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Conditional moment closure for chemical reactions in laminar chaotic flows

Vikhansky, A.; Cox, Stephen M.

Authors

A. Vikhansky

Stephen M. Cox stephen.cox@nottingham.ac.uk



Abstract

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/

Citation

Vikhansky, A., & Cox, S. M. (2007). Conditional moment closure for chemical reactions in laminar chaotic flows. AIChE Journal, 53(1),

Journal Article Type Article
Publication Date Jan 1, 2007
Deposit Date May 10, 2007
Publicly Available Date Oct 9, 2007
Journal AIChE Journal
Print ISSN 0001-1541
Publisher Wiley
Peer Reviewed Peer Reviewed
Volume 53
Issue 1
Keywords conditional moment closure, chaotic advection, sine flow, competitive-consecutive reaction
Public URL http://eprints.nottingham.ac.uk/id/eprint/498
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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