Integration approach of the Couette inverse problem of powder type self-compacting concrete in a wide-gap concentric cylinder rheometer

Abstract 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 τ ( γ ˙ ) 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 τ ( γ ˙ ) for a wide-gap (Ro/Ri = 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.

[1]  Geert De Schutter,et al.  The rheology of fresh self-compacting concrete: A compromise between Bingham and Herschel-Bulkley ? , 2005 .

[2]  P. Coussot.  Rheometry of Pastes, Suspensions, and Granular Materials: Applications in Industry and Environment , 2005 .

[3]  Howard A. Barnes,et al.  The yield stress—a review or ‘παντα ρει’—everything flows? , 1999 .

[4]  John F. Brady,et al.  The rheology of concentrated suspensions of spheres in simple shear flow by numerical simulation , 1985, Journal of Fluid Mechanics.

[5]  John F. Brady,et al.  STOKESIAN DYNAMICS , 2006 .

[6]  Y. Leong Yeow,et al.  Solving the inverse problem of Couette viscometry by Tikhonov regularization , 2000 .

[7]  Jon Elvar Wallevik,et al.  Thixotropic investigation on cement paste: Experimental and numerical approach , 2005 .

[8]  J. Brady,et al.  The rheology of Brownian suspensions , 1989 .

[9]  Howard A. Barnes,et al.  The yield stress—a review or 'panta roi'—everything flows? , 1999 .

[10]  Christophe Ancey,et al.  Solving the Couette inverse problem using a wavelet-vaguelette decomposition , 2005 .

[11]  M. Cyr,et al.  Study of the shear thickening effect of superplasticizers on the rheological behaviour of cement pastes containing or not mineral additives , 2000 .

[12]  F De Larrard,et al.  Fresh concrete: A Herschel-Bulkley material , 1998 .

[13]  R. Hoffman.  Discontinuous and Dilatant Viscosity Behavior in Concentrated Suspensions. I. Observation of a Flow Instability , 1972 .

[14]  Richard L. Hoffman,et al.  Explanations for the cause of shear thickening in concentrated colloidal suspensions , 1998 .

[15]  Christopher W. Macosko,et al.  Rheology: Principles, Measurements, and Applications , 1994 .

[16]  Howard A. Barnes,et al.  Rotating vane rheometry — a review , 2001 .

[17]  R. Hoffman.  Discontinuous and dilatant viscosity behavior in concentrated suspensions. II. Theory and experimental tests , 1974 .

[18]  H. Barnes,et al.  An introduction to rheology , 1989 .

[19]  J. F. Milthorpe,et al.  On the shearing zone around rotating vanes in plastic liquids: theory and experiment , 1985 .

[20]  H. A. Barnes,et al.  Shear‐Thickening (“Dilatancy”) in Suspensions of Nonaggregating Solid Particles Dispersed in Newtonian Liquids , 1989 .

[21]  Surendra P. Shah,et al.  The influence of wall slip on yield stress and viscoelastic measurements of cement paste , 2001 .

[22]  Jon Elvar Wallevik,et al.  Rheology of Particle Suspensions: Fresh Concrete, Mortar and Cement Paste with Various Types of Lignosulfonates , 2003 .

[23]  A. James,et al.  The yield surface of viscoelastic and plastic fluids in a vane viscometer , 1997 .

[24]  David V. Boger,et al.  Yield Stress Measurement for Concentrated Suspensions , 1983 .