The lift on a small sphere in a slow shear flow

• P. G. Saffman

抄録

It is shown that a sphere moving through a very viscous liquid with velocity V relative to a uniform simple shear, the translation velocity being parallel to the streamlines and measured relative to the streamline through the centre, experiences a lift force 81·2μ Va 2 k ½ / v ½ + smaller terms perpendicular to the flow direction, which acts to deflect the particle towards the streamlines moving in the direction opposite to V . Here, a denotes the radius of the sphere, κ the magnitude of the velocity gradient, and μ and v the viscosity and kinematic viscosity, respectively. The relevance of the result to the observations by Segrée & Silberberg (1962) of small spheres in Poiseuille flow is discussed briefly. Comments are also made about the problem of a sphere in a parabolic velocity profile and the functional dependence of the lift upon the parameters is obtained.

収録刊行物

• Journal of Fluid Mechanics

  Journal of Fluid Mechanics 22 (2), 385-400, 1965-06

  Cambridge University Press (CUP)

キーワード

• Mechanical Engineering
• Mechanics of Materials
• Condensed Matter Physics

詳細情報

• CRID: 1363670321183119360
• NII論文ID: 30022894602
• NII書誌ID: AA00698198
• DOI: 10.1017/s0022112065000824
• ISSN: 14697645
• ISSN: 00221120
• ISSN: http://id.crossref.org/issn/00221120
• Web Site: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022112065000824
• データソース種別:
  • Crossref
  • CiNii Articles