Author:
Joseph D. D.,Munson B. R.
Abstract
Energy and linear limits are calculated for the Poiseuille–Couette spiral motion between concentric cylinders which rotate rigidly and rotate and slide relative to one another. The addition of solid rotation can bring the linear limit down to the energy limit with coincidence achieved in the limit of infinitely fast rotation. If the differential rotation is also added, the solid rotation rate need be only finite to achieve near coincidence. Sufficient conditions for non-existence of sub-linear instability are derived. The basic spiral character of the instability is analysed and the results compared with the experiments of Ludwieg (1964).
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference28 articles.
1. Mott, J. E. & Joseph, D. D. 1968 Stability of parallel flow between concentric cylinders.Phys. Fluids,11,2065.
2. Nagib, H. M. , Wolf, L. , Lavan, Z. & Fejer, A. 1969 On the stability of flow in rotating pipes.Aero Res. Lab. Rep. 69–0176, Ill. Inst. Tech.
3. Sattinger, D. H. 1969 On the linearization of the equations of hydrodynamics.J. Math. Mech. 19,797.
4. Hughes, T. H. & Reid, W. H. 1968 The stability of spiral flow between rotating cylinders.Phil. Trans. Roy. Soc. A263,57.
5. Yudovich, V. I. 1965 Stability of steady flows of viscous incompressible fluids.Soviet Physics, Doklady,10,293.
Cited by
29 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献