Drag on spheres in micropolar fluids with non-zero boundary conditions for microrotations

被引：56
作者：
Hoffmann, Karl-Heinz
Marx, David
Botkin, Nikolai D.
机构：
[1] Tech Univ Munich, Dept Appl Math, D-85747 Garching, Germany
[2] Humboldt Univ, DFG Res Ctr Matheon, D-10099 Berlin, Germany
来源：
JOURNAL OF FLUID MECHANICS | 2007年 / 590卷
关键词：
D O I：
10.1017/S0022112007008099
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
The Stokes formula for the resistance force exerted on a sphere moving with constant velocity in a fluid is extended to the case of micropolar fluids. A non-homogeneous boundary condition for the micro-rotation vector is used: the micro-rotation on the boundary of the sphere is assumed proportional to the rotation rate of the velocity field on the boundary.
引用
收藏
页码：319 / 330
页数：12
相关论文
共 14 条
[1]  
[Anonymous], FLUID MECH COURSE TH
[2]   DYNAMICS OF POLAR FLUIDS [J].
ERDOGAN, ME .
ACTA MECHANICA, 1972, 15 (3-4) :233-&
[3]  
Eringen A.C., 1964, Int. J. Eng. Sci, V2, P205, DOI [10.1016/0020-7225, DOI 10.1016/0020-7225, DOI 10.1016/0020-7225(64)90005-9]
[4]  
ERINGEN AC, 1964, J MATH MECH, V16, P1
[5]   Slow viscous flows in micropolar fluids [J].
Hayakawa, H .
PHYSICAL REVIEW E, 2000, 61 (05) :5477-5492
[6]   EXPERIMENTAL-DETERMINATION OF MATERIAL MICROPOLAR FLUID CONSTANTS [J].
KOLPASHCHIKOV, VL ;
MIGUN, NP ;
PROKHORENKO, PP .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1983, 21 (04) :405-411
[7]  
Loitsyanskii L. G., 1996, MECH LIQUIDS GASES
[8]  
LUKASZEWICZ G, 1999, MICROPOLAR FUIDS THE
[9]   Laminar fluid behavior in microchannels using micropolar fluid theory [J].
Papautsky, I ;
Brazzle, J ;
Ameel, T ;
Frazier, AB .
SENSORS AND ACTUATORS A-PHYSICAL, 1999, 73 (1-2) :101-108
[10]   DRAG ON AN AXIALLY-SYMMETRIC BODY IN STOKES FLOW OF MICROPOLAR FLUID [J].
RAMKISSOON, H ;
MAJUMDAR, SR .
PHYSICS OF FLUIDS, 1976, 19 (01) :16-21
12