Abstract
The onset of convection in binary fluid mixtures in a vertical cylinder is considered. Parameter values and boundary conditions relevant to experiments on $^{3}\mathrm{\ensuremath{-}}^{4}$He and water-ethanol mixtures with negative separation ratio are used. The azimuthal wave number of the first unstable mode is calculated as a function of the separation ratio, as are the critical Rayleigh numbers and oscillation frequencies. The eigenfunctions take the form of left-handed or right-handed rigidly rotating spirals. Depending on the azimuthal wave number, the spirals may be spatially extended, filling the container, or confined to its boundary. The results are compared with ongoing experiments.
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.
