Transport, mixing and stretching in a chaotic Stokes flow: The two-roll mill

Conference · Sun Jan 01 04:00:00 EST 1989

OSTI ID:6513434

Kaper, T J; Wiggins, S ^[1]

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1. California Inst. of Tech., Pasadena, CA (USA)

We present the outline and preliminary results of an analytical and numerical study of transport, mixing, and stretching in a chaotic Stokes' flow in a two-roll mill apparatus. We use the theory of dynamical systems to describe the rich behavior and structure exhibited by these flows. The main features are the homoclinic tangle which functions as the backbone of the chaotic mixing region, the Smale horseshoe, and the island chains. We then use our detailed knowledge of these structures to develop a theory of transport and stretching of fluid in the chaotic regime. In particular, we show how a specific set of tools for adiabatic chaos- the adiabatic Melnikov function lobe area and flux computations and the adiabatic switching method is ideally suited to develop this theory of transport, mixing and stretching in time-dependent two-dimensional Stokes' flows. 19 refs., 8 figs.

• Research Organization: Los Alamos National Lab., NM (USA)
• Sponsoring Organization: DOE/AD
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 6513434
• Report Number(s): LA-UR-90-2638; CONF-890794--2; ON: DE90016718
• Country of Publication: United States
• Language: English

Related Subjects

640410* -- Fluid Physics-- General Fluid Dynamics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ADIABATIC PROCESSES
BOUNDARY CONDITIONS
DYNAMICS
EFFICIENCY
FLUID MECHANICS
FUNCTIONS
GEOMETRY
HAMILTONIAN FUNCTION
LIE GROUPS
MATHEMATICS
MECHANICS
MIXING
NONLINEAR PROBLEMS
POINCARE GROUPS
STEADY-STATE CONDITIONS
STOKES LAW
SYMMETRY GROUPS
TWO-DIMENSIONAL CALCULATIONS