Rotation of a Cylinder in a Casing at Zero Reynolds Number-Reference-Cited by-同舟云学术

Rotation of a Cylinder in a Casing at Zero Reynolds Number

Published:1995-09-01 Issue:3 Volume:62 Page:662-666
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Wang C. Y.¹

Affiliation:

1. Michigan State University, East Lansing, MI

Abstract

A finite solid cylinder rotates inside a larger, fluid-filled cylindrical casing. The Stokes equation is solved by an efficient method using domain decomposition, eigenfunction expansion, and collection. The resistive torque is found as a function of the geometric parameters. The torque due to the rotation of a finite cylinder in an infinite fluid is extrapolated.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/62/3/662/5464269/662_1.pdf

Reference16 articles.

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2. Brenner H. , and SonshineR. M., 1964, “Slow Viscous Rotation of a Sphere in a Circular Cylinder,” Quarterly Journal of Mechanics and Applied Mathematics, Vol. 17, pp. 55–63.

3. Chan P. C. , LeuR. J., and ZargarN. H., 1986, “On the solution for the rotational motion of an axisymmetric rigid body at low Reynolds number with application to a finite length cylinder,” Chemical Engineering Communications, Vol. 49, pp. 145–163.

4. Happel, J., and Brenner, H., 1986, Low Reynolds Number Hydrodynamics, Martinus Nijhoff, Dordrecht, The Netherlands.

5. Jeffrey G. B. , 1915, “On the Steady Rotation of a Solid of Revolution in a Viscous Fluid,” Proceedings of London Mathematical Society, Section 2, Vol. 14, pp. 327–338.