Abstract
Impact of wall slip on the yield stress measurement is examined for capillary suspensions consisting of cocoa powder as the dispersed phase, vegetable oil as the continuous primary fluid, and water as the secondary fluid using smooth and serrated parallel plates. Using dynamic oscillatory measurements, we investigated the yielding behavior of this ternary solid-fluid-fluid system with varying particle volume fraction, ϕ, from 0.45 to 0.65 and varying water volume fraction, ϕw, from 0.02 to 0.08. Yield stress is defined as the maximum in the elastic stress (G′γ), which is obtained by plotting the product of elastic modulus (G′) and strain amplitude (γ) as a function of applied strain amplitude. With serrated plates, which offer minimal slippage, capillary suspensions with ϕ ≥ 0.45 and a fixed ϕw = 0.06 showed a two-step yielding behavior as indicated by two peaks in the plots of elastic stress as a function of strain amplitude. On the other hand with smooth plates, the capillary suspensions showed strong evidence of wall slip as evident by the presence of three distinct peaks and lowered first yield stresses for all ϕ and ϕw. These results can be interpreted based on the fact that a particle-depleted layer, which is known to be responsible for slip, is present in the vicinity of the smooth surfaces. The slip layer presents itself as an additional “pseudo-microstructure” (characteristic length scale) besides the two microstructures, aqueous bridges and solid particle agglomerates, that may occur in the system. With serrated plates, both the yield stresses (σ1σ2) and storage moduli plateau at lower strain (before the first yield point) and at higher strain (before the second yield point) (G\(^{\prime }_{p1}\), G\(^{\prime }_{p2}\)) were found to increase with ϕ (at a fixed ϕw = 0.06) following power-law dependences. Similarly with increasing ϕw (0.02 – 0.08) at a fixed ϕ = 0.62, the system behaved as a solid-like material in a jammed state with particles strongly held together as manifested by rapidly increasing σ1 and σ2. The usage of smooth surfaces primarily affected σ1 which was reflected by an approximately 70–90% decrement in the measured σ1 for all values of ϕ. By contrast, σ2 and G\(^{\prime }_{p2}\) were found to be unaffected as shown by close agreement of values obtained using serrated geometry due to vanishing slip layers at higher strain amplitudes.
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Acknowledgements
The authors are thankful to Professor Jeffrey Morris for numerous useful discussions and suggestions on improving the manuscript. The authors appreciate discussions with Megha Goyal regarding material selection, data processing, and plotting.
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Ahuja, A., Peifer, T., Yang, C.C. et al. Wall slip and multi-tier yielding in capillary suspensions. Rheol Acta 57, 645–653 (2018). https://doi.org/10.1007/s00397-018-1106-8
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DOI: https://doi.org/10.1007/s00397-018-1106-8