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Effective viscosity of bidisperse suspensions
Koo Sangkyun,Song Kwang Ho The Korean Society of Rheology 2005 Korea-Australia rheology journal Vol.17 No.1
We determine the effective viscosity of suspensions with bidisperse particle size distribution by modifying an effective-medium theory that was proposed by Acrivos and Chang (1987) for monodisperse suspensions. The modified theory uses a simple model that captures some important effects of multi-particle hydrodynamic interactions. The modifications are described in detail in the present study. Estimations of effective viscosity by the modified theory are compared with the results of prior work for monodisperse and bidisperse suspensions. It is shown that the estimations agree very well with experimental or other calculated results up to approximately 0.45 of normalized particle volume fraction which is the ratio of volume faction to the maximum volume fraction of particles for bidisperse suspensions.
Sedimentation velocity of bidisperse suspensions
구상균 한국공업화학회 2008 Journal of Industrial and Engineering Chemistry Vol.14 No.5
The present study deals with a simple method to predict the sedimentation velocity of suspensions with bidisperse size distribution of particles. The method is developed by modifying the effective-medium theory for monodisperse suspensions. The predictions by the method of the present study are compared with the previous experimental results and the theoretical estimations by Batchelor and Wen [G.K. Batchelor, C.S. Wen, J. Fluid Mech. 124 (1982) 495]. It is shown that the estimations by the effective-medium model of the present study agree well with the experimental results for wider range of concentrations of the suspensions than do those by Batchelor and Wen [G.K. Batchelor, C.S. Wen, J. Fluid Mech. 124 (1982) 495]. However, it is also found that an effective-medium region intrudes the space for the small particle at origin at high total volume fractions near 0.3 when the size ratio of small to large particle is 0.52 and both the volume fractions of the large and small particles are equal. This behavior may be attributed to the segregation of the particles, which has been observed in earlier experiments at the high volume fractions.
Effective viscosity of bidisperse suspensions
송광호,Sangkyun Koo 한국유변학회 2005 Korea-Australia rheology journal Vol.17 No.1
We determine the effective viscosity of suspensions with bidisperse particle size distribution by modifying an effective-medium theory that was proposed by Acrivos and Chang (1987) for monodisperse suspensions. The modified theory uses a simple model that captures some important effects of multi-particle hydrodynamic interactions. The modifications are described in detail in the present study. Estimations of effective viscosity by the modified theory are compared with the results of prior work for monodisperse and bidisperse suspensions. It is shown that the estimations agree very well with experimental or other calculated results up to approximately 0.45 of normalized particle volume fraction which is the ratio of volume faction to the maximum volume fraction of particles for bidisperse suspensions.
Chun, Myung-Suk,Lee, Sangwoo,Lee, Tae-Seok,Cho, Jae-Seol The Korean Society of Rheology 2004 Korea-Australia rheology journal Vol.16 No.1
We examine rigorous computations on microstructural as well as rheological properties of concentrated dispersions of bidisperse colloids. The NVT Monte Carlo simulation is applied to obtain the radial distribution function for the concentrated system. The long-range electrostatic interactions between dissimilar spherical colloids are determined using the singularity method, which provides explicit solutions to the linearized electrostatic field. The increasing trend of osmotic pressure with increasing total particle concentration is reduced as the concentration ratio between large and small particles is increased. From the estimation of total structure factor, we observe the strong correlations developed between dissimilar spheres. As the particle concentration increases at a given ionic strength, the magnitude of the first peak in structure factors increases and also moves to higher wave number values. The increase of electrostatic interaction between same charged particles caused by the Debye screening effect provides an increase in both the osmotic pressure and the shear modulus. The higher volume fraction ratio providing larger interparticle spacing yields decreasing high frequency limit of the shear modulus, due to decreasing the particle interaction energy.
전명석,이상우,이태석,Jae Seol Cho 한국유변학회 2004 Korea-Australia rheology journal Vol.16 No.1
We examine rigorous computations on microstructural as well as rheological properties of concentrated dispersions of bidisperse colloids. The NVT Monte Carlo simulation is applied to obtain the radial distribution function for the concentrated system. The long-range electrostatic interactions between dissimilar spherical colloids are determined using the singularity method, which provides explicit solutions to the linearized electrostatic field. The increasing trend of osmotic pressure with increasing total particle concentration is reduced as the concentration ratio between large and small particles is increased. From the estimation of total structure factor, we observe the strong correlations developed between dissimilar spheres. As the particle concentration increases at a given ionic strength, the magnitude of the first peak in structure factors increases and also moves to higher wave number values. The increase of electrostatic interaction between same charged particles caused by the Debye screening effect provides an increase in both the osmotic pressure and the shear modulus. The higher volume fraction ratio providing larger interparticle spacing yields decreasing high frequency limit of the shear modulus, due to decreasing the particle interaction energy.
Numerical simulation of bidisperse hard spheres settling in a fluid
구상균 한국화학공학회 2011 Korean Journal of Chemical Engineering Vol.28 No.2
Average settling velocity of non-uniform hard spheres in a viscous fluid is determined by using a largescale numerical simulation that is carried out for over 103 spheres in a periodic unit cell which extends infinitely. An efficient calculation scheme is used for reducing the computation cost which steeply increases with the number of the spheres. The calculation scheme is based on a fast summation method for far-field hydrodynamic interaction among spheres. It is applied in the computation of hindered settling velocity of hard spheres with bidisperse size distribution in a viscous fluid. The simulation results are compared with the theoretical predictions by Batchelor [8] and Davis and Gecol [9]. It is found that the prediction by Davis and Gecol reasonably agrees with the numerical results.