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Rayleigh-Bénard convection instability in the presence of temperature variation at the lower wall

By Jovanović Miloš M., Živković Dragan S. and Nikodijević Jelena D.

Abstract

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

Topics: direct numerical simulation of Navier-Stokes equation, Oberbeck-Boussinesq approximation, Rayleigh and Prandtl number, nonlinear stability analysis, Mechanical engineering and machinery, TJ1-1570, Technology, T, DOAJ:Mechanical Engineering, DOAJ:Technology and Engineering
Publisher: VINCA Institute of Nuclear Sciences
Year: 2012
DOI identifier: 10.2298/TSCI120505169J
OAI identifier: oai:doaj.org/article:0406cd7a229b4f538c8d55511cdbefc9
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