Optimal Frequency for Microfluidic Mixing across a Fluid Interface

Balasuriya, Sanjeeva

doi:10.1103/physrevlett.105.064501

Cited by 24 publications

(32 citation statements)

References 38 publications

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“…Thus, if hyperbolic trajectories with a heteroclinic manifold connecting them are made to move in a judiciously chosen manner, it will be possible to break apart the heteroclinic manifold into intersecting stable and unstable manifolds, thereby causing complicated (i.e., chaotic) mixing. Thus, controlling hyperbolic trajectories is a yet-unexplored avenue in the topic of controlling and optimizing mixing which is eliciting much recent interest [23,24,[38][39][40][41][42][43][44][45][46][47][48][49][50].…”

Section: Introductionmentioning

confidence: 99%

Accurate control of hyperbolic trajectories in any dimension

Balasuriya

Padberg‐Gehle

2014

Phys. Rev. E

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The unsteady (nonautonomous) analog of a hyperbolic fixed point is a hyperbolic trajectory, whose importance is underscored by its attached stable and unstable manifolds, which have relevance in fluid flow barriers, chaotic basin boundaries, and the long-term behavior of the system. We develop a method for obtaining the unsteady control velocity which forces a hyperbolic trajectory to follow a user-prescribed variation with time. Our method is applicable in any dimension, and accuracy to any order is achievable. We demonstrate and validate our method by (1) controlling the fixed point at the origin of the Lorenz system, for example, obtaining a user-defined nonautonomous attractor, and (2) the saddle points in a droplet flow, using localized control which generates global transport.

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Section: Introductionmentioning

confidence: 99%

Accurate control of hyperbolic trajectories in any dimension

Balasuriya

Padberg‐Gehle

2014

Phys. Rev. E

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“…Although there can be elastic turbulence in polymer solutions at low Re, 1 it is conventionally believed that the flow in microfluidics, where typical Re is on the order of 1 or lower and the fluids are often approximately seen as Newtonian, can only be laminar 2,3 and cannot be turbulent. [4][5][6][7] There is even no available velocimeter that can measure turbulence in microfluidics. 8 According to a recent review, Chang and Yang 9 implied that, so far, many efforts have been made to enhance mixing in microfluidics, e.g.…”

Section: Introductionmentioning

confidence: 99%

There can be turbulence in microfluidics at low Reynolds number

2014

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Turbulence is commonly viewed as a type of macroflow, where the Reynolds number (Re) has to be sufficiently high. In microfluidics, when Re is below or on the order of 1 and fast mixing is required, so far only chaotic flow has been reported to enhance mixing based on previous publications since turbulence is believed not to be possible to generate in such a low Re microflow. There is even a lack of velocimeter that can measure turbulence in microchannels. In this work, we report a direct observation of the existence of turbulence in microfluidics with Re on the order of 1 in a pressure driven flow under electrokinetic forcing using a novel velocimeter having ultrahigh spatiotemporal resolution. The work could provide a new method to control flow and transport phenomena in lab-on-a-chip and a new perspective on turbulence.

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“…Boundary membrane pulsation [12,13] can be used to achieve (11) by vibrating the top and bottom membranes in…”

Section: Parameters) Its Flow Is Given Bymentioning

confidence: 99%

“…Building on previous work on cross-interface flux [6][7][8][9][10][11], a constrained Euler-Lagrange approach is used to determine the timeperiodic velocity which optimizes fluid transport across heteroclinic interfaces with arbitrary geometry. It is proven that the explicit solution found corresponds to transport maximization.…”

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confidence: 99%