2018
DOI: 10.1080/01457632.2018.1497120
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Numerical investigation of high-peclet-number mixing in periodically curved microchannel with strong curvature

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Cited by 11 publications
(10 citation statements)
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“…The grid-based solutions of the convective–diffusive equation suffer from the false numerical diffusion at a high Peclet number [ 42 ]. Therefore, to simulate fluid mixing in the proposed micromixers under various conditions, we adopt the particle tracking method with an approximation diffusion model (ADM), which is virtually free of numerical diffusion in high-Peclet-number flows and takes less computation time than the random-walk particle-tracking method [ 43 , 44 ]. To determine the non-diffused concentration field, we undertake the particle-tracking simulation, which is illustrated by an example shown in Figure 2 .…”
Section: Mixer Geometry Governing Equations and Computational Promentioning
confidence: 99%
See 1 more Smart Citation
“…The grid-based solutions of the convective–diffusive equation suffer from the false numerical diffusion at a high Peclet number [ 42 ]. Therefore, to simulate fluid mixing in the proposed micromixers under various conditions, we adopt the particle tracking method with an approximation diffusion model (ADM), which is virtually free of numerical diffusion in high-Peclet-number flows and takes less computation time than the random-walk particle-tracking method [ 43 , 44 ]. To determine the non-diffused concentration field, we undertake the particle-tracking simulation, which is illustrated by an example shown in Figure 2 .…”
Section: Mixer Geometry Governing Equations and Computational Promentioning
confidence: 99%
“…The displacements are repeated until the particle crosses either of the two inlets. The details of the backward particle-tracking simulation were reported by Kuo et al [ 44 ]. Next, the diffused concentration field is obtained by solving the approximation diffusion equation with the non-diffused concentration field as the initial condition.…”
Section: Mixer Geometry Governing Equations and Computational Promentioning
confidence: 99%
“…The method used for mixing index is by using the particle tracking procedure as explained in the recent research paper. 36 The mixing index formula (37) used is given by the formula…”
Section: Numerical Equations and Boundary Conditionsmentioning
confidence: 99%
“…The method used for mixing index is by using the particle tracking procedure as explained in the recent research paper. 36 The mixing index formula ( 37 ) used is given by the formula Standard variance in the form of the mass fraction on a cross-sectional plane is where n is the number of sample points, C i is the mass fraction sampling point value at a different position on the cross-sectional cut plane. C opt equals 0.5 represents the optimal mixing value.…”
Section: Modeling and Simulationmentioning
confidence: 99%
“…Thus, during the tracing procedure, the refractive-index value and gradient of each Runge-Kutta point have to be retreived from the refractive indices at grid points obtained by the CFD software and Equation (7). Here, we use Moving Least Squares (MLS) method [ 32 , 33 ] to reconstruct the refractive index at the Runge-Kutta points.…”
Section: Numerical Simulations and Geometrical Parameter Analysismentioning
confidence: 99%