VISCOUS RESUSPENSION IN FULLY-DEVELOPED LAMINAR PIPE FLOWS

被引:74
作者
ZHANG, K
ACRIVOS, A
机构
[1] The Levich Institute, The City College, CUNY, New York
关键词
RESUSPENSION; PIPE FLOW;
D O I
10.1016/0301-9322(94)90031-0
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
Viscous resuspension of heavy particles in fully developed laminar flows in a horizontal pipe is investigated theoretically by extending the model used previously for unidirectional flows to cases in which all three velocity components are non-zero due to the existence of a secondary motion within the cross section of the pipe. The resulting mathematical system of equations was solved by employing the Galerkin finite-element method. The theoretically predicted velocity and concentration profiles for flow in a circular pipe were found to be in very good qualitative agreement with experimental results reported by others, even though the analysis did not make use of any adjustable parameters.
引用
收藏
页码:579 / 591
页数:13
相关论文
共 18 条
[1]   SHEAR-INDUCED RESUSPENSION IN A COUETTE DEVICE [J].
ACRIVOS, A ;
MAURI, R ;
FAN, X .
INTERNATIONAL JOURNAL OF MULTIPHASE FLOW, 1993, 19 (05) :797-802
[2]   VELOCITY AND CONCENTRATION MEASUREMENTS OF SUSPENSIONS BY NUCLEAR-MAGNETIC-RESONANCE IMAGING [J].
ALTOBELLI, SA ;
GIVLER, RC ;
FUKUSHIMA, E .
JOURNAL OF RHEOLOGY, 1991, 35 (05) :721-734
[3]  
Baker A. J., 1983, FINITE ELEMENT COMPU
[4]   STREAMLINE UPWIND PETROV-GALERKIN FORMULATIONS FOR CONVECTION DOMINATED FLOWS WITH PARTICULAR EMPHASIS ON THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS [J].
BROOKS, AN ;
HUGHES, TJR .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1982, 32 (1-3) :199-259
[5]   FINITE-ELEMENT ANALYSIS OF INCOMPRESSIBLE VISCOUS FLOWS BY THE PENALTY FUNCTION FORMULATION [J].
HUGHES, TJR ;
LIU, WK ;
BROOKS, A .
JOURNAL OF COMPUTATIONAL PHYSICS, 1979, 30 (01) :1-60
[6]   AN EXPERIMENTAL INVESTIGATION OF CONCENTRATED SUSPENSION FLOWS IN A RECTANGULAR CHANNEL [J].
KOH, CJ ;
HOOKHAM, P ;
LEAL, LG .
JOURNAL OF FLUID MECHANICS, 1994, 266 :1-32
[7]  
Krieger I. M., 1972, ADV COLLOID INTERFAC, V3, P111, DOI DOI 10.1016/0001-8686(72)80001-0
[8]   SMOOTHING TECHNIQUES FOR CERTAIN PRIMITIVE VARIABLE SOLUTIONS OF THE NAVIER-STOKES EQUATIONS [J].
LEE, RL ;
GRESHO, PM ;
SANI, RL .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1979, 14 (12) :1785-1804
[9]   THE SHEAR-INDUCED MIGRATION OF PARTICLES IN CONCENTRATED SUSPENSIONS [J].
LEIGHTON, D ;
ACRIVOS, A .
JOURNAL OF FLUID MECHANICS, 1987, 181 :415-439
[10]   VISCOUS RESUSPENSION [J].
LEIGHTON, D ;
ACRIVOS, A .
CHEMICAL ENGINEERING SCIENCE, 1986, 41 (06) :1377-1384