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ONE-DIMENSIONAL CHAOTIC LAMINAR FLOW WITH COMPETITIVE EXOTHERMIC AND ENDOTHERMIC REACTIONS

Part of: Diffusion and convection

Published online by Cambridge University Press:  15 April 2020

S. D. WATT Open the ORCID record for S. D. WATT [Opens in a new window] ,
Z. HUANG Open the ORCID record for Z. HUANG [Opens in a new window] ,
H. S. SIDHU Open the ORCID record for H. S. SIDHU [Opens in a new window] ,
A. C. MCINTOSH Open the ORCID record for A. C. MCINTOSH [Opens in a new window]  and
J. BRINDLEY Open the ORCID record for J. BRINDLEY [Opens in a new window]
S. D. WATT*
Affiliation:
School of Science, UNSW Canberra, Canberra2600, ACT, Australia; e-mail: simon.watt@adfa.edu.au, victor7hzj@sina.com, h.sidhu@adfa.edu.au
Z. HUANG
Affiliation:
School of Science, UNSW Canberra, Canberra2600, ACT, Australia; e-mail: simon.watt@adfa.edu.au, victor7hzj@sina.com, h.sidhu@adfa.edu.au
H. S. SIDHU
Affiliation:
School of Science, UNSW Canberra, Canberra2600, ACT, Australia; e-mail: simon.watt@adfa.edu.au, victor7hzj@sina.com, h.sidhu@adfa.edu.au
A. C. MCINTOSH
Affiliation:
School of Chemical and Process Engineering, University of Leeds, Leeds, LS2 9JT, UK; e-mail: andy.c.mcintosh@gmail.com
J. BRINDLEY
Affiliation:
Department of Mathematics, University of Leeds, Leeds, LS2 9JT, UK; e-mail: j.brindley@leeds.ac.uk
*
E-mail: simon.watt@adfa.edu.au
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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.

Keywords

chaotic advectionreacting flowscompetitive reactions

MSC classification

Primary: 76R50: Diffusion
Type
Research Article
Information
The ANZIAM Journal , Volume 62 , Issue 4 , October 2020 , pp. 423 - 445
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Copyright
© 2020 Australian Mathematical Society

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