Abstract
At the micro-level, the surface-to-volume ratio becomes large, making surface tension force relevant during the formation of the droplets. Numerical work in the microdroplets formation is performed in this article. The droplet formation is simulated at the T-junction for the two-phase system. The mechanism of droplets formation in the squeezing regime has been performed through the level set method, and the pressure in the main channel and shear strain rate is analyzed. Droplets simulation at T-junction has been validated with experimental data (Nisisako et al., 2002, Li et al., 2012). During droplets formation in the squeezing regime, both pressure and velocity fields vary at T-junction until the single thread. Pressure at the cross-section area is dissimilar in the dispersed and continuous regions. Its difference varies from 0 pa to 600 pa, for the flow rate of dispersed fluid (0.3 ml/hr to 1.25 ml/hr) and continuous fluid (5 ml/hr). Also, the shear strain rate (≈7000 1/s) has been higher in the dispersed phase near to the neck than the penetration position (≈3500 1/s) and bulge position(≈4000 1/s).
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Anna, S. L., Bontoux, N., & Stone, H. A. (2003). Formation of dispersions using “flow focusing” in microchannels. Applied Physics Letters, 82(3), 364–366. https://doi.org/10.1063/1.1537519
Christopher, G. F., Noharuddin, N. N., Taylor, J. A., & Anna, S. L. (2008). Experimental observations of the squeezing-to-dripping transition in T-shaped microfluidic junctions. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 78(3), 1–12. https://doi.org/10.1103/PhysRevE.78.036317
De menech, M., Garstecki, P., Jousse, F., & Stone, H. A. (2008). The transition from squeezing to dripping in a microfluidic T-shaped junction. Journal of Fluid Mechanics, 595, 141–161. https://doi.org/10.1017/S002211200700910X
Gada, V. H., & Sharma, A. (2009). On derivation and physical interpretation of level set method-based equations for two-phase flow simulations. Numerical Heat Transfer, Part B: Fundamentals, 56(4), 307–322. https://doi.org/10.1080/10407790903388258
Garstecki, P., Fuerstman, M. J., Stone, H. A., & Whitesides, G. M. (2006). Formation of droplets and bubbles in a microfluidic T-junction - Scaling and mechanism of the break-up. Lab on a Chip, 6(3), 437–446. https://doi.org/10.1039/b510841a
Glawdel, T., Elbuken, C., & Ren, C. L. (2012). Droplet formation in microfluidic T-junction generators operating in the transitional regime. II. Modelling. Physical Review E, 85(1), 1–12. https://doi.org/10.1103/physreve.85.016323
Gupta, A., & Kumar, R. (2010). Effect of geometry on droplet formation in the squeezing regime in a microfluidic T-junction. Microfluidics and Nanofluidics, 8(6), 799–812. https://doi.org/10.1007/s10404-009-0513-7
Han, W., & Chen, X. (2018). Numerical simulation of the droplet formation in a T-Junction microchannel by a level-set method. Australian Journal of Chemistry, 71(12), 957–964. https://doi.org/10.1071/CH18320
Hou, L., Ren, Y., Jia, Y., Deng, X., Liu, W., Feng, X., & Jiang, H. (2017). Continuously Electrotriggered Core Coalescence of Double-Emulsion Drops for Microreactors. ACS Applied Materials and Interfaces, 9(14), 12282–12289.
Kashid, M. N., Renken, A., & Kiwi-Minsker, L. (2010). CFD modelling of liquid-liquid multiphase microstructured reactor: Slug flow generation. Chemical Engineering Research and Design, 88(3), 362–368. https://doi.org/10.1016/j.cherd.2009.11.017
Li, X. Bin, Li, F. C., Yang, J. C., Kinoshita, H., Oishi, M., & Oshima, M. (2012). Study on the mechanism of droplet formation in T-junction microchannel. Chemical Engineering Science, 69(1), 340–351. https://doi.org/10.1016/j.ces.2011.10.048
Liow, J. (2004). Numerical simulation of drop formation in a T-shaped microchannel. Proceedings of 15th Australasian Fluid Mechanics Conference, December. http://www.aeromech.usyd.edu.au/15afmc/proceedings/papers/AFMC00019.pdf
MSussman & MOhta. (2012). The buoyancy-driven motion of a single skirted bubble or drop rising through a viscous liquid. Physics of fluid, 24(11). https://doi.org/10.1063/1.4765669
Nisisako, T., Torii, T., & Higuchi, T. (2002). Droplet formation in a microchannel network. Lab on a Chip, 2(1), 24–26. https://doi.org/10.1039/b108740c
Olsson, E., & Kreiss, G. (2005). A conservative level set method for two-phase flow. Journal of Computational Physics, 210(1), 225–246. https://doi.org/10.1016/j.jcp.2005.04.007
Olsson, E., Kreiss, G., & Zahedi, S. (2007). A conservative level set method for two-phase flow II. Journal of Computational Physics, 225(1), 785–807. https://doi.org/10.1016/j.jcp.2006.12.027
Osher, S., & Sethian, J. A. (1988). Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations. Journal of Computational Physics, 79(1), 12–49. https://doi.org/10.1016/0021-9991(88)90002-2
Schneider, T., Burnham, D. R., Vanorden, J., & Chiu, D. T. (2011). Systematic investigation of droplet generation at T-junctions. Lab on a Chip, 11(12), 2055–2059. https://doi.org/10.1039/c1lc20259f
Van Steijn, V., Kleijn, C. R., & Kreutzer, M. T. (2009). Flows around confined bubbles and their importance in triggering pinch-off. Physical Review Letters, 103(21), 1–4. https://doi.org/10.1103/PhysRevLett.103.214501
van Steijn, V., Kreutzer, M. T., & Kleijn, C. R. (2007). μ-PIV study of the formation of segmented flow in microfluidic T-junctions. Chemical Engineering Science, 62(24), 7505–7514. https://doi.org/10.1016/j.ces.2007.08.068
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Maurya, T.C.K., Dutta, S. (2023). Numerical Study of Break-up Mechanism of the Droplets Formation in the Microfluidic T Junction. In: Bhattacharyya, S., Verma, S., Harikrishnan, A.R. (eds) Fluid Mechanics and Fluid Power (Vol. 3). FMFP 2021. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-19-6270-7_42
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