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Neutron scattering from dense colloidal dispersions at high shear rates: The deformation of the structure factor in the shear plane

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  • Van der Werff, J.C.
  • Ackerson, B.J.
  • May, R.P.
  • de Kruif, C.G.

Abstract

A parallel-plate shear cell was used in small-angle neutron scattering experiments with the D11 diffractometer at the ILL. This cell allows the study of the deformation of the structure factor in a large part of the velocity-gradient plane (the shear plane) as well as the more commonly studied velocity-vorticity plane. The gap between the plates in a vertical plane and can be rotated about a vertical axis such that the horizontally incident neutron beam makes an arbitrary angle with the axis of rotation of the moving plate. The scattering in the flow-gradient plane is reconstructed from a series of scattering patterns sharing a common vorticity direction but different sectors of the velocity-gradient plane. Concentrated hardsphere dispersions were subjected to high-shear flow. It is found that an increase of the Peclet number from Pe=1 to Pe=10 does lead to a significant change in the micro-structure of the dispersion, whereas a further increase to Pe=20 or higher does not induce a further change. If the volume fraction of the particles is lower than φ=0.50, the qualitative deformation of the structure factor is independent of concentration. However, if the concentration is above φ=0.50, then a different structure is observed in the flow-gradient plane. These findings are consistent with previous light scattering experiments on the same hard-sphere dispersions and support the proposal of a “non-equilibrium phase” diagram.

Suggested Citation

  • Van der Werff, J.C. & Ackerson, B.J. & May, R.P. & de Kruif, C.G., 1990. "Neutron scattering from dense colloidal dispersions at high shear rates: The deformation of the structure factor in the shear plane," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 165(3), pages 375-398.
  • Handle: RePEc:eee:phsmap:v:165:y:1990:i:3:p:375-398
    DOI: 10.1016/0378-4371(90)90007-F
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    References listed on IDEAS

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    1. Ackerson, Bruce J. & Clark, Noel A., 1983. "Sheared colloidal suspensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 118(1), pages 221-249.
    2. Böhne, Ferdinand R., 1968. "Wettbewerb und Marketing-Mix im Einzelhandel," Wirtschaftsdienst – Zeitschrift für Wirtschaftspolitik (1949 - 2007), ZBW - Leibniz Information Centre for Economics, vol. 48(5), pages 285-287.
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    Cited by:

    1. Henderson, S.I. & Mortensen, T.C. & Underwood, S.M. & van Megen, W., 1996. "Effect of particle size distribution on crystallisation and the glass transition of hard sphere colloids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 233(1), pages 102-116.

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