Slowly-Varying Amplitude of the Taylor Vortices near the Instability Point
- 1 February 1977
- journal article
- Published by Oxford University Press (OUP) in Progress of Theoretical Physics
- Vol. 57 (2) , 347-360
- https://doi.org/10.1143/ptp.57.347
Abstract
The Taylor instability in a rotating fluid between two coaxial cylinders is studied. An equation which governs the time-dependent behavior of the flow velocity amplitude near the instability point is derived. The stationary amplitude of the flow velocity is calculated numerically with the aid of the Galerkin method. Results of the numerical calculations are shown to be in good agreement with experimental data on the mean torque and the local flow velocity.Keywords
This publication has 3 references indexed in Scilit:
- Nonlinear Stability TheoryAnnual Review of Fluid Mechanics, 1971
- BRANCHING ANALYSIS FOR THE TAYLOR PROBLEMThe Quarterly Journal of Mechanics and Applied Mathematics, 1969
- Experiments on the stability of viscous flow between rotating cylinders I. Torque measurementsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1958