Abstract
The results of a theoretical treatment are presented for the slow flow of a viscous fluid through a circular cylinder within which a small spherical particle is confined. The sphere is situated in an arbitrary position within the cylinder, rotates with an arbitrary constant angular velocity and moves at constant velocity parallel to the wall. Approximate expressions are presented which give the frictional force, torque, and permanent pressure drop caused by the presence of this obstacle in the original Poiseuillian field of flow.An eccentricity function for the torque on a sphere in a circular cylinder was evaluated numerically. It can be used to predict the wall-effect for the torque as well as the angular velocity with which a ‘dense’ spherical particle will rotate. Expressions are presented which predict the angular velocity of ‘dense’ as well as neutrally buoyant hydrodynamically supported spherical particles.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference6 articles.
1. Greenstein, T. 1967 Ph.D. Thesis,New York University.
2. Happel, J. & Brenner, H. 1965 Low Reynolds Number Hydrodynamics .Englewood Cliffs, N.J.:Prentice-Hall.
3. Happel, J. & Brenner, H. 1957 A.I.Ch.E. J. 3,506; also supplement deposited as document 5441 with the American Documentation Institute, Library of Congress, Washington, D.C.
4. Brenner, H. & Happel, J. 1958 J. Fluid Mech. 4,195.
5. Famularo, J. 1962 D.Eng.Sci. thesis,New York University.
Cited by
44 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献