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Simplified level set discrete element modeling of particle suspension flows in microfluidics: clogging statistics controlled by particle friction and shape

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Abstract

Particulate precipitation, deposition, and accumulation, including the formation of salt and mineral crystals, frequently occur in a wide range of subsurface applications involving multiphase flow through porous media. Consequently, there has been a considerable emphasis on researching and understanding these phenomena. However, modeling particle dynamics in flows through porous media with low Reynolds numbers has always been a challenging problem as it requires resolving fluid flow around the moving solid particles, the solid–solid contact mechanics, and the solid–fluid coupling. The discrete element method coupled with fluid solvers has been widely used to study particle-laden flow. Most fluid-solid numerical schemes involve solving the full or generalized Navier–Stokes equations, which often yields relatively accurate fluid-solid interactions at the cost of computation time and particle shape limitations. In this paper, we present a novel method to study mono-layered particle-laden flow by coupling the level set discrete element method (LS-DEM) with Hele-Shaw flow model. Utilizing the Hele-Shaw flow model allows us to simplify flow computation, while incorporating LS-DEM enables the simulation of arbitrarily shaped particles. Cases of mono-layered particle flow through a simplified micromodel geometry are studied and validated against published experimental results. Moreover, the effects of particle friction and shape on clogging statistics are investigated.

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References

  1. Bizmark, Navid, Schneider, Joanna, Priestley, Rodney D., Datta, Sujit S.: Multiscale dynamics of colloidal deposition and erosion in porous media. Sci. Adv. 6(46), eabc2530 (2020)

    Article  ADS  Google Scholar 

  2. Cundall, P.A.: Formulation of a three-dimensional distinct element model-Part I. A scheme to detect and represent contacts in a system composed of many polyhedral blocks. Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 25(3), 107–116 (1988)

    Article  Google Scholar 

  3. de Macedo, Robert, Buarque, Andò, Edward, Joy, Shilpa, Viggiani, Gioacchino, Pal, Kumar, Raj, Parker, Joseph, Andrade, José E.: Unearthing real-time 3d ant tunneling mechanics. Proc. Natl. Acad. Sci. 118(36), e2102267118 (2021)

    Article  Google Scholar 

  4. Di Renzo, Alberto, Maio, Francesco Paolo Di.: Comparison of contact-force models for the simulation of collisions in dem-based granular flow codes. Chem. Eng. Sci. 59(3), 525–541 (2004)

    Article  Google Scholar 

  5. Dincau, Brian, Dressaire, Emilie, Sauret, Alban: Clogging: the self-sabotage of suspensions. Phys. Today 76(2), 24–30 (2023)

    Article  Google Scholar 

  6. Dincau, Brian, Tang, Connor, Dressaire, Emilie, Sauret, Alban: Clog mitigation in a microfluidic array via pulsatile flows. Soft Matter 18, 1767–1778 (2022)

    Article  ADS  Google Scholar 

  7. Dressaire, Emilie, Sauret, Alban: Clogging of microfluidic systems. Soft Matter 13, 37–48 (2017)

    Article  ADS  Google Scholar 

  8. Galindo-Torres, S.A.: A coupled discrete element lattice Boltzmann method for the simulation of fluid-solid interaction with particles of general shapes. Comput. Methods Appl. Mech. Eng. 265, 107–119 (2013)

    Article  ADS  MathSciNet  Google Scholar 

  9. Harmon, John M., Arthur, Daniel, Andrade, José E.: Level set splitting in DEM for modeling breakage mechanics. Comput. Methods Appl. Mech. Eng. 365, 112961 (2020)

    Article  ADS  MathSciNet  Google Scholar 

  10. Harmon, John M., Karapiperis, Konstantinos, Li, Liuchi, Moreland, Scott, Andrade, José E.: Modeling connected granular media: particle bonding within the level set discrete element method. Comput. Methods Appl. Mech. Eng. 373, 113486 (2021)

    Article  ADS  MathSciNet  Google Scholar 

  11. Johnson, K.L.: Contact Mechanics. Cambridge University Press, Cambridge (1985)

    Book  Google Scholar 

  12. Kawamoto, Reid, Andò, Edward, Viggiani, Gioacchino, Andrade, José E.: Level set discrete element method for three-dimensional computations with triaxial case study. J. Mech. Phys. Solids 91, 1–13 (2016)

    Article  ADS  MathSciNet  Google Scholar 

  13. Kloss, Christoph, Goniva, Christoph, Hager, Alice, Amberger, Stefan, Pirker, Stefan: Models, algorithms and validation for opensource DEM and CFD-DEM. Progress Comput. Fluid Dyn. Int. J. 12(2–3), 140–152 (2012)

    Article  MathSciNet  Google Scholar 

  14. Kuerten, J.G.M.: Point-particle DNS and LES of particle-laden turbulent flow—A state-of-the-art review. Flow Turbul. Combust 97, 689–713 (2016)

    Article  Google Scholar 

  15. Lim, Keng-Wit., Andrade, José E.: Granular element method for three-dimensional discrete element calculations. Int. J. Numer. Anal. Meth. Geomech. 38(2), 167–188 (2014)

    Article  Google Scholar 

  16. Material properties of Polystyrene and Poly(methyl methacrylate) (PMMA) microspheres. Technical report, Bangs Laboratories, Inc., 2015

  17. Mindlin, R.D., Deresiewicz, H.: Elastic spheres in contact under varying oblique forces. J. Appl. Mech. 20(3), 327–344 (2021)

    Article  MathSciNet  Google Scholar 

  18. Miri, Rohaldin, Hellevang, Helge: Salt precipitation during CO2 storage-a review. Int. J. Greenhouse Gas Control 51, 136–147 (2016)

    Article  Google Scholar 

  19. Moncada, Rigoberto, Gupta, Mukund, Thompson, Andrew, Andrade, Jose E.: Level set discrete element method for modeling sea ice floes. Comput. Methods Appl. Mech. Eng. 406, 115891 (2023)

    Article  ADS  MathSciNet  Google Scholar 

  20. Qiang, Yuhao, Sissoko, Abdoulaye, Liu, Zixiang L., Dong, Ting, Zheng, Fuyin, Kong, Fang, Higgins, John M., Karniadakis, George E., Buffet, Pierre A., Suresh, Subra, Dao, Ming: Microfluidic study of retention and elimination of abnormal red blood cells by human spleen with implications for sickle cell disease. Proc. Natl. Acad. Sci. 120(6), e2217607120 (2023)

    Article  Google Scholar 

  21. Ramkrishna, Doraiswami, Mahoney, Alan W.: Population balance modeling. Promise for the future. Chem. Eng. Sci. 57(4), 595–606 (2002)

    Article  Google Scholar 

  22. Sahimi, M., Imdakm, A.O., Hydrodynamics of particulate motion in porous media: Hydrodynamics of particulate motion in porous media. Phys. Rev. Lett. 66, 1169–1172 (1991)

    Article  ADS  Google Scholar 

  23. Song, C.B., Park, H.S., Lee, K.W.: Experimental study of filter clogging with monodisperse PSL particles. Powder Technol. 163(3), 152–159 (2006)

    Article  Google Scholar 

  24. Sun, B.H.: Hertz elastic dynamics of two colliding elastic spheres. Results Phys. 30, 104870 (2021)

    Article  Google Scholar 

  25. Tsuji, Y., Kawaguchi, T., Tanaka, T.: Discrete particle simulation of two-dimensional fluidized bed. Powder Technol. 77(1), 79–87 (1993)

    Article  Google Scholar 

  26. Vani, Nathan, Escudier, Sacha, Sauret, Alban: Influence of the solid fraction on the clogging by bridging of suspensions in constricted channels. Soft Matter 18, 6987–6997 (2022)

    Article  ADS  Google Scholar 

  27. Wang, Yifan, Li, Liuchi, Hofmann, Douglas, Andrade, José, Daraio, Chiara: Structured fabrics with tunable mechanical properties. Nature 596, 238–243 (2021)

    Article  ADS  Google Scholar 

  28. Wyss, Hans M., Blair, Daniel L., Morris, Jeffrey F., Stone, Howard A., Weitz, David A.: Mechanism for clogging of microchannels. Phys. Rev. E 74, 061402 (2006)

    Article  ADS  Google Scholar 

  29. Xu, B.H., Yu, A.B.: Numerical simulation of the gas-solid flow in a fluidized bed by combining discrete particle method with computational fluid dynamics. Chem. Eng. Sci. 52(16), 2785–2809 (1997)

    Article  Google Scholar 

  30. Xuxin, Tu., Andrade, José E.: Criteria for static equilibrium in particulate mechanics computations. Int. J. Numer. Meth. Eng. 75(13), 1581–1606 (2008)

    Article  Google Scholar 

  31. Zhang, Fengshou, Wang, Tuo, Liu, Fang, Peng, Ming, Furtney, Jason, Zhang, Limin: Modeling of fluid-particle interaction by coupling the discrete element method with a dynamic fluid mesh: implications to suffusion in gap-graded soils. Comput. Geotech. 124, 103617 (2020)

    Article  Google Scholar 

  32. Zhou, Ziran, Andreini, Marco, Sironi, Luca, Lestuzzi, Pierino, Andò, Edward, Dubois, Frédéric., Bolognini, Davide, Dacarro, Filippo, Andrade, José E.: Discrete structural systems modeling: benchmarking of LS-DEM and LMGC90 with seismic experiments. J. Eng. Mech. 149(12), 04023097 (2023)

    Article  Google Scholar 

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Funding

JEA and ZZ would like to acknowledge the support from the National Science Foundation (NSF) under award number CMMI-2033779. JEA, RM and JU would like to acknowledge the support from the U.S. Army Research Office under grant number W911NF-19-1-0245. NJ and XF would like to acknowledge the support from the American Chemical Society (ACS) Petroleum Research Fund Doctoral New Investigator Grant under grant number 66867-DNI9.

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Authors and Affiliations

  1. California Institute of Technology, Pasadena, USA

    Ziran Zhou, Rigoberto Moncada, Nathan Jones, Jacinto Ulloa, Xiaojing Fu & José E. Andrade

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  1. Ziran Zhou
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  2. Rigoberto Moncada
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  3. Nathan Jones
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  4. Jacinto Ulloa
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  5. Xiaojing Fu
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  6. José E. Andrade
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Correspondence to José E. Andrade.

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Zhou, Z., Moncada, R., Jones, N. et al. Simplified level set discrete element modeling of particle suspension flows in microfluidics: clogging statistics controlled by particle friction and shape. Granular Matter 26, 39 (2024). https://doi.org/10.1007/s10035-024-01405-7

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