Serpentine Micromixers Using Extensional Mixing Elements
<p>Velocity field maps along the center plane for: (<b>a</b>) a channel with a rectangular constriction and (<b>b</b>) a channel with a constriction defined by a hyperbolic function, respectively. (<b>c</b>) Corresponding pressure gradient profiles along the two channels, showing lower pressure drops for the same constriction diameter for the hyperbolic design.</p> "> Figure 2
<p>(<b>a</b>) Top view of the geometry of the investigated design; (<b>b</b>) hyperbola defining the constriction of the straight sections between adjacent curves; (<b>c</b>) 3D geometry of the channel investigated.</p> "> Figure 3
<p>(<b>top</b>) Longitudinal cross-section at <span class="html-italic">H/2</span> (middle of the channel) of the magnitude of the velocity map and (<b>bottom</b>) concentration cross-sectional maps along the channel, for: (<b>a</b>) the design with <span class="html-italic">a =</span> 20 μm and <span class="html-italic">b</span> = 1 × <span class="html-italic">a</span>; and (<b>b</b>) the corresponding simple serpentine channel (Reynolds number <span class="html-italic">Re</span> = 20).</p> "> Figure 4
<p>Velocity magnitude and concentration maps for the (<b>a</b>) design with <span class="html-italic">a =</span> 35 μm and <span class="html-italic">b</span> = 2 × <span class="html-italic">a</span>; and (<b>b</b>) the corresponding simple serpentine channel (<span class="html-italic">Re</span> = 20).</p> "> Figure 5
<p>Velocity magnitude and concentration maps for the (<b>a</b>) design with <span class="html-italic">a =</span> 50 μm and <span class="html-italic">b</span> = 3 × <span class="html-italic">a</span>; and (<b>b</b>) the corresponding simple serpentine channel (<span class="html-italic">Re</span> = 20).</p> "> Figure 6
<p>Reynolds number dependence of the mixing index of mixers with: (<b>left</b>) <span class="html-italic">a =</span> 20 μm and <span class="html-italic">b</span> = 1 × <span class="html-italic">a</span>; (<b>middle</b>) <span class="html-italic">a =</span> 35 μm and <span class="html-italic">b</span> = 2 × <span class="html-italic">a</span>; and (<b>right</b>) <span class="html-italic">a =</span> 50 μm and <span class="html-italic">b</span> = 3 × <span class="html-italic">a</span>.</p> "> Figure 7
<p>Stretch rate maps along the longitudinal cross-section of various constricted serpentine channels studied in this work. Insets specify the geometrical parameters of the channels, as well as the maximum value <math display="inline"><semantics> <mrow> <msub> <mover accent="true"> <mi>ε</mi> <mo>˙</mo> </mover> <mrow> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> </mrow> </semantics></math> of the <math display="inline"><semantics> <mrow> <msub> <mover accent="true"> <mi>ε</mi> <mo>˙</mo> </mover> <mrow> <mi>y</mi> </mrow> </msub> </mrow> </semantics></math> stretch rate observed (<span class="html-italic">Re</span> = 20).</p> "> Figure 8
<p>Streamline plots for: (<b>a</b>) transversal section in a serpentine channel; (<b>b</b>) transversal section in a constricted channel; and (<b>c</b>) longitudinal section in a constricted channel (<span class="html-italic">Re</span> = 40).</p> "> Figure 9
<p>(<b>a</b>) Parametric study of the mixing index dependence on the <span class="html-italic">a</span> and <span class="html-italic">b</span> parameters (<span class="html-italic">Re</span> = 20); (<b>b</b>) increase in the mixing performance relative to simple serpentine designs.</p> ">
Abstract
:1. Introduction
2. Geometrical Design of the Micromixer
3. Numerical Modeling and Assessment of Mixing
4. Results and Discussion
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Conflicts of Interest
References
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b | 0.5 × a | 0.75 × a | 1.0 × a | 1.5 × a | 2.0 × a | 2.5 × a | 3.0 × a | 4.0 × a | 5.0 × a | |
---|---|---|---|---|---|---|---|---|---|---|
a | ||||||||||
20 μm | (20, 10) | (20, 15) | (20, 20) | (20, 30) | (20, 40) | (20, 50) | (20, 60) | (20, 80) | (20, 100) | |
35 μm | (35, 17.5) | (35, 26.25) | (35, 35) | (35, 52.5) | (35, 70) | (35, 87.5) | (35, 105) | (35, 140) | (35, 175) | |
50 μm | (50, 25) | (50, 37.5) | (50, 50) | (50, 75) | (50, 100) | (50, 125) | (50, 150) | (50, 200) | (50, 250) | |
65 μm | (65, 32.5) | (65, 48.75) | (65, 65) | (65, 97.5) | (65, 130) | (65, 162.5) | (65, 195) | (65, 260) | (65, 325) | |
80 μm | (80, 40) | (80, 60) | (80, 80) | (80, 120) | (80, 160) | (80, 200) | (80, 240) | (80, 320) | (80, 400) |
Re | 1 | 10 | 20 | 40 | 60 | 80 | 100 |
---|---|---|---|---|---|---|---|
(a = 20 μm, b = 20 μm) | De = 0.66 ΔP = 0.167 kPa | De = 6.6 ΔP = 1.76 kPa | De = 13.3 ΔP = 3.93 kPa | De = 26.6 ΔP = 10.1 kPa | De = 40 ΔP = 18.8 kPa | De = 53.3 ΔP = 30.0 kPa | De = 66 ΔP = 43.6 kPa |
(a = 35 μm, b = 70 μm) | De = 0.66 ΔP = 0.135 kPa | De = 6.6 ΔP = 1.38 kPa | De = 13.3 ΔP = 2.85 kPa | De = 26.6 ΔP = 6.33 kPa | De = 40 ΔP = 10.7 kPa | De = 53.3 ΔP = 15.9 kPa | De = 66 ΔP = 22.0 kPa |
(a = 50 μm, b = 150 μm) | De = 0.66 ΔP = 0.130 kPa | De = 6.6 ΔP = 1.32 kPa | De = 13.3 ΔP = 2.68 kPa | De = 26.6 ΔP = 5.69 kPa | De = 40 ΔP = 9.2 kPa | De = 53.3 ΔP = 13.3 kPa | De = 66 ΔP = 17.9 kPa |
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Tomaras, G.; Kothapalli, C.R.; Fodor, P.S. Serpentine Micromixers Using Extensional Mixing Elements. Micromachines 2022, 13, 1785. https://doi.org/10.3390/mi13101785
Tomaras G, Kothapalli CR, Fodor PS. Serpentine Micromixers Using Extensional Mixing Elements. Micromachines. 2022; 13(10):1785. https://doi.org/10.3390/mi13101785
Chicago/Turabian StyleTomaras, George, Chandrasekhar R. Kothapalli, and Petru S. Fodor. 2022. "Serpentine Micromixers Using Extensional Mixing Elements" Micromachines 13, no. 10: 1785. https://doi.org/10.3390/mi13101785