Reduced models of chemical reaction in chaotic flows

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

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Abstract

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.

Item Type: Article
Schools/Departments: University of Nottingham UK Campus > Faculty of Science > School of Mathematical Sciences
Depositing User: Wharton, Dr Janet
Date Deposited: 26 Mar 2010 17:52
Last Modified: 27 Jun 2011 10:17
URI: http://eprints.nottingham.ac.uk/id/eprint/1262

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