Robust design of an active micro-mixer based on the Taguchi method

Park, Jae Yong; Kim, Yong‐Dae; Kim, Sang-Rak; Han, Sang Whan; Maeng, Joo-Sung

doi:10.1016/j.snb.2007.09.064

Cited by 21 publications

(12 citation statements)

References 13 publications

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“…Note that, in the condition of underetch, L1 and L2 increase, L3 decreases, and L4 is not changed. Also note that, in this case, ρ is positive; the aforementioned facts can easily be verified by (14).…”

Section: Modeling Uncertainty In Mems Fabrication Processsupporting

confidence: 59%

“…Since the structure is etched uniformly, if we define ρ to be a normal random variable with zero mean and standard deviation of σ, then we can write δ = ρζ (14) where…”

Section: Modeling Uncertainty In Mems Fabrication Processmentioning

confidence: 99%

“…Robust design has been developed and applied in many areas. Some examples include robust optical coating design [11], [12], robust design of a vibratory microgyroscope [13], an active micromixer [14], and brushless dc motors [15].…”

mentioning

confidence: 99%

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Improved Differential Evolution Based on Stochastic Ranking for Robust Layout Synthesis of MEMS Components

Fan

Liu

Sørensen

et al. 2009

IEEE Trans. Ind. Electron.

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Abstract-This paper introduces an improved differential evolution (DE) algorithm for robust layout synthesis of microelectromechanical system components subject to inherent geometric uncertainties. A case study of the layout synthesis of a combdriven microresonator shows that the approach proposed in this paper can lead to design results that meet the target performance and are less sensitive to geometric uncertainties than the typical designs. It is also demonstrated that the algorithm proposed in this paper cannot only obtain better results than the standard DE algorithm but also outperform some other state-of-the-art algorithms in constrained optimization. Index Terms-Differential evolution (DE), microelectromechanical systems (MEMS), robust design, stochastic ranking (SR).

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Section: Modeling Uncertainty In Mems Fabrication Processsupporting

confidence: 59%

“…Since the structure is etched uniformly, if we define ρ to be a normal random variable with zero mean and standard deviation of σ, then we can write δ = ρζ (14) where…”

Section: Modeling Uncertainty In Mems Fabrication Processmentioning

confidence: 99%

See 1 more Smart Citation

Improved Differential Evolution Based on Stochastic Ranking for Robust Layout Synthesis of MEMS Components

Fan

Liu

Sørensen

et al. 2009

IEEE Trans. Ind. Electron.

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“…They found optimal rotation speeds for various Reynolds numbers, and also showed that the oscillating stirrer was the most efficient method at each optimum rotation speed. Expanding on the previous study, Park et al 100 optimised the oscillating stirrer configuration and found an optimal design with a significantly increased mixing efficiency compared to the initial design. Homogeneous mixing via surface patterning has also been demonstrated 101 ; where two immiscible fluids were mixed as they flowed over wettable and non-wettable patches.…”

Section: Flow Control and Manipulationmentioning

confidence: 94%

Computational fluid dynamics in the microcirculation and microfluidics: what role can the lattice Boltzmann method play?

O’Connor

Day

Mandal

et al. 2016

Integrative Biology

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Patient-specific simulations, efficient parametric analyses, and the study of complex processes that are otherwise experimentally intractable are facilitated through the use of Computational Fluid Dynamics (CFD) to study biological flows. This review discusses various CFD methodologies that have been applied across different biological scales, from cell to organ level. Through this discussion the lattice Boltzmann method (LBM) is highlighted as an emerging technique capable of efficiently simulating fluid problems across the midrange of scales; providing a practical analytical tool compared to methods more attuned to the extremities of scale. Furthermore, the merits of the LBM are highlighted through examples of previous applications and suggestions for future research are made. The review focusses on applications in the midrange bracket, such as cellcell interactions, the microcirculation, and microfluidic devices; wherein the inherent mesoscale nature of the LBM renders it well suited to the incorporation of fluid-structure interaction effects, molecular/particle interactions and interfacial dynamics. The review demonstrates that the LBM has the potential to become a valuable tool across a range of emerging areas in bio-CFD, such as understanding and predicting disease, designing Lab-on-a-Chip devices, and elucidating complex biological processes.

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“…Different mechanisms and configurations have been implemented to achieve better mixing conditions, but the majority employ active mixers regardless of the simple fabrication technology and the easy implementation of passive mixers. Examples of active mixers include the swirl micro mixer [3], oscillating flat plate stirrer [4] and vortex pump mixer [5], while for passive mixers it is possible to find simpler versions, such as the Y and Ttype flow [6] and more complex ones, such as chaotic micro mixers [7]. Active mixers could employ different stirrer shapes (concentric or eccentric symmetric and asymmetric rotors) to generate secondary flow, swirling flow and vortices, which enhance mixing performance [1].…”

Section: Introductionmentioning

confidence: 99%

Boundary element solution of thermal creeping flow in a nano single mixer

Nieto

Power

Giraldo

2010

Boundary Elements and Other Mesh Reduction Methods XXXII

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In order to employ continuum models in the analysis of the flow behaviour of a viscous Newtonian fluid in micro scale devices, it is necessary to consider at the wall surfaces appropriate slip boundary conditions instead of the classical non-slip condition. The slip behaviour in the case of micro fluid flow of rarefied gases is associated with the combined effect of reduction in momentum transfer due to the reduction in the number of molecules (shear creep) and the thermal creep or transpiration, which as a consequence of inequalities in temperatures, forces the fluid to slide over a surface from colder to hotter regions. In this work a boundary integral equation formulation for Stokes slip flow, based on the normal and tangential projection of the Green's integral representational formulae for the Stokes velocity field, which directly incorporates into the integral equations the local tangential shear rate and heat flux at the wall surfaces, is presented. The tangential heat flux is evaluated in terms of the tangential gradient of the temperature integral representational formulae presenting singularity of the Cauchy type, which are removed by the use of an auxiliary field. These formulations are used to simulate a Single rotor mixer and analyze the combined effect of both shear and thermal creep effects over mixer performance.

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Robust design of an active micro-mixer based on the Taguchi method

Cited by 21 publications

References 13 publications

Improved Differential Evolution Based on Stochastic Ranking for Robust Layout Synthesis of MEMS Components

Improved Differential Evolution Based on Stochastic Ranking for Robust Layout Synthesis of MEMS Components

Computational fluid dynamics in the microcirculation and microfluidics: what role can the lattice Boltzmann method play?

Boundary element solution of thermal creeping flow in a nano single mixer

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