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Journal of Engineering Mathematics
Erschienen in: Journal of Engineering Mathematics 1/2019

11.04.2019

Smoothed particle hydrodynamics simulation: a tool for accurate characterization of microfluidic devices

verfasst von: Edgar Andres Patino-Narino, Hugo Sakai Idagawa, Daniel Silva de Lara, Raluca Savu, Stanislav A. Moshkalev, Luiz Otavio Saraiva Ferreira

Erschienen in: Journal of Engineering Mathematics | Ausgabe 1/2019

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Abstract

This work presents a two-dimensional (2D) model employing the mesh-free smoothed particle hydrodynamics (SPH) method for accurate characterization of microdevices. The simulator was validated by comparing analytical and numerical results from literature with the cases of Poiseuille, Couette, and biphase flow in microfluidic devices. Finally, a test case using two immiscible fluids in a cross-like device with three inputs and one output was computed. This device produces droplets in a flow-focusing configuration. The simulations produced similar flows when compared with theoretical, numerical, and experimental data reported in literature. When handling two liquid phases, such as water and oil, properties such as surface tension must be taken into account. These properties can be well modeled using the continuum surface force method, commonly applied for modeling capillarity in microdevice and microliquid applications. Thus, the implementation of the SPH method demonstrated that it represents a novel and promising alternative for simulation of emulsion formation in microfluidic devices.
Vorheriger Artikel Numerical modelling of steady detonations with the CREST reactive burn model

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Literatur
1.
Nisar A, Afzulpurkar N, Mahaisavariya B, Tuantranont A (2008) MEMS-based micropumps in drug delivery and biomedical applications. Sens Actuators B 130(2):917–942CrossRef
2.
Cheng J, Kricka L, Sheldon E, Wilding P (1998) Sample preparation in microstructured devices. Microsyst Technol Chem Life Sci 194:215–231CrossRef
3.
Filipovic N, Ivanovic M, Kojic M (2008) A comparative numerical study between dissipative particle dynamics and smoothed particle hydrodynamics when applied to simple unsteady flows in microfluidics. Microfluid Nanofluid 7(2):227–235CrossRef
4.
Gifford SC, Spillane AM, Vignes SM, Shevkoplyas SS (2014) Controlled incremental filtration: a simplified approach to design and fabrication of high-throughput microfluidic devices for selective enrichment of particles. Lab Chip 14(23):4496–505CrossRef
5.
Ehrfeld W (2003) Electrochemistry and microsystems. Electrochim Acta 48(20–22):2857–2868CrossRef
6.
Xia H, Strachan BC, Gifford SC, Shevkoplyas SS (2016) A high-throughput microfluidic approach for 1000-fold leukocyte reduction of platelet-rich plasma. Sci Rep 6(1):35,943CrossRef
7.
Andersson H, van den Berg A (2004) Microtechnologies and nanotechnologies for single-cell analysis. Curr Opin Biotechnol 15(1):44–9CrossRef
8.
Dong B, Chen S, Zhou F, Chan CHY, Yi J, Zhang HF, Sun C (2016) Real-time functional analysis of inertial microfluidic devices via spectral domain optical coherence tomography. Sci Rep 6(1):33,250CrossRef
9.
Berthier J, Silberzan P (2010) Microfluidics for biotechnology. Artech House
10.
Shah RK, Shum HC, Rowat AC, Lee D, Agresti JJ, Utada AS, Ly Chu, Kim W, Fernandez-Nieves A, Martinez CJ, Weitz DA, Kim JW (2008) Designing emulsions using microfluidics. Mater Today 11(4):18–27CrossRef
11.
Squires TM, Quake SR (2005) Microfluidics: fluid physics at the nanoliter scale. Rev Mod Phys 77(3):977–1026CrossRef
12.
Amini H, Lee W, Di Carlo D (2014) Inertial microfluidic physics. Lab Chip 14(15):2739CrossRef
13.
Kunstmann-Olsen C, Hoyland JD, Rubahn HG (2012) Influence of geometry on hydrodynamic focusing and long-range fluid behavior in PDMS microfluidic chips. Microfluid Nanofluid 12(5):795–803CrossRef
14.
Hetsroni G, Mosyak A, Pogrebnyak E, Yarin LP (2005) Fluid flow in micro-channels. Int J Heat Mass Transf 48(10):1982–1998CrossRef
15.
Spielman LGS (1968) Improving resolution in coulter counting by hydrodynamic focusing. J Colloid Interface Sci 26(2):175–182CrossRef
16.
de Mello AJ, Edel JB (2007) Hydrodynamic focusing in microstructures: Improved detection efficiencies in subfemtoliter probe volumes. J Appl Phys 101(8):084,903CrossRef
17.
Shen M, Yamahata C, Gijs MAM (2008) A high-performance compact electromagnetic actuator for a PMMA ball-valve micropump. J Micromech Microeng 18(2):025,031CrossRef
18.
Bourouina T, Grandchamp J (1996) Modeling micropumps with electrical equivalent networks. J Micromech Microeng 6(4):398–404CrossRef
19.
Jamalabadi MYA, DaqiqShirazi M, Kosar A, Shadloo MS (2017) Effect of injection angle, density ratio, and viscosity on droplet formation in a microfluidic T-junction. Theor Appl Mech Lett 7(4):243–251CrossRef
20.
Clift RR, Grace JR, Weber ME (1978) Bubbles, drops and particles. Academic Press, New York
21.
Bruus H (2008) Theoretical microfluidics. Oxford University Press, Oxford
22.
Zhang A, Ming F, Cao X (2014) Total Lagrangian particle method for the large-deformation analyses of solids and curved shells. Acta Mech 225(1):253–275MathSciNetMATHCrossRef
23.
Taeibi-Rahni M, Karbaschi M, Miller R (2015) Computational methods for complex liquid-fluid interfaces. CRC Press, Boca RatonCrossRef
24.
25.
26.
Shadloo M, Oger G, Le Touzé D (2016) Smoothed particle hydrodynamics method for fluid flows, towards industrial applications: motivations, current state, and challenges. Comput Fluids 136:11–34MathSciNetMATHCrossRef
27.
Zhang ZL, Liu MB (2018) A decoupled finite particle method for modeling incompressible flows with free surfaces. Appl Math Model 60:606–633MathSciNetCrossRef
28.
Bonet J, Kulasegaram S (2000) Correction and stabilization of smooth particle hydrodynamics methods with applications in metal forming simulations. Int J Numer Methods Eng 47(6):1189–1214MATHCrossRef
29.
Liu MB, Liu GR (2016) Particle methods for multi-scale and multi-physics. World Scientific, SingaporeMATHCrossRef
30.
Liu L, Yan H, Zhao G, Zhuang J (2016) Experimental studies on the terminal velocity of air bubbles in water and glycerol aqueous solution. Exp Therm Fluid Sci 78:254–265CrossRef
31.
Español P, Revenga M (2003) Smoothed dissipative particle dynamics. Phys Rev E 67(2):1–12CrossRef
32.
Zhi-bin W, Rong C, Hong W, Qiang L, Xun Z, Shu-zhe L (2016) An overview of smoothed particle hydrodynamics for simulating multiphase flow. Appl Math Model 40:9625–9655MathSciNetCrossRef
33.
Tartakovsky A, Meakin P (2005) Modeling of surface tension and contact angles with smoothed particle hydrodynamics. Phys Rev E 72(2):026,301CrossRef
34.
Vázquez-Quesada A, Ellero M, Español P (2012) A SPH-based particle model for computational microrheology. Microfluid Nanofluid 13(2):249–260CrossRef
35.
Müller K, Fedosov DA, Gompper G (2015) Smoothed dissipative particle dynamics with angular momentum conservation. J Comput Phys 281:301–315MathSciNetMATHCrossRef
36.
Fedosov DA, Peltomäki M, Gompper G (2014) Deformation and dynamics of red blood cells in flow through cylindrical microchannels. Soft Matter 10(24):4258–4267CrossRef
37.
Karunasena HCP, Senadeera W, Gu YT, Brown RJ (2014) A coupled SPH-DEM model for micro-scale structural deformations of plant cells during drying. Appl Math Model 38(15–16):3781–3801MATHCrossRef
38.
Chen JK, Beraun JE, Carney TC (1999) A corrective smoothed particle method for boundary value problems in heat conduction. Int J Numer Methods Eng 46(2):231–252MATHCrossRef
39.
Liu WK, Jun S, Li S, Adee J, Belytschko T (1995) Reproducing kernel particle methods for structural dynamics. Int J Numer Methods Eng 38(10):1655–1679MathSciNetMATHCrossRef
40.
Tartakovsky AM, Meakin P, Scheibe TD, Wood BD (2007) A smoothed particle hydrodynamics model for reactive transport and mineral precipitation in porous and fractured porous media. Water Resour Res 43(5):1–18CrossRef
41.
Nugent S, Posch H (2000) Liquid drops and surface tension with smoothed particle applied mechanics. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Top 62(4 Pt A):4968–75
42.
Morris JP (2000) Simulating surface tension with smoothed particle hydrodynamics. Int J Numer Methods Fluids 33(3):333–353MATHCrossRef
43.
Wu J, Yu ST, Bn Jiang (1998) Simulation of two-fluid flows by the least-squares finite element method using a continuum surface tension model. Int J Numer Methods Eng 42(4):583–600CrossRef
44.
Liu MB, Liu GR (2004) Meshfree particle simulation of micro channel flows with surface tension. Comput Mech 35(5):332–341MATHCrossRef
45.
Liu MB, Liu GR (2010) Smoothed particle hydrodynamics (SPH): an overview and recent developments. Arch Comput Methods Eng 17(1):25–76MathSciNetMATHCrossRef
46.
Tartakovsky AM, Panchenko A (2016) Pairwise force smoothed particle hydrodynamics model for multiphase flow: surface tension and contact line dynamics. J Comput Phys 305:1119–1146MathSciNetMATHCrossRef
47.
Violeau D, Rogers BD (2016) Smoothed particle hydrodynamics (SPH) for free-surface flows: past, present and future. J Hydraul Res 1689(January):1–26CrossRef
48.
Mokos A, Rogers BD, Stansby PK, Dominguez JM (2015) Multi-phase SPH modelling of violent hydrodynamics on GPUs. Comput Phys Commun 196:304–316CrossRef
49.
Grenier N, Le Touze D, Colagrossi A, Antuono M, Colicchio G (2013) Viscous bubbly flows simulation with an interface SPH model. Ocean Eng 69:88–102CrossRef
50.
Xu X, Ouyang J, Jiang T, Li Q (2014) Numerical analysis of the impact of two droplets with a liquid film using an incompressible SPH method. J Eng Math 85(1):35–53MathSciNetMATHCrossRef
51.
Shadloo MS, Yildiz M (2011) Numerical modeling of Kelvin–Helmholtz instability using smoothed particle hydrodynamics. Int J Numer Methods Eng 87(10):988–1006MathSciNetMATHCrossRef
52.
Koukouvinis PK, Anagnostopoulos JS, Papantonis DE (2013) Simulation of 2D wedge impacts on water using the SPH-ALE method. Acta Mech 224(11):2559–2575MATHCrossRef
53.
Shadloo MS, Zainali A, Yildiz M (2013) Simulation of single mode Rayleigh–Taylor instability by SPH method. Comput Mech 51(5):699–715MathSciNetMATHCrossRef
54.
Adami S, Hu X, Adams N (2010) A new surface-tension formulation for multi-phase SPH using a reproducing divergence approximation. J Comput Phys 229(13):5011–5021MATHCrossRef
55.
Hua J, Stene JF, Lin P (2008) Numerical simulation of 3D bubbles rising in viscous liquids using a front tracking method. J Comput Phys 227(6):3358–3382MathSciNetMATHCrossRef
56.
57.
Szewc K, Pozorski J, Tanire A (2011) Modeling of natural convection with smoothed particle hydrodynamics: non-Boussinesq formulation. Int J Heat Mass Transf 54(23–24):4807–4816MATHCrossRef
58.
Molteni D, Colagrossi A (2009) A simple procedure to improve the pressure evaluation in hydrodynamic context using the SPH. Comput Phys Commun 180(6):861–872MathSciNetMATHCrossRef
59.
Oger G, Marrone S, Le Touzé D, de Leffe M (2016) SPH accuracy improvement through the combination of a quasi-Lagrangian shifting transport velocity and consistent ALE formalisms. J Comput Phys 313:76–98MathSciNetMATHCrossRef
60.
Szewc K, Pozorski J, Minier JP (2013) Simulations of single bubbles rising through viscous liquids using smoothed particle hydrodynamics. Int J Multiph Flow 50:98–105CrossRef
61.
Adami S, Hu XY, Adams NA (2013) A transport-velocity formulation for smoothed particle hydrodynamics. J Comput Phys 241:292–307MathSciNetMATHCrossRef
62.
Anderson JDJ (1995) Computational fluid dynamics: the basics with applications. McGraw-Hill, New York
63.
Morris JP, Fox PJ, Zhu Y (1997) Modeling low reynolds number incompressible flows using SPH. J Comput Phys 136(1):214–226MATHCrossRef
64.
Batchelor GK, Young AD (1968) An introduction to fluid mechanics, vol 35. Cambridge University Press, Cambridge
65.
66.
Adami S, Hu XY, Adams N (2012) A generalized wall boundary condition for smoothed particle hydrodynamics. J Comput Phys 231(21):7057–7075MathSciNetCrossRef
67.
Hu XY, Adams NA (2007) An incompressible multi-phase SPH method. J Comput Phys 227(1):264–278MATHCrossRef
68.
Grenier N, Antuono M, Colagrossi A, Le Touzé D, Alessandrini B (2009) An Hamiltonian interface SPH formulation for multi-fluid and free surface flows. J Comput Phys 228(22):8380–8393MathSciNetMATHCrossRef
69.
Shadloo MS, Rahmat A, Yildiz M (2013) A smoothed particle hydrodynamics study on the electrohydrodynamic deformation of a droplet suspended in a neutrally buoyant Newtonian fluid. Comput Mech 52(3):693–707MathSciNetMATHCrossRef
70.
Klostermann J, Schaake K, Schwarze R (2013) Numerical simulation of a single rising bubble by VOF with surface compression. Int J Numer Methods Fluids 71(8):960–982MathSciNetCrossRef
71.
Ming FR, Sun PN, Zhang AM (2017) Numerical investigation of rising bubbles bursting at a free surface through a multiphase SPH model. Meccanica 52(11–12):2665–2684MathSciNetCrossRef
72.
Saitoh TR, Makino J (2013) A density-independent formulation of smoothed particle hydrodynamics. Astrophys J 768(1):44CrossRef
73.
Gomez-Gesteira M, Rogers BD, Ra Dalrymple, Crespo AJ (2010) State-of-the-art of classical SPH for free-surface flows. J Hydraul Res 48(sup1):6–27CrossRef
74.
75.
Zhang A, Sun P, Ming F (2015) An SPH modeling of bubble rising and coalescing in three dimensions. Comput Methods Appl Mech Eng 294(145):189–209MathSciNetMATHCrossRef
76.
Sadeghi R, Shadloo MS, Hopp-Hirschler M, Hadjadj A, Nieken U (2018) Three-dimensional lattice Boltzmann simulations of high density ratio two-phase flows in porous media. Comput Math Appl 75(7):2445–2465MathSciNetMATHCrossRef
77.
Yeganehdoust F, Yaghoubi M, Emdad H, Ordoubadi M (2016) Numerical study of multiphase droplet dynamics and contact angles by smoothed particle hydrodynamics. Appl Math Model 40(19–20):8493–8512MathSciNetCrossRef
78.
79.
Dalziel SB (2001) Toy models for Rayleigh–Taylor instability. In: 8th international workshop on the physics of compressible turbulent mixing. Lawrence Livermore National Laboratory Publication, UCRL-MI-146350, p Paper T10
80.
Goncharov VN (2002) Analytical model of nonlinear, single-mode, classical Rayleigh–Taylor instability at arbitrary Atwood numbers. Phys Rev Lett 88(13):134,502CrossRef
81.
Abarzhi S, Nishihara K, Glimm J (2003) Rayleigh–Taylor and Richtmyer–Meshkov instabilities for fluids with a finite density ratio. Phys Lett A 317(5–6):470–476MATHCrossRef
82.
Amaya-Bower L, Lee T (2010) Single bubble rising dynamics for moderate Reynolds number using Lattice Boltzmann Method. Comput Fluids 39(7):1191–1207MATHCrossRef
83.
Zhang Q, Guo W (2015) Universality of finger growth in two-dimensional Rayleigh–Taylor and Richtmyer–Meshkov instabilities with all density ratios. J Fluid Mech 786:47–61MathSciNetMATHCrossRef
84.
Abarzhi S (2003) The effect of the density ratio on the nonlinear dynamics of the unstable fluid interface. In: Center for turbulence research annual research briefs, pp 251–260
85.
Ramaprabhu P, Dimonte G (2005) Single-mode dynamics of the Rayleigh–Taylor instability at any density ratio. Phys Rev E Stat Nonlinear Soft Matter Phys 71(3):1–9CrossRef
86.
Choi S, Sohn SI (2017) Multi-harmonic models for bubble evolution in the Rayleigh–Taylor instability. J Korean Math Soc 54(2):663–673MathSciNetMATHCrossRef
87.
Monaghan JJ, Rafiee A (2013) A simple SPH algorithm for multi-fluid flow with high density ratios. Int J Numer Methods Fluids 71(5):537–561MathSciNetCrossRef
88.
Hysing S, Turek S, Kuzmin D, Parolini N, Burman E, Ganesan S, Tobiska L (2009) Quantitative benchmark computations of two-dimensional bubble dynamics. Int J Numer Methods Fluids 60:1259–1288MathSciNetMATHCrossRef
89.
Litvinov S, Ellero M, Hu X, Adams N (2010) A splitting scheme for highly dissipative smoothed particle dynamics. J Comput Phys 229(15):5457–5464MATHCrossRef
90.
Taylor GI (1934) The formation of emulsions in definable fields of flow. Proc R Soc Lond A: Math Phys Eng Sci 146(858):501–523CrossRef
91.
Cheng L, Ribatski G, Thome JR (2008) Two-phase flow patterns and flow-pattern maps: fundamentals and applications. Appl Mech Rev 61(050):802
92.
Dutta R (2008) Fundamentals of biochemical engineering. Ane Books India, New DelhiCrossRef
93.
Shadloo MS, Zainali A, Sadek SH, Yildiz M (2011) Improved incompressible smoothed particle hydrodynamics method for simulating flow around bluff bodies. Comput Methods Appl Mech Eng 200(9–12):1008–1020MathSciNetMATHCrossRef
94.
Zhou L, Cai ZW, Zong Z, Chen Z (2016) An SPH pressure correction algorithm for multiphase flows with large density ratio. Int J Numer Methods Fluids 81(12):765–788MathSciNetCrossRef
95.
Duan G, Koshizuka S, Chen B (2015) A contoured continuum surface force model for particle methods. J Comput Phys 298:280–304MathSciNetMATHCrossRef
96.
Breinlinger T, Polfer P, Hashibon A, Kraft T (2013) Surface tension and wetting effects with smoothed particle hydrodynamics. J Comput Phys 243:14–27MATHCrossRef
97.
Metadaten
Titel
Smoothed particle hydrodynamics simulation: a tool for accurate characterization of microfluidic devices
verfasst von
Edgar Andres Patino-Narino
Hugo Sakai Idagawa
Daniel Silva de Lara
Raluca Savu
Stanislav A. Moshkalev
Luiz Otavio Saraiva Ferreira
Publikationsdatum
11.04.2019
Verlag
Springer Netherlands
Erschienen in
Journal of Engineering Mathematics / Ausgabe 1/2019
Print ISSN: 0022-0833
Elektronische ISSN: 1573-2703
DOI
https://doi.org/10.1007/s10665-019-09998-2

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