Hostname: page-component-7dd5485656-bt4hw Total loading time: 0 Render date: 2025-10-30T07:17:40.283Z Has data issue: false hasContentIssue false
  • English
  • Français

Stability of spiral flow between concentric circular cylinders at low axial Reynolds number

Published online by Cambridge University Press:  28 March 2006

Subhendu K. Datta
Subhendu K. Datta*
Affiliation:
Department of Mathematics, Rensselaer Polytechnic Institute, Troy, N.Y.
*
* Present address: Department of Aerospace Engineering Sciences, University of Colorado, Boulder, Colorado.
Get access Rights & Permissions [Opens in a new window]

Extract

The stability of a viscous liquid between two concentric rotating cylinders with an axial flow has been investigated. Attention has been confined to the case when the cylinders are rotating in the same direction, the gap between the cylinders is small and the axial flow is small. A perturbation theory valid in the limit when the axial Reynolds number R → 0 has been developed and corrections have been obtained for Chandrasekhar's earlier results.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 21 , Issue 4 , April 1965 , pp. 635 - 640
Copyright
Copyright © Cambridge University Press 1965

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

Chandrasekhar, S. 1960 Proc. Nat. Acad. Sci. 46, 141.Google Scholar
Chandrasekhar, S. 1961 Hydrodynamic and Hydromagnetic Stability. Oxford University Press.Google Scholar
Chandrasekhar, S. 1962 Proc. Roy. Soc. A, 265, 188.Google Scholar
DiPrima, R. C. 1960 J. Fluid Mech. 9, 621.Google Scholar
DiPrima, R. C. 1961 Q. Appl. Math. 18, 375.Google Scholar
Donnelly, R. & Fultz, D. 1960 Proc. Nat. Acad. Sci. 46, 1150.Google Scholar
Goldstein, S. 1937 Proc. Camb. Phil. Soc. 33, 41.Google Scholar
Krueger, E. R. & DiPrima, R. C. 1963 Univ. of Wisconsin MRC Tech. Rep. no. 430 (to be published in J. Fluid Mech.).Google Scholar
Snyder, H. 1962 Proc. Roy. Soc. A, 265, 198.Google Scholar