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Mesoscopic Simulation Study of Wall Roughness Effects in Micro-channel Flows of Dense Emulsions

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Abstract

We study the Poiseuille flow of a soft-glassy material above the jamming point, where the material flows like a complex fluid with Herschel–Bulkley rheology. Microscopic plastic rearrangements and the emergence of their spatial correlations induce cooperativity flow behavior whose effect is pronounced in presence of confinement. With the help of lattice Boltzmann numerical simulations of confined dense emulsions, we explore the role of geometrical roughness in providing activation of plastic events close to the boundaries. We probe also the spatial configuration of the fluidity field, a continuum quantity which can be related to the rate of plastic events, thereby allowing us to establish a link between the mesoscopic plastic dynamics of the jammed material and the macroscopic flow behaviour.

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Notes

  1. For the Voronoi analysis we used the tools included in the voro++ libraries available at http://math.lbl.gov/voro++/.

References

  1. Mason, T.G., Bibette, J., Weitz, D.: Yielding and flow of monodisperse emulsions. J. Colloid Interface Sci. 179, 439–448 (1996)

    Article  Google Scholar 

  2. Katgert, G., Tighe, B.P., Van Hecke, M.: The jamming perspective on wet foams. Soft Matter 9, 9739 (2013)

    Article  Google Scholar 

  3. Kamrin, K., Koval, G.: Nonlocal constitutive relation for steady granular flow. Phys. Rev. Lett. 108, 178301 (2012)

    Article  ADS  Google Scholar 

  4. Larson, R.G.: The Structure and Rheology of Complex Fluids. Oxford University Press, New York (1999)

    Google Scholar 

  5. Goyon, J., Colin, A., Ovarlez, G., Ajdari, A., Bocquet, L.: Spatial cooperativity in soft glassy flows. Nature 454, 84–87 (2008)

    Article  ADS  Google Scholar 

  6. Goyon, J., Colin, A., Bocquet, L.: How does a soft glassy material flow: finite size effects, nonlocal rheology, and flow cooperativity. Soft Matter 6, 2668–2678 (2010)

    Article  ADS  Google Scholar 

  7. Jop, P., Mansard, V., Chaudhuri, P., Bocquet, L., Colin, A.: Microscale rheology of a soft glassy material close to yielding. Phys. Rev. Lett. 108, 148301 (2012)

    Article  ADS  Google Scholar 

  8. Katgert, G., Tighe, B.P., Möbius, M.E., Van Hecke, M.: Couette flow of two-dimensional foams. Europhys. Lett. 90, 54002 (2010)

    Article  ADS  Google Scholar 

  9. Bocquet, L., Colin, A., Ajdari, A.: Kinetic theory of plastic flow in soft glassy materials. Phys. Rev. Lett. 103, 036001 (2009)

    Article  ADS  Google Scholar 

  10. Geraud, B., Bocquet, L., Barentin, C.: Confined flows of a polymer microgel. Eur. Phys. J. E 36, 30 (2013)

    Article  Google Scholar 

  11. Amon, A., Nguyen, V.B., Bruand, A., Crassous, J., Clément, E.: Hot spots in an athermal system. Phys. Rev. Lett. 108, 135502 (2012)

    Article  ADS  Google Scholar 

  12. Mansard, V., Colin, A., Chaudhuri, P., Bocquet, L.: A molecular dynamics study of non-local effects in the flow of soft jammed particles. Soft Matter 9, 7489–7500 (2013)

    Article  ADS  Google Scholar 

  13. Dollet, B., Scagliarini, A., Sbragaglia, M.: Plastic flow of foams and emulsions in a channel. arXiv:1406.2686

  14. Mansard, V., Colin, A., Bocquet, L.: Boundary conditions for soft glassy flows: slippage and surface fluidization. Soft Matter 10, 6984–6989 (2014)

    Article  ADS  Google Scholar 

  15. Benzi, R., Sbragaglia, M., Succi, S., Bernaschi, M., Chibbaro, S.: Mesoscopic lattice Boltzmann modeling of soft-glassy systems: theory and simulations. J. Chem. Phys. 131, 104903 (2009)

    Article  ADS  Google Scholar 

  16. Benzi, R., Bernaschi, M., Sbragaglia, M., Succi, S.: Herschel-Bulkley rheology from lattice kinetic theory of soft glassy materials. Europhys. Lett. 91, 14003 (2010)

    Article  ADS  Google Scholar 

  17. Sbragaglia, M., Benzi, R., Bernaschi, M., Succi, S.: The emergence of supramolecular forces from lattice kinetic models of non-ideal fluids: applications to the rheology of soft glassy materials. Soft Matter 8, 10773–10782 (2012)

    Article  ADS  Google Scholar 

  18. Benzi, R., Bernaschi, M., Sbragaglia, M., Succi, S.: Rheological properties of soft-glassy flows from hydro-kinetic simulations. Europhys. Lett. 104, 48006 (2013)

    Article  ADS  Google Scholar 

  19. Sbragaglia, M., Benzi, R., Biferale, L., Succi, S., Sugiyama, K., Toschi, F.: Generalized lattice Boltzmann method with multirange pseudopotential. Phys. Rev. E 75, 026702 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  20. Falcucci, G., Bella, G., Chiatti, G., Chibbaro, S., Sbragaglia, M., Succi, S.: Lattice Boltzmann models with mid-range interactions. Commun. Comput. Phys. 2, 1071–1084 (2007)

    Google Scholar 

  21. Bastea, S., Esposito, R.: Hydrodynamics of binary fluid phase segregation. Phys. Rev. Lett. 89, 235701 (2002)

    Article  ADS  Google Scholar 

  22. Shan, X., Chen, H.: Lattice Boltzmann Model for simulating flows with multiple phases and components. Phys. Rev. E 47, 1815 (1993)

    Article  ADS  Google Scholar 

  23. Seul, M., Andelman, D.: Domain shapes and patterns: the phenomenology of modulated phases. Science 267, 476–483 (1995)

    Article  ADS  Google Scholar 

  24. Sbragaglia, M., Shan, X.: Consistent pseudopotential interactions in lattice Boltzmann models. Phys. Rev. E 84, 036703 (2011)

    Article  ADS  Google Scholar 

  25. Shan, X.: Pressure tensor calculation in a class of nonideal gas lattice Boltzmann models. Phys. Rev. E 77, 066702 (2008)

    Article  ADS  Google Scholar 

  26. Sbragaglia, M., Belardinelli, D.: Interaction pressure tensor for a class of multicomponent lattice Boltzmann models. Phys. Rev. E 88, 013306 (2013)

    Article  ADS  Google Scholar 

  27. Wolf-Gladrow, D.: Lattice-Gas Cellular Automata and Lattice Boltzmann Models. Springer, New York (2000)

    Book  MATH  Google Scholar 

  28. Scagliarini, A., Sbragaglia, M., Bernaschi, M.: unpublished

  29. Bernaschi, M., Benzi, R., Rossi, L., Sbragaglia, M., Succi, S.: Graphics processing unit implementation of lattice Boltzmann models for flowing soft systems. Phys. Rev. E 80, 066707 (2009)

    Article  ADS  Google Scholar 

  30. Weaire, D., Hutzler, S.: The Physics of Foams. Clarendon Press, Oxford (1999)

    Google Scholar 

  31. Rycroft, C.H., Grest, G.S., Landry, J.W., Bazant, M.Z.: Analysis of granular flow in a pebble-bed nuclear reactor. Phys. Rev. E 74, 021306 (2006)

    Article  ADS  Google Scholar 

  32. Sbragaglia, M., Prosperetti, A.: Effective velocity boundary condition at a mixed slip surface. J. Fluid. Mech. 578, 435–451 (2007)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  33. Benzi, R., Sbragaglia, M., Perlekar, P., Bernaschi, M., Succi, S., Toschi, F.: Direct evidence of plastic events and dynamic heterogeneities in soft-glasses. Soft Matter 10, 4615–4624 (2014)

    Article  ADS  Google Scholar 

  34. Einzel, D., Panzer, P., Liu, M.: Boundary-condition for fluid flow—curved or rough surfaces. Phys. Rev. Lett. 64, 2269 (1990)

    Article  ADS  Google Scholar 

  35. Panzer, P., Liu, M., Einzel, D.: The effects of boundary curvature on hydrodynamic fluid flow—calculation of slip lengths. Int. J. Mod. Phys. B 6, 3251 (1992)

    Article  ADS  Google Scholar 

  36. Varagnolo, S., Ferraro, D., Fantinel, P., Pierno, M., Mistura, G., Amati, G., Biferale, L., Sbragaglia, M.: Stick-slip sliding of water drops on chemically heterogeneous surfaces. Phys. Rev. Lett. 111, 066101 (2013)

    Article  ADS  Google Scholar 

  37. Seemann, R., Brinkmann, M., Pfohl, T., Herminghaus, S.: Droplet based microfluidics. Rep. Prog. Phys. 75, 016601 (2012)

    Article  ADS  Google Scholar 

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Acknowledgments

The authors kindly acknowledge funding from the European Research Council under the European Community’s Seventh Framework Programme (FP7/2007-2013)/ERC Grant Agreement No. 279004.

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Authors and Affiliations

  1. Department of Physics and INFN, University of “Tor Vergata”, Via della Ricerca Scientifica 1, 00133, Rome, Italy

    Andrea Scagliarini & Mauro Sbragaglia

  2. Istituto per le Applicazioni del Calcolo CNR, Via dei Taurini 19, 00185, Rome, Italy

    Massimo Bernaschi

Authors
  1. Andrea Scagliarini
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  2. Mauro Sbragaglia
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  3. Massimo Bernaschi
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Correspondence to Andrea Scagliarini.

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Scagliarini, A., Sbragaglia, M. & Bernaschi, M. Mesoscopic Simulation Study of Wall Roughness Effects in Micro-channel Flows of Dense Emulsions. J Stat Phys 161, 1482–1495 (2015). https://doi.org/10.1007/s10955-015-1374-y

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  • DOI: https://doi.org/10.1007/s10955-015-1374-y

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