MEASUREMENT OF THE TRANSLATIONAL AND ROTATIONAL VELOCITIES OF A NONCOLLOIDAL SPHERE ROLLING DOWN A SMOOTH INCLINED PLANE AT LOW REYNOLDS-NUMBER

被引：74

作者：

SMART, JR ^{[1
]}

BEIMFOHR, S ^{[1
]}

LEIGHTON, DT ^{[1
]}

机构：

[1] UNIV NOTRE DAME,DEPT CHEM ENGN,NOTRE DAME,IN 46556

来源：

PHYSICS OF FLUIDS A-FLUID DYNAMICS | 1993年 / 5卷 / 01期

关键词：

D O I：

10.1063/1.858799

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The translational and rotational velocities of a sphere rolling down an inclined plane at low Reynolds number were measured as a function of the angle of inclination of the plane. Both 140 mum glass and 6350 mum diam acrylic particles were used. A theoretical model including the effects of particle surface roughness was developed, and is in quantitative agreement with the measurements. In addition, statistically significant velocity fluctuations were measured and are explained by variation in the coefficient of friction of the sphere. The disagreement between the measurements of Carty (B.S. thesis, Massachusetts Institute of Technology, 1957) and the theory of Goldman et al. [Chem. Eng. Sci. 22, 637 (1967)] is explained.

引用

页码：13 / 24

页数：12

共 9 条

[1] THE SLOW MOTION OF A SPHERE THROUGH A VISCOUS FLUID TOWARDS A PLANE SURFACE [J].