Optimal stretching in the reacting wake of a bluff body

Jinge Wang; Jeffrey Tithof; Thomas D. Nevins; Rony O. Colón; Douglas H. Kelley

doi:10.1063/1.5004649

Optimal stretching in the reacting wake of a bluff body

Jinge Wang, Jeffrey Tithof, Thomas D. Nevins, Rony O. Colón, Douglas H. Kelley

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

We experimentally study spreading of the Belousov-Zhabotinsky reaction behind a bluff body in a laminar flow. Locations of reacted regions (i.e., regions with high product concentration) correlate with a moderate range of Lagrangian stretching and that range is close to the range of optimal stretching previously observed in topologically different flows [T. D. Nevins and D. H. Kelley, Phys. Rev. Lett. 117, 164502 (2016)]. The previous work found optimal stretching in a closed, vortex dominated flow, but this article uses an open flow and only a small area of appreciable vorticity. We hypothesize that optimal stretching is common in advection-reaction-diffusion systems with an excitation threshold, including excitable and bistable systems, and that the optimal range depends on reaction chemistry and not on flow shape or characteristic speed. Our results may also give insight into plankton blooms behind islands in ocean currents.

Original language	English (US)
Article number	123109
Journal	Chaos
Volume	27
Issue number	12
DOIs	https://doi.org/10.1063/1.5004649
State	Published - Dec 1 2017
Externally published	Yes

Bibliographical note

Funding Information:
The authors gratefully acknowledge I. A. Mohammad, R. S. Russell, and B. F. Knisely for helpful comments and fabrication expertise. The Xerox Engineering Fellows Program at the University of Rochester supported R. O. Colón and partially supported J. Wang. The Discover Grant at the University of Rochester also partially supported J. Wang. T. D. Nevins was supported by the Department of Defense (DoD) through the National Defense Science & Engineering Graduate Fellowship (NDSEG) Program.

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© 2017 Author(s).

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abstract = "We experimentally study spreading of the Belousov-Zhabotinsky reaction behind a bluff body in a laminar flow. Locations of reacted regions (i.e., regions with high product concentration) correlate with a moderate range of Lagrangian stretching and that range is close to the range of optimal stretching previously observed in topologically different flows [T. D. Nevins and D. H. Kelley, Phys. Rev. Lett. 117, 164502 (2016)]. The previous work found optimal stretching in a closed, vortex dominated flow, but this article uses an open flow and only a small area of appreciable vorticity. We hypothesize that optimal stretching is common in advection-reaction-diffusion systems with an excitation threshold, including excitable and bistable systems, and that the optimal range depends on reaction chemistry and not on flow shape or characteristic speed. Our results may also give insight into plankton blooms behind islands in ocean currents.",

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N1 - Funding Information: The authors gratefully acknowledge I. A. Mohammad, R. S. Russell, and B. F. Knisely for helpful comments and fabrication expertise. The Xerox Engineering Fellows Program at the University of Rochester supported R. O. Colón and partially supported J. Wang. The Discover Grant at the University of Rochester also partially supported J. Wang. T. D. Nevins was supported by the Department of Defense (DoD) through the National Defense Science & Engineering Graduate Fellowship (NDSEG) Program. Publisher Copyright: © 2017 Author(s).

PY - 2017/12/1

Y1 - 2017/12/1

N2 - We experimentally study spreading of the Belousov-Zhabotinsky reaction behind a bluff body in a laminar flow. Locations of reacted regions (i.e., regions with high product concentration) correlate with a moderate range of Lagrangian stretching and that range is close to the range of optimal stretching previously observed in topologically different flows [T. D. Nevins and D. H. Kelley, Phys. Rev. Lett. 117, 164502 (2016)]. The previous work found optimal stretching in a closed, vortex dominated flow, but this article uses an open flow and only a small area of appreciable vorticity. We hypothesize that optimal stretching is common in advection-reaction-diffusion systems with an excitation threshold, including excitable and bistable systems, and that the optimal range depends on reaction chemistry and not on flow shape or characteristic speed. Our results may also give insight into plankton blooms behind islands in ocean currents.

AB - We experimentally study spreading of the Belousov-Zhabotinsky reaction behind a bluff body in a laminar flow. Locations of reacted regions (i.e., regions with high product concentration) correlate with a moderate range of Lagrangian stretching and that range is close to the range of optimal stretching previously observed in topologically different flows [T. D. Nevins and D. H. Kelley, Phys. Rev. Lett. 117, 164502 (2016)]. The previous work found optimal stretching in a closed, vortex dominated flow, but this article uses an open flow and only a small area of appreciable vorticity. We hypothesize that optimal stretching is common in advection-reaction-diffusion systems with an excitation threshold, including excitable and bistable systems, and that the optimal range depends on reaction chemistry and not on flow shape or characteristic speed. Our results may also give insight into plankton blooms behind islands in ocean currents.

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Optimal stretching in the reacting wake of a bluff body

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