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Stirring by chaotic advection
- H. Aref
- PhysicsJournal of Fluid Mechanics
- 1 June 1984
In the Lagrangian representation, the problem of advection of a passive marker particle by a prescribed flow defines a dynamical system. For two-dimensional incompressible flow this system is…
Motion of three vortices
- H. Aref
- Physics
- 1 March 1979
A qualitative analysis of the motion of three point vortices with arbitrary strengths is given. This simplifies and extends recent work by Novikov on the motion of three identical vortices. Using a…
Topological fluid mechanics of stirring
- P. Boyland, H. Aref, M. Stremler
- MathematicsJournal of Fluid Mechanics
- 25 January 2000
A new approach to regular and chaotic fluid advection is presented that utilizes the Thurston–Nielsen classification theorem. The prototypical two-dimensional problem of stirring by a finite number…
Passive mixing in a three-dimensional serpentine microchannel
- R.H. Liu, M. Stremler, D. Beebe
- PhysicsJournal of Microelectromechanical Systems
- 1 June 2000
A three-dimensional serpentine microchannel design with a "C shaped" repeating unit is presented in this paper as a means of implementing chaotic advection to passively enhance fluid mixing. The…
Point vortex dynamics: A classical mathematics playground
- H. Aref
- Mathematics
- 12 June 2007
The idealization of a two-dimensional, ideal flow as a collection of point vortices embedded in otherwise irrotational flow yields a surprisingly large number of mathematical insights and connects to…
INTEGRABLE, CHAOTIC, AND TURBULENT VORTEX MOTION IN TWO-DIMENSIONAL FLOWS
- H. Aref
- Physics
- 1983
Vortex dynamics would appear to be exempt from Hardy 's pe ssimi stic verdict. On one hand, the evolution of vorticity, and thu s the motion s of vortice s, are essential ingredient s of virtually…
Numerical experiments on Hele Shaw flow with a sharp interface
- G. Tryggvason, H. Aref
- PhysicsJournal of Fluid Mechanics
- 1 November 1983
The fingering instability of an interface between two immiscible fluids in a Hele Shaw cell is simulated numerically. The algorithm used is based on a transcription of the equations of motion for the…
Chaotic advection by laminar flow in a twisted pipe
- S. W. Jones, O. M. Thomas, H. Aref
- Engineering, PhysicsJournal of Fluid Mechanics
- 1 December 1989
The appearance of chaotic particle trajectories in steady, laminar, incompressible flow through a twisted pipe of circular cross-section is demonstrated using standard dynamical systems diagnostics…
Chaotic advection in a Stokes flow
- H. Aref, S. Balachandar
- Physics
- 1 November 1986
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…
The development of chaotic advection
- H. Aref
- Environmental Science
- 28 February 2002
The concept of chaotic advection was developed some twenty years ago as an outgrowth of work on advection by interacting point vortices. The term “chaotic advection” was first introduced in the title…
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