Material stretching in laminar mixing flows: extended mapping technique applied to the journal bearing flow

被引:13
作者
Anderson, PD
Galaktionov, OS
Peters, GWM
Meijer, HEH
Tucker, CL
机构
[1] Eindhoven Univ Technol, Dutch Polymer Inst, NL-5600 MB Eindhoven, Netherlands
[2] Univ Illinois, Dept Mech & Ind Engn, Urbana, IL 61801 USA
关键词
chaotic mixing; journal bearing flow; mapping method; eigenvalue analysis;
D O I
10.1002/fld.272
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
This paper deals with chaotic mixing in the journal bearing flow. A recently developed mapping technique is used to study the dynamics of this well-known prototype mixing flow. Eigenvalues and eigenmodes of the resulting mapping matrix are used to reveal different zones of mixing. Moreover, an extension of the technique, adding an area tensor to described structure on cell level, is used to determine rate of interfacial area during mixing. The technique is shown to be consistent with the more consuming front tracking model. Copyright (C) 2002 John Wiley Sons, Ltd.
引用
收藏
页码:189 / 196
页数:8
相关论文
共 11 条
[1]   CHAOTIC ADVECTION IN A STOKES-FLOW [J].
AREF, H ;
BALACHANDAR, S .
PHYSICS OF FLUIDS, 1986, 29 (11) :3515-3521
[2]  
Galaktionov OS, 2000, INT J NUMER METH FL, V32, P201, DOI 10.1002/(SICI)1097-0363(20000130)32:2<201::AID-FLD934>3.0.CO
[3]  
2-D
[4]   A global, multi-scale simulation of laminar fluid mixing: the extended mapping method [J].
Galaktionov, OS ;
Anderson, PD ;
Peters, GWM ;
Tucker, CL .
INTERNATIONAL JOURNAL OF MULTIPHASE FLOW, 2002, 28 (03) :497-523
[5]  
Joukowski N., 1904, T OTD FIZ NAUK OBSHC, V13, P24
[6]  
JOUKOWSKI NE, 1887, JB FORTSCHR MATH, V19, P1019
[7]   Analyzing mixing in periodic flows by distribution matrices: Mapping method [J].
Kruijt, PGM ;
Galaktionov, OS ;
Anderson, PD ;
Peters, GWM ;
Meijer, HEH .
AICHE JOURNAL, 2001, 47 (05) :1005-1015
[8]   THE STATISTICS OF STRETCHING AND STIRRING IN CHAOTIC FLOWS [J].
MUZZIO, FJ ;
SWANSON, PD ;
OTTINO, JM .
PHYSICS OF FLUIDS A-FLUID DYNAMICS, 1991, 3 (05) :822-834
[9]  
Ottino J. M., 1989, CAMBRIDGE TEXTS APPL
[10]   THE MIXING OF VERY VISCOUS LIQUIDS [J].
SPENCER, RS ;
WILEY, RM .
JOURNAL OF COLLOID SCIENCE, 1951, 6 (02) :133-145