Are continuum predictions of clustering chaotic?

Fullmer, William D.; Hrenya, Christine M.

doi:10.1063/1.4977513

Title: Are continuum predictions of clustering chaotic?

Journal Article · Wed Mar 01 00:00:00 EST 2017 · Chaos: An Interdisciplinary Journal of Nonlinear Science

DOI:https://doi.org/10.1063/1.4977513· OSTI ID:1465353

^[1]; Hrenya, Christine M. ^[1]

Univ. of Colorado, Boulder, CO (United States). Dept. of Chemical and Biological Engineering

Gas-solid multiphase flows are prone to develop an instability known as clustering. Two-fluid models, which treat the particulate phase as a continuum, are known to reproduce the qualitative features of this instability, producing highly-dynamic, spatiotemporal patterns. However, it is unknown whether such simulations are truly aperiodic or a type of complex periodic behavior. By showing that the system possesses a sensitive dependence on initial conditions and a positive largest Lyapunov exponent, λ₁ ≈ 1/τ, we provide a tentative answer: continuum predictions of clustering are chaotic. We further demonstrate that the chaotic behavior is dimensionally dependent, a conclusion which unifies previous results and strongly suggests that the chaotic behavior is not a direct consequence of the fundamental kinematic instability, but requires a secondary (inherently multidimensional) instability.

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Research Organization:: Univ. of Colorado, Boulder, CO (United States)

Sponsoring Organization:: USDOE Office of Fossil Energy (FE); USDOE

Grant/Contract Number:: FE0026298

OSTI ID:: 1465353

Alternate ID(s):: OSTI ID: 1349369; OSTI ID: 1832978

Journal Information:: Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 27, Issue 3; ISSN 1054-1500

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 7 works

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Chaos in wavy-stratified fluid-fluid flow Vaidheeswaran, Avinash; Clausse, Alejandro; Fullmer, William D. Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 29, Issue 3 https://doi.org/10.1063/1.5055782	journal	March 2019
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