Abstract
Using a lattice-Boltzmann method to simulate the dyanmics of a colloidal suspension of hard spheres, we have calculated the wave-length-dependent viscosity. By extrapolating to small wave vectors we have calculated values for the high-frequency shear viscosity, ν, up to volume fractions of 59%. Where comparison is possible, our values are in good agreement with existing numerical, theoretical and experimental values. Examining the wave-vector-dependent viscosity, ν(k), we find very similar behavior to that found in a much simpler system — the hard sphere fluid. At small k we find that (ν(k) — ν) scales proportionally to k 3/2 and only for values of the wavevector an order of magnitude smaller than the reciprocal particle radius can the viscosity be considered essentially independent of wave vector.
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© 1998 Dr. Dietrich Steinkopff Verlag GmbH & Co. KG
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Heemels, M.W., Lowe, C.P., Bakker, A.F. (1998). The wavelength dependence of the high-frequency shear viscosity in a colloidal suspension of hard spheres. In: Koper, G.J.M., Bedeaux, D., Cavaco, C., Sager, W.F.C. (eds) Trends in Colloid and Interface Science XII. Progress in Colloid & Polymer Science, vol 110. Steinkopff. https://doi.org/10.1007/BFb0118068
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DOI: https://doi.org/10.1007/BFb0118068
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