Hydrodynamic and mass transfer simulation of two immiscible phases in Y-Y and Spiral microchannels

Document Type : Research Article

Authors

1 School of Chemical Engineering, College of Engineering, University of Tehran, Tehran, IRAN.

2 Material and Nuclear Fuel Research School, Nuclear Science and Technology Research Institute, Tehran. IRAN

Abstract

Microfluidic is a science and technology that studies fluid in volumes of 10-9 to 10-18 liters using channels with dimensions on a micro-scale. One of the most critical applications of this technology is fluid flow analysis. Separation processes in microfluidic devices have received much attention in the last two decades. Among the various separation processes, liquid-liquid extraction has advantages such as low molecular diffusion distance and high interface-specific surface area, leading to efficient mass transfer in microfluidic devices. Stable isotopes are valuable tools for research into mineral availability and metabolism. Stable isotope applications as radiation-free detectors, Diagnosis of the disease, and nuclear imaging can also be used as the primary material or raw material for the production of radiopharmaceuticals, Nuclear imaging, Biochemical analysis, and radiotherapy. Due to the very low abundance of some isotopes, it is essential to separate and concentrate them. This research combines liquid-liquid extraction and microfluidic technology to extract and separate calcium ions as a new method.  In this study, to evaluate the possibility of performing calcium ion extraction simulations, in the studied microfluidic system, the ratio of two-phase velocities was selected so that the current inside the microchannel was flowing in parallel. First, the exact location of the interface was determined by the level set method, then the amount of mass transfer from the aqueous to organic phase was measured using the transport of diluted species method. The microchannel geometry was changed to a spiral geometry, and the extraction rate was investigated to study the effect of geometry on the extraction rate. In the Y-Y microchannel, the extraction efficiency was 60.062%, while in the spiral microchannel, the yield was 71.97%. in other words, by changing the microchannel geometry from Y-Y to the spiral, the mass transfer rate is improved by 11.9%.

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Main Subjects


[1] Zhao C.X., Miller E., Cooper‐White J.J., Middelberg A.P., Effects of Fluid–Fluid Interfacial Elasticity on Droplet Formation in Microfluidic Devices, AIChE Journal, 57(7): 1669-1677 (2011).
[3] Plouffe P., Roberge D.M., Sieber J., Bittel M., Macchi A., Liquid–Liquid Mass Transfer in a Serpentine Micro-Reactor Using Various Solvents, Chemical Engineering Journal, 285: 605-615 (2016).
[4] Plouffe P., Roberge D.M., Macchi A., Liquid–Liquid Flow Regimes and Mass Transfer in Various Micro-Reactors, Chemical Engineering Journal, 300: 9-19 (2016).
[5] Marques M., Fernandes P., Cabral J., Žnidaršič-Plazl P., Plazl I., On the Feasibility of in Situ Steroid Biotransformation and Product Recovery in Microchannels, Chemical Engineering Journal, 160(2): 708-714 (2010).
[6] Aota A., Mawatari K., Kitamori T., Parallel Multiphase Microflows: Fundamental Physics, Stabilization Methods and Applications, Lab on a Chip, 9(17): 2470-2476 (2009).
[7] Sattari-Najafabadi M., Esfahany M.N., Hexavalent Chromium Extraction from Aqueous Solutions in a Liquid-Liquid Slug Flow Microreactor, Chemical Engineering and Processing-Process Intensification, 157: 108156 (2020).
[8] Sattari-Najafabadi M., Esfahany M.N., Wu Z., Sunden B., Mass Transfer between Phases in Microchannels: A Review, Chemical Engineering and Processing-Process Intensification, 127: 213-237 (2018).
[9] Liu G., Wang K., Lu Y., Luo G., Liquid–Liquid Microflows and Mass Transfer Performance in Slit-Like Microchannels, Chemical Engineering Journal, 258: 34-42 (2014).
[10] Sattari-Najafabadi M., Esfahany M.N., Wu Z., Sundén B., Hydrodynamics and Mass Transfer in Liquid-Liquid Non-Circular Microchannels: Comparison of Two Aspect Ratios and Three Junction Structures, Chemical Engineering Journal, 322: 328-338 (2017).
[11] Sadeghi A., Amini Y., Saidi M.H., Chakraborty S., Numerical Modeling of Surface Reaction Kinetics in Electrokinetically Actuated Microfluidic Devices, Analytica chimica acta, 838: 64-75 (2014).
[12] Sadeghi A., Amini Y., Saidi M.H., Yavari H., Shear‐Rate‐Dependent Rheology Effects on Mass Transport and Surface Reactions in Biomicrofluidic Devices, AIChE Journal, 61(6): 1912-1924 (2015).
[13] Jahromi P.F., Karimi-Sabet J., Amini Y., Fadaei H., Pressure-Driven Liquid-Liquid Separation in Y-Shaped Microfluidic Junctions, Chemical Engineering Journal, 328: 1075-1086 (2017).
[14] Sattari‐Najafabadi M., Nasr Esfahany M., Wu Z., Sundén B., The Effect of the Size of Square Microchannels on Hydrodynamics and Mass Transfer During Liquid‐Liquid Slug Flow, AIChE Journal, 63(11): 5019-5028 (2017).
[16] Kashid N.M., Renken A., Kiwi-Minsker L., Influence of Flow Regime on Mass Transfer in Different Types of Microchannels, Industrial & Engineering Chemistry Research, 50(11): 6906-6914 (2011).
[17] Cao Z., Wu Z., Sattari Najafabadi M., Sunden B., Liquid-Liquid Flow Patterns in Microchannels, American Society of Mechanical Engineers, V002T010A013, (2017).
[18] Abdollahi P., Karimi-Sabet J., Moosavian M.A., Amini Y., Microfluidic Solvent Extraction of Calcium: Modeling and Optimization of the Process Variables, Separation and Purification Technology, 231: 115875 (2020).
[19] Kishimoto T., Matsuoka K., Fukumoto T., Umehara S., Calcium Isotope Enrichment by Means of Multi-Channel Counter-Current Electrophoresis for the Study of Particle and Nuclear Physics, Progress of Theoretical and Experimental Physics, 2015(3): (2015).
[20] Gussone N., Dietzel M., Calcium Isotope Fractionation During Mineral Precipitation from Aqueous Solution, Springer, 75-110 (2016).
[21] Sattari-Najafabadi M., Esfahany M.N.N., Intensification of Liquid-Liquid Mass Transfer in a Circular Microchannel in the Presence of Sodium Dodecyl Sulfate, Chemical Engineering and Processing: Process Intensification, 117: 9-17 (2017).
[22] Farahani A., Rahbar-Kelishami A., Shayesteh H., Microfluidic Solvent Extraction of Cd (II) in Parallel Flow Pattern: Optimization, Ion Exchange, and Mass Transfer Study, Separation and Purification Technology, 258: 118031 (2021).
[23]     Marsousi S., Karimi-Sabet J., Moosavian M.A., Amini Y., Liquid-Liquid Extraction of Calcium Using Ionic Liquids in Spiral Microfluidics, Chemical Engineering Journal, 356: 492-505 (2019).
[24] Foroozan P., Karimi-sabet J., Amini Y., Ion-Pair Extraction-Reaction of Calcium Using Y-Shaped Micro Fl Uidic Junctions: An Optimized Separation Approach, Chemical Engineering Journal, 334: 2603-2615 (2018).  
[25] Hibara A., Tokeshi M., Uchiyama K., HISAMOTO H., KITAMORI T., Integrated Multilayer Flow System on a Microchip, Analytical sciences, 17(1): 89-93 (2001).
[26] Kim H.-B., Ueno K., Chiba M., Kogi O., Kitamura N., Spatially-Resolved Fluorescence Spectroscopic Study on Liquid/Liquid Extraction Processes in Polymer Microchannels, Analytical sciences, 16(8): 871-876 (2000).
[27] Žnidaršič-Plazl P., Plazl I., Steroid Extraction in a Microchannel System—Mathematical Modelling and Experiments, Lab on a Chip, 7(7): 883-889 (2007).
[28] Hazama R., Tatewaki Y., Kishimoto T., Matsuoka K., Endo N., Kume K., Shibahara Y., Tanimizu M., Challenge on Ca-48 Enrichment for Candles Double Beta Decay Experiment, arXiv preprint arXiv:0710.3840, (2007).
[29] Russom A., Gupta A.K., Nagrath S., Di Carlo D., Edd J.F., Toner M., Differential Inertial Focusing of Particles in Curved Low-Aspect-Ratio Microchannels, New journal of physics, 11(7): 075025 (2009).
[30] Sun J., Liu C., Li M., Wang J., Xianyu Y., Hu G., Jiang X., Size-Based Hydrodynamic Rare Tumor Cell Separation in Curved Microfluidic Channels, Biomicrofluidics, 7(1): 011802 (2013).
[31] Madenci E., Guven I., "The Finite Element Method and Applications in Engineering Using Ansys®", Springer, (2015).
[32] Bathe K.J., Finite Element Method, Wiley encyclopedia of computer science and engineering:  1-12 (2007).
[33] Amini Y., Karimi‐Sabet J., Esfahany M.N., Experimental and Numerical Simulation of Dry Pressure Drop in High‐Capacity Structured Packings, Chemical Engineering & Technology, 39(6): 1161-1170 (2016).
[34] Deshpande K.B., Zimmerman W.B., Simulation of Interfacial Mass Transfer by Droplet Dynamics Using the Level Set Method, Chemical Engineering Science, 61(19): 6486-6498 (2006).
[35] Olsson E., Kreiss G., A Conservative Level Set Method for Two Phase Flow, Journal of computational physics, 210(1): 225-246 (2005).
[36] Osher S., Sethian J.A., Fronts Propagating with Curvature-Dependent Speed: Algorithms Based on Hamilton-Jacobi Formulations, Journal of computational physics, 79(1): 12-49 (1988).
[38] Amini Y., Nasr Esfahany M., CFD Simulation of the Structured Packings: A Review, Separation science and technology, 54(15): 2536-2554 (2019).
[39] Ismail M., Level Set and Phase Field Methods: Application to Moving Interfaces and Two-Phase Fluid Flows, Claremont Graduate University, Claremont: (2007).
[40] Najafabadi H.H., Moraveji M.K., CFD Investigation of Local Properties of Al2o3/Water Nanofluid in a Converging Microchannel under Imposed Pressure Difference, Advanced Powder Technology, 28(3): 763-774 (2017).
[41] Bird R.B., Transport Phenomena, Appl. Mech. Rev., 55(1): R1-R4 (2002).
[42] Amini Y., Karimi-Sabet J., Esfahany M.N., Experimental and Numerical Study of Multiphase Flow in New Wire Gauze with High Capacity Structured Packing, Chemical Engineering and Processing: Process Intensification, 108: 35-43 (2016).
[43] Pali H.S., Sharma A., Kumar N., Singh Y., Biodiesel Yield and Properties Optimization from Kusum Oil by RSM, Fuel, 291: 120218 (2021).
[44] Silva G.F., Camargo F.L., Ferreira A.L., Application of Response Surface Methodology for Optimization of Biodiesel Production by Transesterification of Soybean Oil with Ethanol, Fuel Processing Technology, 92(3): 407-413 (2011).
[45] Ahmad T., Danish M., Kale P., Geremew B., Adeloju S.B., Nizami M., Ayoub M., Optimization of Process Variables for Biodiesel Production by Transesterification of Flaxseed Oil and Produced Biodiesel Characterizations, Renewable Energy, 139: 1272-1280 (2019).
[46] Montgomery D.C., "Design and Analysis of Experiments", John wiley & sons, (2017).
[47] Yagodnitsyna A.A., Kovalev A.V., Bilsky A.V., Flow Patterns of Immiscible Liquid-Liquid Flow in a Rectangular Microchannel with T-Junction, Chemical Engineering Journal, 303: 547-554 (2016).
[48] Schaap A., Dumon J., Den Toonder J., Sorting Algal Cells by Morphology in Spiral Microchannels Using Inertial Microfluidics, Microfluidics and Nanofluidics, 20(9): 1-11 (2016).
[49] Warkiani M.E., Khoo B.L., Wu L., Tay A.K.P., Bhagat A.A.S., Han J., Lim C.T., Ultra-Fast, Label-Free Isolation of Circulating Tumor Cells from Blood Using Spiral Microfluidics, Nature protocols, 11(1): 134-148 (2016).