Abstract
In the present work, we consider the linear and nonlinear hydrodynamic stability problems of two-dimensional Rayleigh–Bénard convection in arbitrary finite domains. The effects of the domain shapes on the critical Rayleigh number and convection pattern are investigated by means of a linear stability analysis employing a Chebyshev pseudospectral method. An extension of the present technique to nonlinear stability analysis allows derivation of the Landau equation for arbitrary finite domains. The results of nonlinear stability analysis are confirmed by comparison with numerical solution of the Boussinesq set. The results of the present investigation may be exploited to enhance or suppress thermal convection by varying system domain.
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.
