title: Transport properties of suspensions-critical assessment of Beenakker-Mazur method.
abstract: The Beenakker-Mazur method of calculation of transport coefficients for suspensions has been analyzed. The analysis relies on calculation of the hydrodynamic function and the effective viscosity with higher accuracy and comparison of these characteristics to the original Beennakker-Mazur results. Comparison to numerical simulations is also given. Our calculations go along with the idea of Beenakker and Mazur, but avoid unnecessary approximations. Our higher accuracy results differ significantly from results obtained initially by Beenakker and Mazur for volume fractions φ > 25%. Moreover, our results agree with the precise numerical simulations of Abade and Ladd for volume fractions φ < 15% and volume fractions φ ≈ 45%, whereas for volume fractions 15% < φ < 40%, we observe pronounced discrepancies.
authors.affiliation: Institute of Theoretical Physics, Faculty of Physics, University of Warsaw, Hoża 69, 00-681 Warsaw, Poland.
authors.forename: Karol
authors.initials: K
authors.lastname: Makuch
authors.forename: Bogdan
authors.initials: B
authors.lastname: Cichocki