%0 Journal Article
%T Rayleigh-B¨¦nard convection instability in the presence of temperature variation at the lower wall
%A Jovanovi£¿ Milo£¿ M.
%A £¿ivkovi£¿ Dragan S.
%A Nikodijevi£¿ Jelena D.
%J Thermal Science
%D 2012
%I VIN?A Institute of Nuclear Sciences
%R 10.2298/tsci120505169j
%X This paper analyzes the two-dimensional viscous fluid flow between two parallel plates, where the lower plate is heated and the upper one is cooled. The temperature difference between the plates is gradually increased during a certain time period, and afterwards it is temporarily constant. The temperature distribution on the lower plate is not constant in x-direction, and there is longitudinal sinusoidal temperature variation imposed on the mean temperature. We investigate the wave number and amplitude influence of this variation on the stability of Rayleigh-Benard convective cells, by direct numerical simulation of 2-D Navier-Stokes and energy equation.
%K direct numerical simulation of Navier-Stokes equation
%K Oberbeck-Boussinesq approximation
%K Rayleigh and Prandtl number
%K nonlinear stability analysis
%U http://www.doiserbia.nb.rs/img/doi/0354-9836/2012/0354-98361200169J.pdf