Abstract
Free two-dimensional motion of a gravitational system of two unfixed rotating cylinders in incompressible fluid is considered. Undisturbed state of the system is determined by viscous Couette flow between the coaxial cylinders. The stability investigation of the central position of the cylinders is conducted in terms of the nonviscous fluid equation for rotating coordinates, in which the flow is suggested to be potential. Critical parameter values and spectral characteristics of the system are found. Quality of the neutral curves obtained is determined by the value of the single parameter of the problem equal the internal cylinder density - fluid density relation. It is shown that in case of parameter exceeding 1 and gravity absence the radial luft of the cylinder axes results in disturbance growth in the range being stable as to Rayleigh criterium.
| Original language | English |
|---|---|
| Pages (from-to) | 110-119 |
| Number of pages | 10 |
| Journal | Izvestiya Akademii Nauk. Mekhanika Zhidkosti I Gaza |
| Issue number | 5 |
| State | Published - 1 Sep 1991 |
ASJC Scopus subject areas
- Mechanical Engineering