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Generality of shear thickening in dense suspensions

Abstract

Suspensions are of wide interest and form the basis for many smart fluids1,2,3,4,5,6,7. For most suspensions, the viscosity decreases with increasing shear rate, that is, they shear thin. Few are reported to do the opposite, that is, shear thicken, despite the longstanding expectation that shear thickening is a generic type of suspension behaviour8,9. Here we resolve this apparent contradiction. We demonstrate that shear thickening can be masked by a yield stress and can be recovered when the yield stress is decreased below a threshold. We show the generality of this argument and quantify the threshold in rheology experiments where we control yield stresses arising from a variety of sources, such as attractions from particle surface interactions, induced dipoles from applied electric and magnetic fields, as well as confinement of hard particles at high packing fractions. These findings open up possibilities for the design of smart suspensions that combine shear thickening with electro- or magnetorheological response.

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Figure 1: Revealing shear thickening by adding surfactant to hydrophobic glass spheres in water.
Figure 2: Using magnetic and electric fields to tune the interplay between shear thickening and the yield stress.
Figure 3: Elimination of shear thickening by increasing packing fraction.
Figure 4: Non-equilibrium phase diagrams delineating observable shear-thickening regions in terms of the associated stress range.
Figure 5: Fit of a stress/shear-rate curve broken up into shear-thinning and shear-thickening components.

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References

  1. Stanway, R. Smart fluids. Nature Sci. Tech. 20, 931–939.

  2. Wen, W., Huang, X., Yang, S., Lu, K. & Sheng, P. The giant electrorheological effect in suspensions of nanoparticles. Nature Mater. 2, 727–730 (2003).

    Article  CAS  Google Scholar 

  3. Trappe, V., Prasad, V., Cipelletti, L., Segre, P. N. & Weitz, D. A. Jamming phase diagram for attractive particles. Nature 411, 772–775 (2001).

    Article  CAS  Google Scholar 

  4. Jolly, M. R., Bender, J. W. & Carlson, J. D. SPIE 5th Annual Int. Symposium on Smart Structures and Materials (1998).

  5. Lee, Y. S., Wetzel, E. D. & Wagner, N. J. The ballistic impact characteristics of Kevlar—woven fabrics impregnated with a colloidal shear thickening fluid. J. Mater. Sci. 38, 2825–2833 (2003).

    Article  CAS  Google Scholar 

  6. Shenoy, S. S., Wagner, N. J. & Bender, J. W. E-FiRST: Electric field responsive shear thickening fluids. Rheol. Acta 42, 287–294 (2003).

    Article  CAS  Google Scholar 

  7. Zhang, X., Li, W. & Gong, X. L. Study on magnetorheological shear thickening fluid. Smart Mater. Struct. 17, 015051 (2008).

    Article  Google Scholar 

  8. Barnes, H. A. Shear-thickening (‘Dilatancy’) in suspensions of nonaggregating solid particles dispersed in Newtonian liquids. J. Rheol. 33, 329–366 (1989).

    Article  CAS  Google Scholar 

  9. Brady, J. F. & Bossis, G. The rheology of concentrated suspensions of spheres in simple shear flow by numerical simulation. J. Fluid Mech. 155, 105–129 (1985).

    Article  Google Scholar 

  10. Maranzano, B. J. & Wagner, N. J. The effects of particle size on reversible shear thickening of concentrated colloidal suspensions. J. Chem. Phys. 114, 10514–10527 (2001).

    Article  CAS  Google Scholar 

  11. Hoffmann, R. L. Discontinuous and dilatant viscosity behaviour in concentrated suspensions III. Necessary conditions for their occurrence in viscometric flows. Adv. Colloid Interface Sci. 17, 161–184 (1982).

    Article  Google Scholar 

  12. Lootens, D., Van Damme, H., Hémar, Y. & Hébraud, P. Dilatant flow of concentrated suspensions of rough particles. Phys. Rev. Lett. 95, 268302 (2005).

    Article  Google Scholar 

  13. Fall, A., Huang, N., Bertrand, F., Ovarlez, G. & Bonn, D. Shear thickening of cornstarch suspensions as a reentrant jamming transition. Phys. Rev. Lett. 100, 018301 (2008).

    Article  Google Scholar 

  14. Galley, W. & Puddington, I. E. The hydration of starch below the gelatinization temperature. Can. J. Res. C 21, 179–185 (1943).

    Article  Google Scholar 

  15. Gopalakrishnan, V. & Zukoski, C. F. Effect of attractions on shear thickening in dense suspensions. J. Rheol. 48, 1321–1344 (2004).

    Article  CAS  Google Scholar 

  16. Brown, E. & Jaeger, H. M. Dynamic jamming point for shear thickening suspensions. Phys. Rev. Lett. 103, 086001 (2009).

    Article  Google Scholar 

  17. Egres, R. G. & Wagner, N. J. The rheology and microstructure of acicular precipitated calcium carbonate colloidal suspensions through the shear thickening transition. J. Rheol. 49, 719–746 (2005).

    Article  CAS  Google Scholar 

  18. Head, D. A., Ajdari, A. & Cates, M. E. Jamming, hysteresis, and oscillation in scalar models for shear thickening. Phys. Rev. E 64, 061509 (2001).

    Article  CAS  Google Scholar 

  19. Sellito, M. & Kurchan, J. Shear-thickening and entropy-driven reentrance. Phys. Rev. Lett. 95, 236001 (2005).

    Article  Google Scholar 

  20. Bergenholtz, J., Brady, J. F. & Vivic, M. The non-Newtonian rheology of dilute colloidal suspensions. J. Fluid Mech. 456, 239–275 (2002).

    Article  CAS  Google Scholar 

  21. Melrose, J. R. & Ball, R. C. Continuous shear thickening transitions in model concentrated colloids—the role of interparticle forces. J. Rheol. 48, 937–960 (2004).

    Article  CAS  Google Scholar 

  22. Osuji, C. O., Kim, C. & Weitz, D. A. Shear thickening and scaling of the elastic modulus in a fractal colloidal system with attractive interactions. Phys. Rev. E 77, 060402 (2008).

    Article  Google Scholar 

  23. Lootens, D., Van Damme, H. & Hébraud, P. Giant stress fluctuations at the jamming transition. Phys. Rev. Lett. 90, 178301 (2003).

    Article  Google Scholar 

  24. Pryce-Jones, J. Experiments on thixotropic and other anomalous fluids with a new rotation viscometer. J. Sci. Instrum. 18, 39–48 (1941).

    Article  CAS  Google Scholar 

  25. Jolly, M. R. & Bender, J. W. Field responsive shear thickening fluid. US patent 20060231357 (2001).

  26. Rolland, J. P. et al. Direct fabrication and harvesting of monodisperse, shape-specific nanobiomaterials. J. Am. Chem. Soc. 127, 10096–10100 (2005).

    Article  CAS  Google Scholar 

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Acknowledgements

This work was supported by DARPA through Army grant W911NF-08-1-0209. E.B. acknowledges further support by the NSF MRSEC programme under DMR-0820054. We thank J. Xu for carrying out the optical tweezer measurements, K. Herlihy and J. Nunes for help with the magnetite-containing particle synthesis, L. Mair and R. Superfine for assistance with optical microscope images in calibrated magnetic fields and J. Sprague and M. Hunter for assistance with manufacturing of PRINT particles.

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Authors

Contributions

E.B. and H.M.J. conceived of the study and wrote the manuscript. All team members were involved in conception of manufactured particles that show both a magnetorheological and shear-thickening effect. H.Z., N.A.F., D.E.B. and J.M.D. were responsible for design and initial fabrication of these particles. N.A.F., B.W.M. and J.M.D. were responsible for production of gram quantities of these particles. E.B. and C.S.O. were responsible for the rheological measurements. E.B. analysed the data.

Corresponding author

Correspondence to Eric Brown.

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Competing interests

Joseph DeSimone and Benjamin Maynor have an interest in Liquidia Technologies, which has licensed the PRINT technology

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Brown, E., Forman, N., Orellana, C. et al. Generality of shear thickening in dense suspensions. Nature Mater 9, 220–224 (2010). https://doi.org/10.1038/nmat2627

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