NON-LOCAL EFFECTS IN THE STABILITY OF FLOW BETWEEN ECCENTRIC ROTATING CYLINDERS

The linear stability of the flow between two long eccentric rotating circular cylinders is considered. The problem, which is of interest in lubrication technology, is an extension of the classical Taylor problem for concentric cylinders. The basic flow has components in the radial and azimuthal directions and depends on both of these co-ordinates. As a consequence the linearized stability equations are partial differential equations rather than ordinary differential equations. Thus standard methods of stability theory are not immediately useful. By letting the clearance ratio and eccentricity tend to zero in a given way a global solution to the stability problem is obtained.

  • Supplemental Notes:
    • Also available in Journal of Fluid Mechanics, V54 Pt3, pp 393-415, 1972. Prepared in cooperation with Imperial College of Science and Technology, London, England. Sponsored in part by Army Research Office (Durham). Revision of report dated 5 January 1972.
  • Corporate Authors:

    Rensselaer Polytechnic Institute

    Department of Mathematics
    Troy, NY  USA  12180
  • Authors:
    • DiPrima, R C
    • Stuart, J T
  • Publication Date: 1972-4-28

Media Info

  • Pagination: 24 p.

Subject/Index Terms

Filing Info

  • Accession Number: 00043223
  • Record Type: Publication
  • Source Agency: National Technical Information Service
  • Contract Numbers: N00014-67A-0117-0001
  • Files: TRIS
  • Created Date: Apr 6 1973 12:00AM