One-dimensional chaotic laminar flow with competitive exothermic and endothermic reactions

Simon Watt; ZheJun Huang; Harvinder Sidhu; Andy McIntosh; John Brindley

doi:10.21914/anziamj.v62.14212

Authors

Simon Watt UNSW Canberra https://orcid.org/0000-0003-4006-9523
ZheJun Huang UNSW Canberra https://orcid.org/0000-0002-3406-2942
Harvinder Sidhu UNSW Canberra https://orcid.org/0000-0003-3282-7195
Andy McIntosh University of Leeds https://orcid.org/0000-0002-1297-1344
John Brindley University of Leeds https://orcid.org/0000-0001-5113-4023

DOI:

https://doi.org/10.21914/anziamj.v62.14212

Keywords:

chaotic advection, reacting flows, competitive reaction

Abstract

We consider the numerical solution of competitive exothermic and endothermic reactions in the presence of a chaotic advection flow. The resulting behaviour is characterized by a strong dependence on the competitive reaction history. The burnt temperature is not immediately connected to simple enthalpy calculations, so there is a subtlety in the interplay between the major parameters, notably the Damköhler number, the ratio of the heats of exothermic and endothermic reactions, as well as the ratio of their respective activation energies. This paper seeks to explore the way these parameters affect the steady states of these reaction fronts and their stability.

doi:10.1017/S144618112000005X

Author Biographies

Simon Watt, UNSW Canberra

Research Associate, School of Science, UNSW Canberra, Canberra 2600, ACT, Australia

ZheJun Huang, UNSW Canberra

Research Associate, School of Science, UNSW Canberra, Canberra 2600, ACT, Australia

Harvinder Sidhu, UNSW Canberra

Professor, School of Science, UNSW Canberra, Canberra 2600, ACT, Australia

Andy McIntosh, University of Leeds

Emeritus Professor, School of Chemical and Process Engineering, University of Leeds, Leeds, LS2 9JT, UK

John Brindley, University of Leeds

Emeritus Professor, Department of Mathematics, University of Leeds, Leeds, LS2 9JT, UK