Frozen reaction fronts in steady flows: A burning-invariant-manifold perspective

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
John R MahoneyKevin A Mitchell

Abstract

The dynamics of fronts, such as chemical reaction fronts, propagating in two-dimensional fluid flows can be remarkably rich and varied. For time-invariant flows, the front dynamics may simplify, settling in to a steady state in which the reacted domain is static, and the front appears "frozen." Our central result is that these frozen fronts in the two-dimensional fluid are composed of segments of burning invariant manifolds, invariant manifolds of front-element dynamics in xyθ space, where θ is the front orientation. Burning invariant manifolds (BIMs) have been identified previously as important local barriers to front propagation in fluid flows. The relevance of BIMs for frozen fronts rests in their ability, under appropriate conditions, to form global barriers, separating reacted domains from nonreacted domains for all time. The second main result of this paper is an understanding of bifurcations that lead from a nonfrozen state to a frozen state, as well as bifurcations that change the topological structure of the frozen front. Although the primary results of this study apply to general fluid flows, our analysis focuses on a chain of vortices in a channel flow with an imposed wind. For this system, we present both experiment...Continue Reading

References

Jul 1, 1987·Physical Review A: General Physics·B I Shraiman
Dec 15, 1988·Physical Review A: General Physics·T H Solomon, J P Gollub
Jan 15, 1991·Physical Review. a·R Camassa, S Wiggins
Sep 23, 1996·Physical Review Letters·T H SolomonJ L Warner
Nov 3, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M AbelA Vulpiani
Jun 5, 2003·Chaos·M. AbelA. Vulpiani
Sep 26, 2003·Nature·T H Solomon, Igor Mezić
Mar 9, 2004·Proceedings. Biological Sciences·Colin A RussellLeslie A Real
Dec 31, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M S Paoletti, T H Solomon
Aug 16, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A Pocheau, F Harambat
Feb 1, 2008·Physical Review Letters·M E Schwartz, T H Solomon
Jun 4, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A Pocheau, F Harambat
Oct 2, 2012·Chaos·Dylan Bargteil, Tom Solomon
Oct 2, 2012·Chaos·Kevin A Mitchell, John R Mahoney

❮ Previous
Next ❯

Citations

Jan 1, 2018·Chaos·Jinge WangDouglas H Kelley
May 20, 2018·Physical Review. E·Minh DoanKevin A Mitchell
Apr 1, 2018·Chaos·Thomas D Nevins, Douglas H Kelley
Jul 3, 2020·Chaos·Simon A Berman, Kevin A Mitchell

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.