Abstract
Stable solutions of a 2D symmetrical two-sided square lid-driven cavity are numerically determined with spectral accuracy. In addition to the expected symmetrical solutions, a set of two non-symmetrical solutions, mirror images of one another, are obtained for Reynolds number (Re) greater than a critical value, Re1 by suitably eliminating one of the symmetrical solutions. The symmetrical solutions which are reported in this paper are obtained for Re⩽4000 and are all steady. The non-symmetrical solutions are computed for large values of Re until these solutions become unsteady, at a second critical Re,Re2, viz., for Re⩾Re2>Re1. The transition from a non-symmetrical solution to its symmetrical counterpart upon reducing the Re below Re1 is addressed. It is observed that the symmetric solutions are those which maximize the flow kinetic energy per unit input energy.
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.
