Integration approach of the Couette inverse problem of powder type self-compacting concrete in a wide-gap concentric cylinder rheometer. (English) Zbl 1273.76023
Summary: For powder type self-compacting concrete (SCC) mixes, commonly used in Belgium, a shear thickening (Herschel-Bulkley) flow behaviour of the fresh mixes is quite often observed.
A longstanding problem in rheometry is the so-called “Couette inverse problem”, where one tries to derive the flow curve \(\tau(\dot{\gamma})\) from the torque measurements \(T(N)\) in a (wide-gap) concentric cylinder (Couette) rheometer, with \(T\) the torque registered at the inner, stationary cylinder and \(N\) the rotational velocity of the outer, rotating, cylinder.
In this paper, the Couette inverse problem is approached by means of the integration method in order to convert \(T(N)\) into \(\tau(\dot{\gamma})\) for a wide-gap \((R_o/R_i = 1.45)\) concentric cylinder rheometer. The approach consists in the decoupling of the flow resistance and the power-law flow behaviour after exceeding the flow resistance. The integration approach is validated by experimental verification with different powder type SCC mixtures. By means of illustration, the results of one limestone powder type SCC mixture with different superplasticizer contents are shown in this paper.
A longstanding problem in rheometry is the so-called “Couette inverse problem”, where one tries to derive the flow curve \(\tau(\dot{\gamma})\) from the torque measurements \(T(N)\) in a (wide-gap) concentric cylinder (Couette) rheometer, with \(T\) the torque registered at the inner, stationary cylinder and \(N\) the rotational velocity of the outer, rotating, cylinder.
In this paper, the Couette inverse problem is approached by means of the integration method in order to convert \(T(N)\) into \(\tau(\dot{\gamma})\) for a wide-gap \((R_o/R_i = 1.45)\) concentric cylinder rheometer. The approach consists in the decoupling of the flow resistance and the power-law flow behaviour after exceeding the flow resistance. The integration approach is validated by experimental verification with different powder type SCC mixtures. By means of illustration, the results of one limestone powder type SCC mixture with different superplasticizer contents are shown in this paper.
Keywords:
self-compacting concrete; Couette inverse problem; integration approach; shear thickening; Herschel-BulkleyReferences:
| [1] | H. Okamura, M. Ouchi, in: Å. Skarendahl, Ö. Petersson, SCC1999. Proceedings of 1st International RILEM Symposium on Self-Compacting Concrete, Stockholm, 13 – 14 September 1999, RILEM Publications SARL, Bagneux, pp. 3 – 14. |
| [2] | BIBM, CEMBUREAU, EFCA, EFNARC and ERMCO, The European Guidelines for Self-Compacting Concrete: Specification, Production and Use, May 2005, 63 pp. |
| [3] | G. De Schutter, Guidelines for Testing Fresh Self-Compacting Concrete, September 2005, 23 pp. |
| [4] | Ferraris, C. F.; De Larrard, F.; Martys, N.: S.mindessj.p.skalnymaterials of science VI, Materials of science VI, 215-241 (2001) |
| [5] | Barnes, H. A.: The yield stress – a review or ’\(\pi \alpha \nu \tau \alpha \rho \varepsilon \)ι’ – everything flows?, J. non-Newton fluid mech. 81, 133-178 (1999) · Zbl 0949.76002 · doi:10.1016/S0377-0257(98)00094-9 |
| [6] | Macosko, C. W.: Rheology – principles, measurements and applications, (1994) |
| [7] | Coussot, Ph.: Rheometry of pastes, suspensions and granular materials: applications in industry and environment, (2005) |
| [8] | G. Heirman, et al., in: G. De Schutter, V. Boel (Eds.), SCC2007. Proceedings of 5th International RILEM Symposium on Self-Compacting Concrete, Ghent, 3 – 5 September 2007, RILEM Publications SARL, Bagneux, pp. 329 – 334. |
| [9] | D. Feys, et al., in: G. De Schutter, V. Boel (Eds.), SCC2007. Proceedings of 5th International RILEM Symposium on Self-Compacting Concrete, Ghent, 3 – 5 September 2007, RILEM Publications SARL, Bagneux, pp. 365 – 370. |
| [10] | C.F. Ferraris, F. de Larrard, Testing and Modelling of Fresh Concrete Rheology, NISTIR 6094, February 1998, 61 pp. |
| [11] | De Larrard, F.; Ferraris, C. F.; Sedran, T.: Fresh concrete: a Herschel – Bulkley material, Mater. struct. 31, 494-498 (1998) |
| [12] | Cyr, M.; Legrand, C.; Mouret, M.: Study of the shear thickening effect of superplasticizers on the rheological behaviour of cement pastes containing or not mineral additives, Cem. con. Res. 30, 1477-1483 (2000) |
| [13] | Barnes, H. A.: Shear-thickening (”dilatancy”) in suspensions of non-aggregating solid particles dispersed in Newtonian liquids, J. rheol. 33, 329-366 (1989) |
| [14] | Hoffman, R. L.: Discontinuous and dilatant viscosity behaviour in concentrated suspensions. I. observations of a flow instability, Trans. soc. Rheol. 16, 155-173 (1972) |
| [15] | Hoffman, R. L.: Discontinuous and dilatant viscosity behaviour in concentrated suspensions. II. theory and experimental tests, J. colloid interface sci. 46, 491-506 (1974) |
| [16] | Hoffman, R. L.: Explanations for the cause of shear thickening in concentrated colloidal suspensions, J. rheol. 42, 111-123 (1998) |
| [17] | 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) |
| [18] | Brady, J. F.; Bossis, G.: Stokesian dynamics, Annu. rev. Fluid mech. 20, 111-157 (1988) |
| [19] | Bossis, G.; Brady, J. F.: The rheology of Brownian suspensions, J. chem. Phys. 91, 1866-1874 (1989) |
| [20] | Ó. Wallevik, The Rheology of Fresh Concrete and Its Application on Concrete With and Without Silica Fume (PhD dissertation), NTNU Trondheim, 1990, 185 pp. (only available in Norwegian). |
| [21] | Dzuy, N. Q.; Boger, D. V.: Yield stress measurements for concentrated suspensions, J. rheol. 27, 321-349 (1983) |
| [22] | Saak, A. W.; Jennings, H. M.; Shah, S. P.: The influence of wall slip on yield stress and viscoelastic measurements of cement paste, Cem. con. Res. 31, 205-212 (2001) |
| [23] | Wallevik, J. E.: Thixotropic investigation on cement paste: experimental and numerical approach, J. non-Newton fluid mech. 132, 86-99 (2005) |
| [24] | Keentok, M.; Milthorpe, J. F.; O’donovan, E.: On the shearing zone around rotating vanes in plastic liquids: theory and experiment, J. non-Newton fluid mech. 17, 23-25 (1985) |
| [25] | Yan, J.; James, A. E.: The yield surface of viscoelastic and plastic fluids in a vane viscometer, J. non-Newton fluid mech. 70, 237-253 (1997) |
| [26] | Barnes, H. A.; Nguyen, Q. D.: Rotating vane rheometry – a review, J. non-Newton fluid mech. 98, 1-14 (2001) · Zbl 0963.76520 · doi:10.1016/S0377-0257(01)00095-7 |
| [27] | J.E. Wallevik, Rheology of Particle Suspensions, Fresh Concrete, Mortar and Cement Paste with Various Types of Lignosulfonates (PhD dissertation), NTNU Trondheim, 2003, 397 pp. |
| [28] | G. Heirman, et al., in: J. Marchand, et al. (Eds.), Proceedings of 2nd International RILEM Symposium on Advances in Concrete through Science and Engineering, Quebec, 11 – 13 September 2006, RILEM Publications SARL, Bagneux, p. 327 (on CD-ROM). |
| [29] | Yeow, Y.; Ko, W.; Tang, P.: Solving the inverse problem of Couette viscometry by Tikhonov regularization, J. rheol. 44, 1335-1351 (2000) |
| [30] | Ancey, C.: Solving the Couette inverse problem using a wavelet – vaguelette decomposition, J. rheol. 49, 441-460 (2005) |
| [31] | P. Moldenaers (Applied Rheology and Polymer Processing Section, Department of Chemical Engineering, K.U. Leuven, Belgium), personal communication, 28/02/2005. |
| [32] | P.F.G. Banfill (School of the Built Environment, Heriot – Watt University, Scotland), personal communication, 11/04/2005. |
| [33] | http://functions.wolfram.com/10.06.03.0020.01, 08/06/2007. |
| [34] | , An introduction to rheology (1989) · Zbl 0729.76001 |
| [35] | Nehdi, M.; Rahman, M. A.: Effect of geometry and surface friction of test accessory on oscillatory rheological properties of cement pastes, ACI mater. J. 101, 416-424 (2004) |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
