Chaotic advection in compressible helical flow

Journal Article · Wed Sep 01 04:00:00 EDT 1999 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.60.2788· OSTI ID:6466067

Govorukhin, V N; Morgulis, A; Yudovich, V I ^[1]; Zaslavsky, G M ^[2]; Zaslavsky, G M ^[3]

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1. Department of Mathematics and Mechanics, Rostov State University, 5 Zorge Street, Rostov-na-Donu 344104 (Russia)
2. Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, New York 10012 (United States)
3. Department of Physics, New York University, 2-4 Washington Place, New York, New York 10003 (United States)

Compressible helical flow with div [bold v][ne]0 drastically increases the area of chaotic dynamics and mixing properties when the helicity parameter is spatially dependent. We show that the density dependence on the [ital z] coordinate can be incorporated in new variables in a way that leads to a Hamiltonian formulation of the system. This permits the application of various important results like the Kolmogorov-Arnold-Moser theory and, particularly, an understanding of why and in which sense the compressible helical flow is [open quotes]more chaotic[close quotes] than the incompressible one. Simulation demonstrates this property for an analog of the [ital ABC] flow. An interesting type of the dynamical system with [open quotes]dense[close quotes] island chains is described. [copyright] [ital 1999] [ital The American Physical Society]

• OSTI ID: 6466067
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Vol. 60:3; ISSN PLEEE8; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

661300* -- Other Aspects of Physical Science-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ADVECTION
COMPRESSIBLE FLOW
CONFIGURATION
CONVECTION
ENERGY TRANSFER
FLOW MODELS
FLUID FLOW
HEAT TRANSFER
HELICAL CONFIGURATION
MASS TRANSFER
MATHEMATICAL MODELS