- Volume 18 Issue 3
PURPOSES : In this paper, the analytical solutions suggested to simulate the behavior of rheological fluids were rigorously re-derived and investigated for fixed conditions to evaluate the applicability for the solutions on a mini-cone slump test of cement paste. The selected solutions with proper boundary conditions can be used as reference solutions to evaluate the performance of numerical simulation approaches, such as the discrete element method. METHODS : The slump, height, and spread radius for the given boundary and yield stress conditions that are determined by five different analytical solutions are compared. RESULTS : The analytical solution based on fluid mechanics for pure shear flow shows similar results to that for intermediate flow at low yield stresses. The fluid mechanics-based analytical solution resulted in a very similar trend to the geometry-based analytical solution. However, it showed a higher slump at high yield stress and lower slump at low yield stress ranges than the geometry-based analytical model. The analytical solution based on the mini-cone geometry was not significantly affected by the yield criteria, such as von Mises and Tresca. CONCLUSIONS : Even though differences among the analytical solutions in terms of slump and spread radius existed, the difference can be considered insignificant when the solutions were used as reference to evaluate the appropriateness of numerical approaches, such as the discrete element method.
analytical solution;slump test;cement paste;yield stress
- Adams MJ, Aydin I, Briscoe BJ, Sinha SK. 1997. A Finite Element Analysis of the Squeeze Flow of an Elasto-Viscoplastic Paste Material, Journal of Non-Newtonian Fluid Mechanics, Vol 71. 41-57. https://doi.org/10.1016/S0377-0257(96)01546-7
- Basterfield RA, Lawrence CJ, Adams MJ. 2005. On the Interpretation of Orifice Extrusion Data for Viscoplastic Materials, Chemical Engineering Science, Vol 60, 2599-2607. https://doi.org/10.1016/j.ces.2004.12.019
- Boreshi AP, Schmidt RJ. 2003. Advanced Mechanics of Materials:Sixth Edition, John wiley & Sons, INC.
- Coussot P, Proust S, Ancey C. 1996. Rheological Interpretation fo Deposits of Yield Stress Fluids, Journal fo Non-Newtonian Fluid Mechanics, vol 66, 55-70. https://doi.org/10.1016/0377-0257(96)01474-7
- Martinie L, Buggisch H, Willenbacher N. 2013. Apparent Elongational Yield Stress of Soft Matter, Journal of Rheology, Vol 52, Issue 2, 627-646.
- Murata J. 1984, Flow and Deformation of Fresh concrete, Mater. Constr. Vol 17, 117-129. https://doi.org/10.1007/BF02473663
- Pierre A, Lanos C, Estelle P. 2013. Extension of Spread-Slump Fomulate for Yield Stress Evaulation, Applied Rheology, Vol 23, Issue 6.
- Roussel N, Coussot P. 2005. "Fifty-cent rheometer"for Yield Stress Measurements: From Slump to Spreading Flow, Journal of Rheology, Vol. 49, Issue 3, 705-718. https://doi.org/10.1122/1.1879041
- Roussel N, Leroy SR. 2005. From Mini-cone Test to Abrams Cone Test: Measurement of Cement-based Materials Yield Stress using Slump Tests, Cement and Concretes Research, Vol 35, 817-822. https://doi.org/10.1016/j.cemconres.2004.07.032
- Saak AW, Jennings HM, Shah SP. 2004. A Generalized Approach for the Determination of Yield Stress by Slump and Slump Flow. Cement and Concrete Research, Vol. 35, 363-371.
- Tiwari MK, Bazilevsky AV, Yarin AL, Megaridis CM. 2009. Elongational and Shear Rheology of Carbon Nanotube Suspensions, Rheol Acta, Vol 48, 597-609. https://doi.org/10.1007/s00397-009-0354-z
- Numerical Analysis on Flow of Cement Paste Layers using 2D-CFD vol.20, pp.6, 2018, https://doi.org/10.7855/IJHE.2018.20.6.051
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