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Rheology of non-colloidal suspensions with corn syrup matrices

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Abstract

We explore the rheology of corn syrup and non-colloidal suspensions of spheres in matrices based on corn syrup. We also comment on the effect of sphere roughness on suspension rheology. Two sphere materials, polystyrene (PS) and polymethyl methacrylate (PMMA), were used. The spheres were of 40 μm nominal diameter. Roughness ratios (average roughness/sphere radius) of 0.15 to 5 % were explored. The viscosity increase with the corn syrup matrix was very large and appears to be due to drying of the corn syrup at the free surfaces of the sample. A corn syrup/glycerine/polyacrylamide Boger fluid was also used. The increases of viscosity with the Boger fluid matrix were again large with the roughened spheres. This appears to be due to the deformation of the long polyacrylamide molecules in the narrow channels between the roughened spheres.

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Acknowledgments

We thank Dr. Isidro (Dan) E. Zarraga of Genentech for his numerous insightful comments and suggestions on this manuscript and the work in it.

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Authors and Affiliations

  1. School of Aerospace, Mechanical and Mechatronic Engineering, University of Sydney, Sydney, 2006, Australia

    Roger I. Tanner & Shaocong Dai

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  1. Roger I. Tanner
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  2. Shaocong Dai
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Correspondence to Roger I. Tanner.

Appendix—A conservative criterion to avoid settling

Appendix—A conservative criterion to avoid settling

We ran a series of viscosity tests with PMMA spheres in a density-matched Newtonian matrix and compared the results with the PS spheres in the same matrix. At high enough shear rates, the curves coincided, but below a certain shear rate, the PS data showed a lower viscosity value due to settling.

A convenient conservative criterion can be devised using a modified Shields number (Sh*) defined as

$$ Sh* = {\eta}_0\overset{.}{\gamma }/2\varDelta \rho ga $$
(9)

We found that no settling occurred if

$$ Sh*>3 $$
(10)

Applying this criterion to data with a PS/silicone oil suspension (η 0 = 1.1 Pa-s) and for Δρ = 80 kg/m3 and a = 20 μm, we find the critical shear rate for no settling is ~0.086 s−1. For the corn syrup and Boger fluid matrices, since they have larger viscosities and also larger Δρ (~377 kg/m3), the critical shear rates predicted by Eq. (10) are 0.18 and 0.12 s−1, respectively.

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Tanner, R.I., Dai, S. Rheology of non-colloidal suspensions with corn syrup matrices. Rheol Acta 55, 739–747 (2016). https://doi.org/10.1007/s00397-016-0947-2

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  • DOI: https://doi.org/10.1007/s00397-016-0947-2

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