Experimental classification of nonlinear dynamics in microfluidic bubbles’ flow

A nonlinear analysis method based on the evaluation of d-infinite and largest Lyapunov exponent was used to study the complex dynamics of air bubbles carried by water and flowing in a microfluidic snake channel. A rich variety of nonlinear dynamics and flow patterns was found through the experimental observation of bubbles’ motion. The results and their graphical representation show the capability of the proposed set of dimensionless parameters to classify the nonlinearity of the process showing also its sensitivity to input flow variations.

[1]  Annie Colin,et al.  Extracting the hydrodynamic resistance of droplets from their behavior in microchannel networks. , 2009, Biomicrofluidics.

[2]  D. J. Bergman,et al.  Subcuticular microstructure of the hornet's gaster: Its possible function in thermoregulation , 2004, Journal of nanobiotechnology.

[3]  David J. Allstot.  Dear CAS Member's [President's Message] , 2009 .

[4]  N. Nguyen,et al.  Fundamentals and Applications of Microfluidics , 2002 .

[5]  Helen Song,et al.  Formation of droplets and mixing in multiphase microfluidics at low values of the Reynolds and the capillary numbers , 2003 .

[6]  H. Kantz,et al.  Nonlinear time series analysis , 1997 .

[7]  Steven H. Strogatz,et al.  Nonlinear Dynamics and Chaos , 2024 .

[8]  G. Whitesides,et al.  Generation of monodisperse particles by using microfluidics: control over size, shape, and composition. , 2005, Angewandte Chemie.

[9]  David A. Weitz,et al.  Mixing characterization inside microdroplets engineered on a microcoalescer , 2007 .

[10]  A. Crisanti,et al.  Predictability in the large: an extension of the concept of Lyapunov exponent , 1996, chao-dyn/9606014.

[11]  P. Tabeling,et al.  Producing droplets in parallel microfluidic systems. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[12]  Tony Jun Huang,et al.  Milliseconds microfluidic chaotic bubble mixer , 2009 .

[13]  S. Quake,et al.  Dynamic pattern formation in a vesicle-generating microfluidic device. , 2001, Physical review letters.

[14]  L. Fortuna,et al.  Microfluidic circuits and systems , 2009, IEEE Circuits and Systems Magazine.

[15]  G. Whitesides.  The origins and the future of microfluidics , 2006, Nature.

[16]  M. Rosenstein,et al.  A practical method for calculating largest Lyapunov exponents from small data sets , 1993 .

[17]  Schreiber,et al.  Improved Surrogate Data for Nonlinearity Tests. , 1996, Physical review letters.

[18]  Ziping Feng,et al.  Two-phase flow in microchannels , 2002 .

[19]  N. Nguyen,et al.  Optical detection for droplet size control in microfluidic droplet-based analysis systems , 2005, The 13th International Conference on Solid-State Sensors, Actuators and Microsystems, 2005. Digest of Technical Papers. TRANSDUCERS '05..

[20]  Maide Bucolo,et al.  Periodic input flows tuning nonlinear two-phase dynamics in a snake microchannel , 2011 .

[21]  Joshua D. Tice,et al.  Microfluidic systems for chemical kinetics that rely on chaotic mixing in droplets , 2004, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[22]  D. Ivanov,et al.  Microfluidics in biotechnology , 2004, Journal of nanobiotechnology.

[23]  Vittorio Cristini,et al.  Design of microfluidic channel geometries for the control of droplet volume, chemical concentration, and sorting. , 2004, Lab on a chip.

[24]  Nam-Trung Nguyen,et al.  Chaotic motion of microplugs under high-frequency thermocapillary actuation , 2007 .

[25]  Holger Kantz,et al.  Practical implementation of nonlinear time series methods: The TISEAN package. , 1998, Chaos.

[26]  H. Süße,et al.  μPIV-Analysis of Taylor flow in micro channels , 2008 .

[27]  Andrew D Griffiths,et al.  Miniaturising the laboratory in emulsion droplets. , 2006, Trends in biotechnology.

[28]  A. Gañán-Calvo,et al.  Perfectly monodisperse microbubbling by capillary flow focusing. , 2001, Physical review letters.

[29]  Victor M Ugaz,et al.  Fluid mixing in planar spiral microchannels. , 2006, Lab on a chip.

[30]  J. Sprott.  Chaos and time-series analysis , 2001 .

[31]  Luigi Fortuna,et al.  Complex spatio-temporal features in meg data. , 2006, Mathematical biosciences and engineering : MBE.

[32]  Armand Ajdari,et al.  Droplet Control for Microfluidics , 2005, Science.

[33]  Luigi Fortuna,et al.  The d/sub /spl infin// parameter to characterise chaotic dynamics , 2000, Proceedings of the IEEE-INNS-ENNS International Joint Conference on Neural Networks. IJCNN 2000. Neural Computing: New Challenges and Perspectives for the New Millennium.

[34]  J. Thompson,et al.  Nonlinear Dynamics and Chaos , 2002 .

[35]  George M. Whitesides,et al.  Formation of monodisperse bubbles in a microfluidic flow-focusing device , 2004 .

[36]  Samuel K Sia,et al.  Mixing with bubbles: a practical technology for use with portable microfluidic devices. , 2006, Lab on a chip.

[37]  Patrick Tabeling,et al.  Ordered and disordered patterns in two-phase flows in microchannels. , 2003, Physical review letters.

[38]  Chih-Ming Ho,et al.  Transport of bubbles in square microchannels , 2002 .

[39]  K. Kurabayashi,et al.  PDMS-based opto-fluidic micro flow cytometer with two-color, multi-angle fluorescence detection capability using PIN photodiodes , 2004 .