Reduced models of chemical reaction in chaotic flows

Vikhansky, A.; Cox, Stephen M.

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.

Citation

Vikhansky, A., & Cox, S. M. (2006). Reduced models of chemical reaction in chaotic flows. Physics of Fluids, 18(3), https://doi.org/10.1063/1.2182373

• Journal Article Type: Article
• Publication Date: Jan 1, 2006
• Deposit Date: Mar 26, 2010
• Publicly Available Date: Mar 26, 2010
• Journal: Physics of Fluids
• Print ISSN: 1070-6631
• Electronic ISSN: 1070-6631
• Publisher: American Institute of Physics
• Peer Reviewed: Peer Reviewed
• Volume: 18
• Issue: 3
• DOI: https://doi.org/10.1063/1.2182373
• Public URL: https://nottingham-repository.worktribe.com/output/1019714
• Publisher URL: http://pof.aip.org/phfle6/v18/i3/p037102_s1