The study of ethanol and water mixing modes in the T-shaped micromixers
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 12 (2019) no. 2, pp. 202-212.

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The study of regimes of ethanol and water mixing was carried out using numerical simulation, and the dependence of the mixing efficiency of these fluids on the Reynolds number was defined. In the course of the numerical investigation, a significant effect of the differences in the viscosities and densities of the miscible fluids on the flow regimes and the mixing efficiency of these two fluids was found. The distributions of pressure, components concentration and velocity in the micromixer were obtained. The dependence of the fluids mixing efficiency and pressure drop on the Reynolds number, as well as the map of flow and mixing regimes were determined. The nonlinear dependence of the mixture thermophysical properties on the ethanol concentration was taken into account. It was found that the last one results in much higher pressure drop comparing to the case of the water-water mixing. Moreover, an inflection was observed in the dependence of the pressure drop on the Reynolds number for the water-ethanol mixing at the transition of the flow in a micromixer to the engulfment regime.
Keywords: hydrodynamics, numerical simulation, T-shaped micromixer, ethanol, nonlinear.
Mots-clés : micromixer
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Alexander S. Lobasov; Anna A. Shebeleva; Andrey V. Minakov. The study of ethanol and water mixing modes in the T-shaped micromixers. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 12 (2019) no. 2, pp. 202-212. http://geodesic.mathdoc.fr/item/JSFU_2019_12_2_a6/

[1] P. Tabeling, Introduction to microfluidics, Oxford University Press, Oxford, 2005

[2] G. Karnidakis, A. Beskok, N. Aluru, Microflows and nanoflows, Interdisciplinary Applied Math., 29, Springer Science+Business Media Inc. | MR

[3] R. Karnik, “Microfluidic mixing”, Encyclopedia of microfluidics and nanofluidics, ed. Li D., Springer, 2008

[4] V. Rudyak, A. Minakov, “Modeling and optimization of Y-type micro-mixers”, Micromachines, 5:4 (2014), 886–912 | DOI

[5] J. Aubin, D.F. Fletcher, C. Xuereb, “Design of micro-mixers using CFD modeling”, Chem. Eng. Sci., 60:8–9 (2005), 2503–2516 | DOI

[6] M. Hoffmann, M. Schluter, N. Rubiger, “Experimental investigation of fluid–fluid mixing in T-shaped micro-mixers using $\mu$-LIF and $\mu$-PIV”, Chem. Eng. Sci., 61:9 (2006), 2968–2976 | DOI

[7] D. Bothe, C. Stemich, H.-J. Warnecke, “Theoretical and experimental investigations of mixing processes in T-shaped microreactors – Part 1: Numerical simulation and assessment of flow mixing”, Chemie Ingenieur Technik, 76:10 (2004), 1480–1484 | DOI

[8] D. Bothe, C. Stemich, H.-J. Warnecke, “Fluid mixing in a T-shaped micro-mixer”, Chem. Eng. Sci., 61:9 (2006), 2950–2958 | DOI

[9] C. Stemich, Theoretische und numerische Untersuchung des Struomungsmischens in einem T-formigen Mikromischer, Dissertation zur Erlangung des akademischen Grades Doktor der Naturwissenschaften, Universitat at Paderborn, 2006

[10] S. Dreher, N. Kockmann, P. Woias, “Characterization of laminar transient flow regimes and mixing in T-shaped micro-mixers”, Heat Transfer Engineering, 30:1–2 (2009), 91–100 | DOI

[11] A.V. Minakov, V. Ya.Rudyak, A.A. Gavrilov, A.A. Dekterev, “Mixing in T-shaped micromixer at moderate Reynolds numbers”, Thermophysics and Aeromechanics, 19 (2012), 385–395 | DOI

[12] A. Minakov, V. Rudyak, A. Dekterev, A. Gavrilov, “Investigation of slip boundary conditions in the T-shaped microchannel”, Int. J. of Heat and Fluid Flow, 43 (2013), 161–169 | DOI

[13] A. Minakov, A. Yagodnitsina, A. Lobasov, V. Rudyak, A. Bilsky, “Study of fluid flow in micromixer with symmetrical and asymmetrical inlet conditions”, La Houille Blanche, 2013, no. 5, 12–21 | DOI

[14] A.S. Lobasov, A.V. Minakov, V.Ya. Rudyak, “Viscosity effect on the flow modes in T-type micro-mixers”, Fluid Dynamics, 51:3 (2016), 381–388 | DOI | MR | Zbl

[15] A.S. Lobasov, A.V. Minakov, “Density effect on the mixing efficiency and flow modes in T-shaped micromixers”, MATEC Web of Conferences, 115 (2017), 07002 | DOI

[16] A.S. Lobasov, A.A. Shebeleva, “Initial temperatures effect on the mixing efficiency and flow modes in T-shaped micromixer”, J. Phys.: Conf. Ser., 899 (2017), 022010 | DOI

[17] C. Galletti, G. Arcolini, E. Brunazzi, R. Mauri, “Mixing of binary fluids with composition-dependent viscosity in a T-shaped micro-device”, Chem. Eng. Sci., 123 (2015), 300–310 | DOI

[18] C. Galletti, E. Brunazzi, R. Mauri, “Unsteady mixing of binary liquid mixtures with composition-dependent viscosity”, Chem. Eng. Sci., 164 (2017), 333–343 | DOI

[19] G. Orsi, M. Roudgar, E. Brunazzi, C. Galletti, R. Mauri, “Water-ethanol mixing in T-shaped microdevices”, Chem. Eng. Sci., 95 (2013), 174–183 | DOI

[20] W. Wang, S. Zhao, T. Shao, Y. Jin, Y. Cheng, “Visualization of micro-scale mixing in miscible liquids using $\mu$-LIF technique and drug nano-particle preparation in T-shaped micro-channels”, Chem. Eng. J., 192 (2012), 252–261 | DOI

[21] R.J. Poole, M. Alfateh, A.P. Gauntlett, “Bifurcation in a T-channel junction: Effects of aspect ratio and shear-thinning”, Chem. Eng. Sci., 104 (2013), 839–848 | DOI

[22] T. Andreussi, C. Galletti, R. Mauri, S. Camarri, M.V. Salvetti, “Flow regimes in T-shaped micro-mixers”, Comp. and Chem. Eng., 76 (2015), 150–159 | DOI

[23] A. Soleymani, H. Yousefi, I. Turunen, “Dimensionless number for identification of flow patterns inside a T-micromixer”, Chem. Eng. Sci., 63:21 (2008), 5291–5297 | DOI

[24] A. Fani, S. Camarri, M.V. Salvetti, “Investigation of the steady engulfment regime in a three-dimensional T-mixer”, Phys. Fluids, 25:6 (2013), 064102 | DOI

[25] A. Fani, S. Camarri, M.V. Salvetti, “Unsteady asymmetric engulfment regime in a T-mixer”, Physics of Fluids, 26:7 (2014), 074101 | DOI

[26] C. Galletti, M. Roudgar, E. Brunazzi, R. Mauri, “Effect of inlet conditions on the engulfment mode in a T-shaped micro-mixer”, Chem. Eng. J., 185 (2012), 300–313 | DOI

[27] A.A. Gavrilov, A.V. Minakov, A.A. Dekterev, V.Ya. Rudyak, “A numerical algorithm for modeling laminar flows in an annular channel with eccentricity”, J. of App. and Ind. Math., 5:4 (2011), 559–568 | DOI | MR

[28] S. Patankar, Numerical methods in heat transfer and fluid dynamics, Energoatomizdat, M., 1984 (in Russian) | MR

[29] Yu.A. Bystrov, S.A. Isaev, N.A. Kudryavtsev, A.I. Leont'ev, Numerical simulation of vortex based enhancement of heat transfer in tube packages, Shipbuilding, 2005

[30] J.H. Ferziger, M. Peric, Computational methods for fluid dynamics, Springer Science+Business Media Inc., Berlin, 2002 | MR | Zbl

[31] B.P. Leonard, “A stable and accurate convective modeling procedure based on quadratic upstream interpolation”, Comp. Math. Appl. Mech. Eng., 19:1 (1979), 59–98 | DOI | Zbl

[32] C.M. Rhie, W.L. Chow, “Numerical study of the turbulent flow past airfoil with trailing edge separation”, AIAA Journal, 21:11 (1983), 1525–1532 | DOI | Zbl

[33] U. Trottenberg, C.W. Oosterlee, A. Schüller, Multigrid, Academic Press, 2001 | MR | Zbl

[34] M. Dizechi, E. Marschall, “Viscosity of some binary and ternary liquid mixtures”, J. Chem. Eng. Data, 27 (1982), 358363 | DOI