TY - JOUR

T1 - Measuring shear-induced self-diffusion in a counterrotating geometry

AU - Breedveld, Victor

AU - van den Ende, Dirk

AU - Bosscher, Maarten

AU - Jongschaap, Robert J.J.

AU - Mellema, Jorrit

PY - 2001

Y1 - 2001

N2 - The novel correlation method to measure shear-induced self-diffusion in concentrated suspensions of noncolloidal hard spheres which we developed recently [J. Fluid Mech. 375, 297 (1998)] has been applied in a dedicated counterrotating geometry. The counterrotating nature of the setup enables experiments over a wider range of well-controlled dimensionless time (ẏΔt in the range 0.03–3.5, compared to 0.05–0.6 in previous experiments; here ẏ denotes the shear rate and Δt the correlation time). The accessible range of timescales made it possible to study the nature of the particle motion in a more detailed way. The wide radius geometry provides a well-defined flow field and was designed such that there is optical access from different directions. As a result, shear-induced self-diffusion coefficients could be determined as a function of particle volume fraction φ (0.20–0.50) in both the vorticity and velocity gradient direction. A transition could be observed to occur for ẏΔt of O(1), above which the particle motion is diffusive. The corresponding self-diffusion coefficients do not increase monotonically with particle volume fraction, as has been suggested by numerical calculations and theoretical modeling of Brady and Morris [J. Fluid Mech. 348, 103 (1997)]. After an exponential growth up to φ=0.35, the diffusion coefficients level off. The experiments even suggest the existence of a maximum around φ=0.40. The results are in good agreement with experimental literature data of Phan and Leighton [J. Fluid Mech. (submitted)], although these measurements were performed for much larger values of the dimensionless time ẏΔt.

AB - The novel correlation method to measure shear-induced self-diffusion in concentrated suspensions of noncolloidal hard spheres which we developed recently [J. Fluid Mech. 375, 297 (1998)] has been applied in a dedicated counterrotating geometry. The counterrotating nature of the setup enables experiments over a wider range of well-controlled dimensionless time (ẏΔt in the range 0.03–3.5, compared to 0.05–0.6 in previous experiments; here ẏ denotes the shear rate and Δt the correlation time). The accessible range of timescales made it possible to study the nature of the particle motion in a more detailed way. The wide radius geometry provides a well-defined flow field and was designed such that there is optical access from different directions. As a result, shear-induced self-diffusion coefficients could be determined as a function of particle volume fraction φ (0.20–0.50) in both the vorticity and velocity gradient direction. A transition could be observed to occur for ẏΔt of O(1), above which the particle motion is diffusive. The corresponding self-diffusion coefficients do not increase monotonically with particle volume fraction, as has been suggested by numerical calculations and theoretical modeling of Brady and Morris [J. Fluid Mech. 348, 103 (1997)]. After an exponential growth up to φ=0.35, the diffusion coefficients level off. The experiments even suggest the existence of a maximum around φ=0.40. The results are in good agreement with experimental literature data of Phan and Leighton [J. Fluid Mech. (submitted)], although these measurements were performed for much larger values of the dimensionless time ẏΔt.

KW - IR-73613

KW - METIS-128977

U2 - 10.1103/PhysRevE.63.021403

DO - 10.1103/PhysRevE.63.021403

M3 - Article

SN - 1063-651X

VL - 63

JO - Physical review E: Statistical physics, plasmas, fluids, and related interdisciplinary topics

JF - Physical review E: Statistical physics, plasmas, fluids, and related interdisciplinary topics

IS - 2

M1 - 021403

ER -