Conditional moment closure for chemical reactions in laminar chaotic flows

Vikhansky, A. and Cox, Stephen M. (2007) Conditional moment closure for chemical reactions in laminar chaotic flows. AIChE Journal, 53 (1). pp. 19-27.

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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/

Item Type: Article
Uncontrolled Keywords: conditional moment closure, chaotic advection, sine flow, competitive-consecutive reaction
Schools/Departments: University of Nottingham UK Campus > Faculty of Science > School of Mathematical Sciences
Depositing User: Cox, Stephen
Date Deposited: 10 May 2007
Last Modified: 23 Jun 2011 07:08
URI: http://eprints.nottingham.ac.uk/id/eprint/498

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