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Liquid migration in sheared unsaturated granular media

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Abstract

We show how liquid migrates in sheared unsaturated granular media using a grain scale model for capillary bridges. Liquid is redistributed to neighboring contacts after rupture of individual capillary bridges leading to redistribution of liquid on large scales. The liquid profile evolution coincides with a recently developed continuum description for liquid migration in shear bands. The velocity profiles which are linked to the migration of liquid as well as the density profiles of wet and dry granular media are studied.

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References

  1. Herminghaus, S.: Dynamics of wet granular matter. Adv. Phys. 54(3), 221–261 (2005)

    Article  ADS  Google Scholar 

  2. Mitarai, N., Nori, F.: Wet granular materials. Adv. Phys. 55(1–2), 1–45 (2006)

    Article  ADS  Google Scholar 

  3. Scheel, M., Seemann, R., Brinkmann, M., Di Michiel, M., Sheppard, A., Breidenbach, B., Herminghaus, S.: Morphological clues to wet granular pile stability. Nat. Mater. 7, 189–193 (2008)

  4. Willett, C.D., Adams, M.J., Johnson, S.A., Seville, J.P.K.: Capillary bridges between two spherical bodies. Langmuir 16(24), 9396–9405 (2000)

    Article  Google Scholar 

  5. Mitarai, N., Nakanishi, H.: Simple model for wet granular materials with liquid clusters. EPL (Europhys. Lett.) 88(6), 64001 (2009)

    Google Scholar 

  6. Scholtès, L., Hicher, P.Y., Nicot, F., Chareyre, B., Darve, F.: On the capillary stress tensor in wet granular materials. Int. J. Numer. Anal. Methods Geomech. 33(10), 1289–1313 (2009)

    Article  Google Scholar 

  7. Richefeu, V., El Youssoufi, M.S., Radjaï, F.: Shear strength properties of wet granular materials. Phys. Rev. E 73, 051304 (2006)

    Google Scholar 

  8. Aharonov, E., Sparks, D.: Shear profiles and localization in simulations of granular materials. Phys. Rev. E 65, 051302 (2002)

    Article  ADS  Google Scholar 

  9. da Cruz, F., Emam, S., Prochnow, M., Roux, J.N., Chevoir, F.: Rheophysics of dense granular materials: discrete simulation of plane shear flows. Phys. Rev. E 72, 021309 (2005)

    Article  ADS  Google Scholar 

  10. Moreau, J.J.: Some numerical methods in multibody dynamics: application to granular materials. Eur. J. Mech. A Solid 13, 93–114 (1994)

    Google Scholar 

  11. Jean, M., Moreau, J.J: Unilaterality and dry friction in the dynamics of rigid body collections. In: Contact Mechanics International Symposium, pp. 31–48. (1992)

  12. Kadau, D., Bartels, G., Brendel, L., Wolf, D.E.: Pore stabilization in cohesive granular systems. Phase Transit. 76, 315–331 (2003)

    Article  Google Scholar 

  13. Kadau, D., Herrmann, H.J.: Collapsing granular suspensions. Eur. Phys. J. E 30, 275–281 (2009)

    Article  Google Scholar 

  14. Kadau, D., Herrmann, H.J.: Density profiles of loose and collapsed cohesive granular structures generated by ballistic deposition. Phys. Rev. E 83(3), 031301 (2011)

    Google Scholar 

  15. Halsey, T.C., Levine, A.J.: How sandcastles fall. Phys. Rev. Lett. 80(14), 3141–3144 (1997)

    Article  ADS  Google Scholar 

  16. Ulrich, S., Aspelmeier, T., Zippelius, A., Roeller, K., Fingerle, A., Herminghaus, S.: Dilute wet granular particles: nonequilibrium dynamics and structure formation. Phys. Rev. E 80, 031306 (2009)

    Article  ADS  Google Scholar 

  17. Shi, D., McCarthy, J.: Numerical simulation of liquid transfer between particles. Powder Technol. 184(1), 64–75 (2008). doi:10.1016/j.powtec.2007.08.011

    Google Scholar 

  18. Rognon, P.G., Roux, J.-N., Wolf, D., Naaïm, M., Chevoir, F.: Rheophysics of cohesive granular materials. Europhys. Lett. 74(4), 644 (2006)

    Google Scholar 

  19. GDR MiDi: On dense granular flows. Eur. Phys. J. E 14(4), 341–365 (2004)

    Google Scholar 

  20. Utter, B., Behringer, R.P.: Self-diffusion in dense granular shear flows. Phys. Rev. E 69, 031308 (2004)

    Article  ADS  Google Scholar 

  21. Campbell, C.S.: Self-diffusion in granular shear flows. J. Fluid Mech. 348, 85–101 (1997)

    Article  MathSciNet  MATH  ADS  Google Scholar 

  22. Jackson, K.A.: Kinetic Processes. Wiley-VCH, London (2010)

    Google Scholar 

  23. Mani, R., Kadau, D., Or, D., Herrmann, H.J.: Fluid depletion in shear bands. Phys. Rev. Lett. (preprint, accepted) arXiv:1205. 0999v1 (2012)

  24. Unger, T.: Collective rheology in quasi static shear flow of granular media (preprint). arXiv:1009.3878v1 (2010)

  25. Lees, A.W., Edwards, S.F.: The computer study of transport processes under extreme conditions. J. Phys. C Solid State Phys. 5(15), 1921 (1972)

    Google Scholar 

  26. Turton, R.: Challenges in the modeling and prediction of coating of pharmaceutical dosage forms. Powder Technol. 181(2), 186–194 (2008)

    Article  Google Scholar 

Download references

Acknowledgments

We thank Martin Brinkmann for helpful discussions and the Deutsche Forschungsgemeinschaft (DFG) for financial support through grant no. HE 2732/11-1.

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Correspondence to Roman Mani.

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Mani, R., Kadau, D. & Herrmann, H.J. Liquid migration in sheared unsaturated granular media. Granular Matter 15, 447–454 (2013). https://doi.org/10.1007/s10035-012-0387-3

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  • DOI: https://doi.org/10.1007/s10035-012-0387-3

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