Coalescence of Particles by Differential Sedimentation

被引:0
作者
P. Horvai
S. V. Nazarenko
T. H. M. Stein
机构
[1] University of Warwick,Mathematics Institute
来源
Journal of Statistical Physics | 2008年 / 130卷
关键词
Coagulation; Sedimentation; Self-similarity;
D O I
暂无
中图分类号
学科分类号
摘要
We consider a three dimensional system consisting of a large number of small spherical particles, distributed in a range of sizes and heights (with uniform distribution in the horizontal direction). Particles move vertically at a size-dependent terminal velocity. They are either allowed to merge whenever they cross or there is a size ratio criterion enforced to account for collision efficiency. Such a system may be described, in mean field approximation, by the Smoluchowski kinetic equation with a differential sedimentation kernel. We obtain self-similar steady-state and time-dependent solutions to the kinetic equation, using methods borrowed from weak turbulence theory. Analytical results are compared with direct numerical simulations (DNS) of moving and merging particles, and a good agreement is found.
引用
收藏
页码:1177 / 1195
页数:18
相关论文
共 50 条
[41]   SEDIMENTATION OF CHARGED PARTICLES AT LARGE PéCLET NUMBER [J].
Lianzhong Zhang Chenbing Zhang Wen Liu and Yizhi Ren Institute of Physics Nankai University Tianjin P R China Medical College Nankai University Tianjin P R China Author to whom correspondence should be addressed Email zhanglzeyoucom .
China Particuology Science and Technology of Particles, 2004, (06) :253-255+233
[42]   Simultaneous aggregation and sedimentation of silica particles in the presence of surfactants [J].
Gupta, JK ;
Basu, S .
COLLOIDS AND SURFACES A-PHYSICOCHEMICAL AND ENGINEERING ASPECTS, 2005, 255 (1-3) :139-143
[43]   THE NUMERICAL MODELING OF THE SEDIMENTATION OF POLAR STRATOSPHERIC CLOUD PARTICLES [J].
MULLER, R ;
PETER, T .
BERICHTE DER BUNSEN-GESELLSCHAFT-PHYSICAL CHEMISTRY CHEMICAL PHYSICS, 1992, 96 (03) :353-361
[44]   Modelling of the sedimentation of polydisperse suspension particles in a plate centrifuge [J].
Minkov L.L. ;
Pikushchak E.V. ;
Dueck J.G. .
Thermophysics and Aeromechanics, 2009, 16 (1) :77-86
[45]   Sedimentation of particles in shear flows of viscoelastic fluids with fibers [J].
Bazilevsky, Alexander V. ;
Kalinichenko, Vladimir A. ;
Plyashkevich, Vladimir A. ;
Badazhkov, Dmitry V. ;
Rozhkov, Aleksey N. .
RHEOLOGICA ACTA, 2017, 56 (10) :787-799
[46]   Sedimentation of particles in shear flows of viscoelastic fluids with fibers [J].
Alexander V. Bazilevsky ;
Vladimir A. Kalinichenko ;
Vladimir A. Plyashkevich ;
Dmitry V. Badazhkov ;
Aleksey N. Rozhkov .
Rheologica Acta, 2017, 56 :787-799
[47]   Numerical simulation of the sedimentation of cylindrical pollutant particles in fluid [J].
LIN Jian zhong WANG Ye long WANG Wei xiong YU Zhao sheng Department of Mechanics Zhejiang University Hangzhou China Department of Mechanical and Mechatronic Engineering the University of Sydney NSW Australia .
Journal of Environmental Sciences, 2002, (04) :433-438
[48]   Time periods of GSR particles sedimentation after discharge [J].
Fojtásek, L ;
Kmjec, T ;
Turková, I .
FORENSIC SCIENCE INTERNATIONAL, 2003, 136 :153-153
[49]   Numerical Research on the Sedimentation of Rectangular Particles in Viscoelastic Fluids [J].
Lv Hong ;
Tang Shengli .
WMSCI 2010: 14TH WORLD MULTI-CONFERENCE ON SYSTEMICS, CYBERNETICS AND INFORMATICS, VOL I, 2010, :167-172
[50]   Measurement of the Rate of Sedimentation of Fine Particles in a Platelike Centrifuge [J].
J. G. Dueck ;
D. Yu. Kilimnik ;
L. L. Min'kov ;
T. Neesse .
Journal of Engineering Physics and Thermophysics, 2003, 76 (4) :748-759