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Rayleigh-Bénard convection with throughflow - a comparative study between the single-term and higher order Galerkin methods

Shivakumara I. S., Suma S. P.

Applied Mechanics and Engineering

2000

Vol. 5, no 3

507-520

Effects of non-uniform temperature gradient, vertical transport of momentum and vertical transport of perturbation temperature due to throughflow are investigated on the Rayleigh-Bénard convection for different hydrodynamic boundary conditions. The eigenvalue problem for the conducting boundaries is solved by the higher-order Galerkin method. It is shown that the throughflow in one particular direction destabilizes the system depending on the value of the Prandtl number. Also a comparison between the results of single-term and higher order Galerkin methods is made and limitations of the single-term Galerkin method are clearly brought out.