Analysis and multi-criteria design optimization of geometric characteristics of grooved micromixer

Computational fluids dynamics (CFDs) and numerical optimization techniques are applied in an integrated methodology to explore the effects of different geometric characteristics on fluid mixing in a staggered herringbone micromixer (SHM). To quantify the mixing intensity in the mixer a mixing index is defined on the basis of the intensity of segregation of the mass concentration on a cross-section plane in the mixing channel. Four geometric parameters, i.e., aspect ratio of the mixing channel, ratio of groove depth to channel height, ratio of groove width to groove pitch and the asymmetry factor (offset) of groove, are the design variables initially selected for optimization, then two more parameters, i.e., angle of the groove and number of grooves per channel section, are evaluated. The whole optimization is conducted with a multi-objective approach for which the mixing index at the outlet section and the pressure drop in the mixing channel are the performance criteria used as objective functions. The Pareto front of designs with the optimum trade-off, maximum mixing index with minimum pressure drop, is obtained.

[1]  Darwin R. Reyes,et al.  Micro total analysis systems. 1. Introduction, theory, and technology. , 2002, Analytical chemistry.

[2]  Nam-Trung Nguyen,et al.  Micromixers?a review , 2005 .

[3]  T. G. Kang,et al.  Colored particle tracking method for mixing analysis of chaotic micromixers , 2004 .

[4]  N. Lynn,et al.  Geometrical optimization of helical flow in grooved micromixers. , 2007, Lab on a chip.

[5]  S. Quake,et al.  Microfluidics in structural biology: smaller, faster ... better , 2003 .

[6]  M. A. Ansari,et al.  Shape optimization of a micromixer with staggered herringbone groove , 2007 .

[7]  E. Kansa Multiquadrics—A scattered data approximation scheme with applications to computational fluid-dynamics—I surface approximations and partial derivative estimates , 1990 .

[8]  Ka Fai Cedric Yiu,et al.  Three-Dimensional Automatic Optimization Method for Turbomachinery Blade Design , 2000 .

[9]  J. Ottino The Kinematics of Mixing: Stretching, Chaos, and Transport , 1989 .

[10]  P. V. Danckwerts The Definition and Measurement of Some Characteristics of Mixtures , 1952 .

[11]  R. L. Hardy Multiquadric equations of topography and other irregular surfaces , 1971 .

[12]  Akira Goto,et al.  On multi-objective optimization of geometry of staggered herringbone micromixer , 2009 .

[13]  I. Mezić,et al.  Chaotic Mixer for Microchannels , 2002, Science.

[14]  J. Aubin,et al.  Characterization of the Mixing Quality in Micromixers , 2003 .

[15]  Garret N. Vanderplaats,et al.  Numerical Optimization Techniques for Engineering Design: With Applications , 1984 .

[16]  Raymond H. Myers,et al.  Response Surface Methodology--Current Status and Future Directions , 1999 .

[17]  Patrick Patrick Anderson,et al.  Chaotic mixing using periodic and aperiodic sequences of mixing protocols in a micromixer , 2008 .

[18]  Douglas C. Montgomery,et al.  Response Surface Methodology: Process and Product Optimization Using Designed Experiments , 1995 .

[19]  김병재,et al.  마이크로 채널에서 두 유체 혼합 = Two-fluid mixing in a microchannel , 2004 .

[20]  J. Aubin,et al.  Design of micromixers using CFD modelling , 2005 .

[21]  Howard A. Stone,et al.  ENGINEERING FLOWS IN SMALL DEVICES , 2004 .

[22]  D. Hassell,et al.  Investigation of the convective motion through a staggered herringbone micromixer at low Reynolds number flow , 2006 .

[23]  Abraham D Stroock,et al.  Investigation of the staggered herringbone mixer with a simple analytical model , 2004, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[24]  V. Hessel,et al.  Micromixers—a review on passive and active mixing principles , 2005 .

[25]  Tianning Chen,et al.  Simulation and optimization of chaotic micromixer using lattice Boltzmann method , 2005 .

[26]  Jing-Tang Yang,et al.  Geometric effects on fluid mixing in passive grooved micromixers. , 2005, Lab on a chip.

[27]  Mehrdad Zangeneh,et al.  A multi-objective analysis and optimization methodology for the design of passive micromixers based on their own topology , 2008 .

[28]  T. G. Kang,et al.  The mapping method as a toolbox to analyze, design, and optimize micromixers , 2008 .