TY - JOUR
T1 - Optimization of micromixer with staggered herringbone grooves on top and bottom walls
AU - Hossain, Shakhawat
AU - Husain, Afzal
AU - Kim, Kwang Yong
N1 - Funding Information:
This work was supported by the National Research Foundation of Korea (NRF), grant No. 20090083510, funded by the Korean government (MEST) through Multi-phenomena CFD Engineering Research Center.
PY - 2011
Y1 - 2011
N2 - Multi-objective shape optimization of a micromixer with staggered herringbone grooves on the top and bottom walls has been performed through three-dimensional Navier-Stokes analysis, surrogate method and multi-objective evolutionary algorithm. Mixing index and friction factor are selected as objective functions, and four design variables, viz., number of grooves per half cycle (N), angle of groove (θ), groove depth to channel height ratio (d/h), and groove width to pitch ratio (Wd/pi) are chosen out of the various geometric parameters which affect the performance of the micromixer for the shape optimization. Numerical analysis has been performed with two working fluids, viz., water and ethanol at Reynolds number 1. The variance of the mass fraction at various nodes on a plane is used to quantify the mixing performance in the micromixer. The design space is explored through some preliminary calculations and a Latin hypercube sampling method is used as a design of experiments to exploit the design space. Response surface approximation model is constructed using numerical solutions at the designed-sites. The trade-off between the two competing objective functions has been found and discussed in the light of the distribution of Pareto-optimal solutions in the design space. It is observed that the Pareto-optimal solutions shift towards lower values of the design variables θ and wd/pi, and towards higher value of the design variable d/h whereas the design variable N remains insensitive along the Pareto-optimal front in the direction of higher mixing index.
AB - Multi-objective shape optimization of a micromixer with staggered herringbone grooves on the top and bottom walls has been performed through three-dimensional Navier-Stokes analysis, surrogate method and multi-objective evolutionary algorithm. Mixing index and friction factor are selected as objective functions, and four design variables, viz., number of grooves per half cycle (N), angle of groove (θ), groove depth to channel height ratio (d/h), and groove width to pitch ratio (Wd/pi) are chosen out of the various geometric parameters which affect the performance of the micromixer for the shape optimization. Numerical analysis has been performed with two working fluids, viz., water and ethanol at Reynolds number 1. The variance of the mass fraction at various nodes on a plane is used to quantify the mixing performance in the micromixer. The design space is explored through some preliminary calculations and a Latin hypercube sampling method is used as a design of experiments to exploit the design space. Response surface approximation model is constructed using numerical solutions at the designed-sites. The trade-off between the two competing objective functions has been found and discussed in the light of the distribution of Pareto-optimal solutions in the design space. It is observed that the Pareto-optimal solutions shift towards lower values of the design variables θ and wd/pi, and towards higher value of the design variable d/h whereas the design variable N remains insensitive along the Pareto-optimal front in the direction of higher mixing index.
KW - Micromixer
KW - Mixing
KW - Navier-Stokes analysis
KW - Optimization
KW - Staggered herringbone grooves
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U2 - 10.1080/19942060.2011.11015390
DO - 10.1080/19942060.2011.11015390
M3 - Article
AN - SCOPUS:82955211468
SN - 1994-2060
VL - 5
SP - 506
EP - 516
JO - Engineering Applications of Computational Fluid Mechanics
JF - Engineering Applications of Computational Fluid Mechanics
IS - 4
ER -