On the Motion of Spheres in a Fluid at Low Reynolds Numbers (Two Equal-Sized Spheres Moving Along Their Center Lines)

• KUMAGAI Teruo

• MURAOKA Masahiro

Abstract

The velocities and drag forces experienced by two equal-sized spheres freely falling along their center lines are measured using the "falling-spheres" technique at low Reynolds numbers. The width of the test tank, which has a square cross section, is 100 times the diameter of the spheres used. The measurements, with an estimated uncertainty of ±1.2%, show that the lower sphere experiences the Oseen drag and that the upper sphere experiences the Stokes drag, which was predicted by Stimson and Jeffery. Flow visualization using a naturally occurring phenomenon in glycerol illustrates the difference in the hydrodynamic drag force between the lower sphere and the upper sphere. The numerical calculations of Stimson-Jeffery's solution reveal in detail the occurrence of vortex flows within a closed separating region between the two spheres.

Journal

• JSME international journal. Ser. 2, Fluids engineering, heat transfer, power, combustion, thermophysical properties

  JSME international journal. Ser. 2, Fluids engineering, heat transfer, power, combustion, thermophysical properties 32 (3), 309-316, 1989

  The Japan Society of Mechanical Engineers

Keywords

• Fluid Mechanics
• Multiphase Flow
• Cluster of Spheres
• Two Equal Spheres
• Hudrodynamic Drag/ Flow visualization

Details

• CRID: 1390001205426685184
• NII Article ID: 110002494267
• NII Book ID: AA10680596
• DOI: 10.1299/jsmeb1988.32.3_309
• ISSN: 09148817
• ISSN: http://id.crossref.org/issn/09148817
• Web Site: https://www.jstage.jst.go.jp/article/jsmeb1988/32/3/32_3_309/_pdf
• Text Lang: en
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed