Abstract
An approximate solution of the equation which governs the inviscid modes of instability of steady flow between concentric rotating cylinders is derived. The problem is treated in the narrow-gap approximation, and the solution is applicable over the entire range of opposite rotation rates, but is limited to the treatment of disturbances which are nearly axially symmetric. Numerical results are given for the limiting cases where the ratio of angular velocities of the cylinders approaches zero and minus infinity. It is found that the growth rates of unstable modes which are very nearly symmetric are always less than the growth rate of the corresponding axisymmetric mode.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
