Chaotic advection in a Stokes flow

Journal Article · Sat Nov 01 04:00:00 EST 1986 · Phys. Fluids; (United States)

DOI:https://doi.org/10.1063/1.865828· OSTI ID:5146288

Aref, H; Balachandar, S

Chaotic advection can be produced whenever the kinematic equations of motion for passively advected particles give rise to a nonintegrable dynamical system. Although this interpretation of the phenomenon immediately shows that it is possible for flows at any value of Reynolds number, the notion of stochastic particle motion within laminar flows runs counter to common intuition to such a degree that the range of applicability of early model results has been questioned. To dispel lingering doubts of this type a study of advection in a two-dimensional Stokes flow slowly modulated in time is presented. Even for this very low Reynolds number, manifestly ''laminar'' flow chaotic particle motion is readily realizable. Standard diagnostics of chaos are computed for various methods of time modulation. Relations to the general ideas of parametric resonance and adiabatic invariance are pointed out.

• Research Organization: Department of Applied Mechanics and Engineering Science and Institute of Geophysics and Planetary Physics, University of California, San Diego, La Jolla, California 92093
• OSTI ID: 5146288
• Journal Information: Phys. Fluids; (United States), Journal Name: Phys. Fluids; (United States) Vol. 29:11; ISSN PFLDA
• Country of Publication: United States
• Language: English

Related Subjects

640410* -- Fluid Physics-- General Fluid Dynamics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ADVECTION
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
FLUID FLOW
FLUIDS
INSTABILITY
LAMINAR FLOW
MASS TRANSFER
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLES
REYNOLDS NUMBER
STIRRING
STOKES LAW