Conditional moment closure for chemical reactions in laminar chaotic flows
We implement conditional moment closure (CMC) for simulation of chemical reactions in laminar chaotic flows. The CMC approach predicts the expected concentration of reactive species, conditional upon the concentration of a corresponding nonreactive scalar. Closure is obtained by neglecting the diffe...
| Main Authors: | , |
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| Format: | Article |
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AIChE
2007
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| Online Access: | https://eprints.nottingham.ac.uk/498/ |
| _version_ | 1848790420986789888 |
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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 implement conditional moment closure (CMC) for simulation of chemical reactions in laminar chaotic flows. The CMC approach predicts the expected concentration of reactive species, conditional upon the concentration of a corresponding nonreactive scalar. Closure is obtained by neglecting the difference between the local concentration of the reactive scalar and its conditional average. We first use a Monte Carlo method to calculate the evolution of the moments of a conserved scalar; we then reconstruct the corresponding probability density function and dissipation rate. Finally, the concentrations of the reactive scalars are determined. The results are compared (and show excellent agreement) with full numerical simulations of the reaction processes in a chaotic laminar flow.
This is a preprint of an article published in AlChE Journal copyright (2007) American Institute of Chemical Engineers: http://www3.interscience.wiley.com/ |
| first_indexed | 2025-11-14T18:12:20Z |
| format | Article |
| id | nottingham-498 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T18:12:20Z |
| publishDate | 2007 |
| publisher | AIChE |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-4982020-05-04T20:28:35Z https://eprints.nottingham.ac.uk/498/ Conditional moment closure for chemical reactions in laminar chaotic flows Vikhansky, A. Cox, Stephen M. We implement conditional moment closure (CMC) for simulation of chemical reactions in laminar chaotic flows. The CMC approach predicts the expected concentration of reactive species, conditional upon the concentration of a corresponding nonreactive scalar. Closure is obtained by neglecting the difference between the local concentration of the reactive scalar and its conditional average. We first use a Monte Carlo method to calculate the evolution of the moments of a conserved scalar; we then reconstruct the corresponding probability density function and dissipation rate. Finally, the concentrations of the reactive scalars are determined. The results are compared (and show excellent agreement) with full numerical simulations of the reaction processes in a chaotic laminar flow. This is a preprint of an article published in AlChE Journal copyright (2007) American Institute of Chemical Engineers: http://www3.interscience.wiley.com/ AIChE 2007-01 Article PeerReviewed Vikhansky, A. and Cox, Stephen M. (2007) Conditional moment closure for chemical reactions in laminar chaotic flows. AIChE Journal, 53 (1). pp. 19-27. conditional moment closure chaotic advection sine flow competitive-consecutive reaction |
| spellingShingle | conditional moment closure chaotic advection sine flow competitive-consecutive reaction Vikhansky, A. Cox, Stephen M. Conditional moment closure for chemical reactions in laminar chaotic flows |
| title | Conditional moment closure for chemical reactions in
laminar chaotic flows |
| title_full | Conditional moment closure for chemical reactions in
laminar chaotic flows |
| title_fullStr | Conditional moment closure for chemical reactions in
laminar chaotic flows |
| title_full_unstemmed | Conditional moment closure for chemical reactions in
laminar chaotic flows |
| title_short | Conditional moment closure for chemical reactions in
laminar chaotic flows |
| title_sort | conditional moment closure for chemical reactions in
laminar chaotic flows |
| topic | conditional moment closure chaotic advection sine flow competitive-consecutive reaction |
| url | https://eprints.nottingham.ac.uk/498/ |