Abstract

In the first part of this paper we have derived an adjoint system of equations for the set of equations characterising the solution of the stability of viscous flow between two rotating cylinders, when the marginal stability is assumed not to be stationary. Then the adjoint system of differential equations has been solved to arrive at a simpler secular equation than the one obtained by Chandrasekhar. By a different approach than that of Chandrasekhar's, an attempt is made to show that for μ, which is defined as the ratio of the velocities Ω1 and Ω2 with which the inner and outer cylinders are rotated, greater than zero, there is no possibility of the instability setting in as overstability.

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 call

Disclaimer: 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.