Numerical Simulation of Concentration Gradient Generator Based on Cantor Fractal Principle

Document Type : Research Article

Authors

1 Faculty of Mechanical Engineering and Automation, Liaoning University of Technology, Jinzhou, Liaoning 121001, P.R. CHINA

2 Department of Information Engineering, Chaoyang Teachers College, Chaoyang, Liaoning 12200, P.R. CHINA

3 College of Transportation, Ludong University, Yantai, Shandong 264025, P.R. CHINA

Abstract

This paper mainly studies the design of a concentration gradient generator. Since
the fractal principle has been shown to have unique geometric properties, we study the fractal principle together with the concentration gradient generator. We designed an obstacle based on
the Cantor structure fractal applied the obstacle to the concentration gradient generator and then used the simulation software COMSOL Multiphysics 5.2a based on the finite element theory to carry out the numerical simulation. (a) The effect of fractal obstacle series on the concentration gradient, (b) the effect of microchannel height on the concentration gradient, and (c) the effect of different inlet velocities on the concentration gradient. A series of conclusions are obtained. The primary and secondary fractal obstacle has little influence on the concentration gradient. With the increase in the height of the microchannel, the change in the concentration gradient is small. The concentration gradient curve at different flow rates of the three-inlet concentration gradient generator shows a normal distribution trend. When the velocity decreases from 5×10-3 m/s to 1×10-5 m/s, the peak value of the curve decreases from 0.6 mol/L to about 0.35 mol/L. The concentration gradient curves at different flow rates of the two-inlet concentration gradient generator show a linear trend. When the velocity decreases from large 5×10-3 m/s to 1×10-5 m/s, the vertex value of the curve decreases from 1 to about 0.5 mol/L of complete mixing.

Keywords

Main Subjects

References

[1] Zhan X., Chen G., Jing D., Optimal Analysis of the Hydraulic and Mixing Performances of Symmetric 
T-Shaped Rectangular Microchannel Mixer, Fractals, 29(2): 2150042 (2021).
[2] Liu F., Jing D., Combined Electroosmotic and Pressure Driven Flow in Tree-Like Microchannel Network, Fractals, 29(5): 2150110(2021).
[3] Li Y., Xuan J., Hu R., Zhang P., Lou X., Yang Y., Microfluidic Triple-Gradient Generator For Efficient Screening of Chemical Space, Talanta, 204: 569-575 (2019).
[4] Zhao X., Yan X., Li Y., Liu B.F., Static Pressure-Driven Microfluidic Gradient Generator for Long-Term Cell Culture and Adaptive Cytoprotection Analysis, Microfluidics and Nanofluidics, 23(5): 1-10(2019).
[5] Rahimi M., Aghel B., Hatamifar B., Akbari M., Alsairafi A., CFD Modeling of Mixing Intensification Assisted with Ultrasound Wave in a T-Type Microreactor, Chemical Engineering and Processing: Process Intensification, 86: 36-46 (2014).
[6] Zhou T., Ji X., Shi L., Hu N., Li T., Dielectrophoretic Interactions of Two Rod-Shaped Deformable Particles under DC Electric Field, Colloids and Surfaces A: Physicochemical and Engineering Aspects, 607: 125493(2020).
[7] Zhou T., Ji X., Shi L., Zhang X., Deng Y., Joo S.W., Dielectrophoretic Choking Phenomenon in a Converging‐Diverging Microchannel for Janus Particles, Electrophoresis, 40(6): 993-999 (2019).
[8] Zhou B., Gao Y., Tian J., Tong R., Wu J., Wen W., Preparation of Orthogonal Physicochemical Gradients on PDMS Surface Using Microfluidic Concentration Gradient Generator, Applied Surface Science, 471: 213-221 (2019).
[9] Kumaran V., Bandaru P., Ultra-Fast Microfluidic Mixing by Soft-Wall Turbulence, Chemical Engineering Science, 149: 156-168 (2016).
[10] Shenoy D.V., Shadloo M.S., Peixinho J., Hadjadj A., Direct Numerical Simulations of Laminar and Transitional Flows in Diverging Pipes, International Journal of Numerical Methods for Heat & Fluid Flow, (2019).
[11] Liu X., Jia Y., Han Z., Hou Q., Zhang W., Zheng W., Jiang X., Integrating a Concentration Gradient Generator and a Single‐Cell Trapper Array for High‐Throughput Screening the Bioeffects of Nanomaterials, Angewandte Chemie International Edition, 60(22): 12319-12322 (2021).
[12] Gidde R.R., Pawar P.M., Ronge B.P., Misal N.D., Kapurkar R.B., Parkhe A.K., Evaluation of the Mixing Performance in a Planar Passive Micromixer with Circular and Square Mixing Chambers, Microsystem Technologies, 24(6): 2599-2610 (2018).
[13] Chen X., Zhao Z., Numerical Investigation on Layout Optimization of Obstacles in a Three-Dimensional Passive Micromixer, Analytica Chimica Acta, 964: 142-149 (2017).
[14] Shi X., Huang S., Wang L., Li F., Numerical Analysis Of Passive Micromixer With Novel Obstacle Design, Journal of Dispersion Science and Technology, 42(3): 440-456 (2021).
[15] Tofteberg T., Skolimowski M., Andreassen E., Geschke O., A Novel Passive Micromixer: Lamination in a Planar Channel System, Microfluidics and Nanofluidics, 8(2): 209-215 (2010).
[16] Zhao S., Chen C., Zhu P., Xia H., Shi J., Yan F., Shen R., Passive Micromixer Platform for Size-and Shape-Controllable Preparation of Ultrafine HNS, Industrial & Engineering Chemistry Research, 58(36): 16709-16718 (2019).
[17] Bayareh M., Ashani M.N., Usefian A., Active and Passive Micromixers: A Comprehensive Review, Chemical Engineering and Processing-Process Intensification, 147: 107771 (2020).
[18] Jothimuthu P., Bhagat A.A.S., Papautsky I., PhotoPDMS: Photodefinable PDMS for Rapid Prototyping. In 2008 17th Biennial University/Government/Industry Micro/Nano Symposium (pp. 183-186). IEEE. (2008).
[19] Raza W., Hossain S., Kim K.Y., A Review of Passive Micromixers with a Comparative Analysis, Micromachines, 11(5): 455 (2020).
[20] Ruijin W., Beiqi L., Dongdong S., Zefei Z., Investigation on the Splitting-Merging Passive Micromixer Based on Baker's Transformation, Sensors and Actuators B: Chemical, 249: 395-404 (2017).
[21] Jing D., Yi Sh., Electroosmotic Flow in Tree-Like Branching Microchannel Network, Fractals, 27(6): 1950095 (2019).
[22] Chen X., Shen J., Numerical Analysis of Mixing Behaviors of Two Types of E-Shape Micromixers, International Journal of Heat and Mass Transfer, 106: 593-600 (2017).
[23] Hong B., Xue P., Wu Y., Bao J., Chuah Y.J., Kang Y., A Concentration Gradient Generator on a Paper-Based Microfluidic Chip Coupled with Cell Culture Microarray for High-Throughput Drug Screening. Biomedical Microdevices, 18(1): 1-8 (2016).
[24] Shah I, Aziz S, Soomro A M, et al. Numerical and Experimental Investigation of Y-Shaped Micromixers with Mixing Units Based on Cantor Fractal Structure for Biodiesel Applications, Microsystem Technologies, 27(5): 2203-2216 (2021).
[25] Kim K., Shah I., Ali M., Aziz Sh., Khalid M.A., Kim Y.S., Choi K.H., Experimental and Numerical Analysis of Three Y-Shaped Split and Recombination Micromixers Based on Cantor Fractal Structures, Microsystem Technologies, 26(6): 1783-1796 (2020).
[26] Shakaib M., Fatima U., A Numerical Study for the Effects of Narrow Channel Dimensions on Pressure Drop and Mass Transfer Performance of a Mixer Device, Iranian Journal of Chemistry and Chemical Engineering (IJCCE), 41(5): 1727-1739 (2022).

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