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.
- 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.
Rensselaer Polytechnic InstituteDepartment of Mathematics
Troy, NY USA 12180
- DiPrima, R C
- Stuart, J T
- Publication Date: 1972-4-28
- Pagination: 24 p.
- TRT Terms: Bearings; Journal bearings; Lubrication
- Old TRIS Terms: Bearing lubrication
- Subject Areas: Marine Transportation; Vehicles and Equipment;
- 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