Power spectrum of passive scalars in two dimensional chaotic flows

Journal Article · Wed Mar 01 00:00:00 EST 2000 · Chaos (Woodbury, N. Y.)

DOI:https://doi.org/10.1063/1.166474· OSTI ID:20215584

Yuan, Guo-Cheng ^[1]; Nam, Keeyeol ^[2]; Antonsen, Jr, Thomas M ^[2]; Ott, Edward ^[2]; Guzdar, Parvez N ^[3]

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1. Department of Mathematics and Institute for Physical Science and Technology, University of Maryland, College Park, Maryland 20742 (United States)
2. Department of Physics and Institute for Plasma Research, University of Maryland, College Park, Maryland 20742 (United States)
3. Institute for Plasma Research, University of Maryland, College Park, Maryland 20742 (United States)

In this paper the power spectrum of passive scalars transported in two dimensional chaotic fluid flows is studied theoretically. Using a wave-packet method introduced by Antonsen et al., several model flows are investigated, and the fact that the power spectrum has the k{sup -1}-scaling predicted by Batchelor is confirmed. It is also observed that increased intermittency of the stretching tends to make the roll-off of the power spectrum at the high k end of the k{sup -1} scaling range more gradual. These results are discussed in light of recent experiments where a k{sup -1} scaling range was not observed. (c) 2000 American Institute of Physics.

• OSTI ID: 20215584
• Journal Information: Chaos (Woodbury, N. Y.), Vol. 10, Issue 1; Other Information: PBD: Mar 2000; ISSN 1054-1500
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
TURBULENT FLOW
DIFFUSION
TRANSPORT THEORY
SCALING LAWS
ENERGY SPECTRA
THEORETICAL DATA