THERMAL SCIENCE

International Scientific Journal

Miloš M. Jovanović

,

Dragan S. Živković

,

Jelena D. Nikodijević

RAYLEIGH-BéNARD CONVECTION INSTABILITY IN THE PRESENCE OF TEMPERATURE VARIATION AT THE LOWER WALL

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.
KEYWORDS
direct numerical simulation of Navier-Stokes equation, Oberbeck- Boussinesq approximation, Rayleigh and Prandtl number, nonlinear stability analysis
PAPER SUBMITTED: 2012-05-05
PAPER REVISED: 2012-09-20
PAPER ACCEPTED: 2012-09-25
DOI REFERENCE: https://doi.org/10.2298/TSCI120505169J
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2012, VOLUME 16, ISSUE Supplement 2, PAGES [S281 - S294]
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Rayleigh-Bénard convection instability in the presence of temperature variation at the lower wall

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