaotic flows |
| title | Reduced models of chemical reaction in chaotic flows |
| title_full | Reduced models of chemical reaction in chaotic flows |
| title_fullStr | Reduced models of chemical reaction in chaotic flows |
| title_full_unstemmed | Reduced models of chemical reaction in chaotic flows |
| title_short | Reduced models of chemical reaction in chaotic flows |
| title_sort | reduced models of chemical reaction in chaotic flows |
| url | https://eprints.nottingham.ac.uk/1262/ https://eprints.nottingham.ac.uk/1262/ https://eprints.nottingham.ac.uk/1262/ |