In this study, the difference between the mean of the Rayleigh Probability Density Function and the mean obtained from the graph of Rayleigh Probability Density Function is minimized by changing the coefficient in the equation yielding the mean. By using various numbers of data and K values, Rayleigh Probability Density Function is plotted with the means mentioned above.

In numerical Rayleigh-BCnard convection at Rayleigh number lo5 and 5 x 105, Prandtl numbers 0.07, 0.7, and 7, and aspect ratios 3, 4 or 6, large-scale patterns are sought. For aspect ratio 6 and Pr = 0.7, saturation of the mean velocity is only observed after 20 convective timescales. Three-dimensional visualization shows a strong influence of the confining sidewalls and corners for all Prandtl...

In numerical Rayleigh-B enard convection at Rayleigh number 10 5 and 5 10 5 , Prandtl numbers 0.07, 0.7, and 7, and aspect ratios 3, 4 or 6, large-scale patterns are sought. For aspect ratio 6 and P r = 0:7, saturation of the mean velocity is only observed after 20 convective timescales. Three-dimensional visualization shows a strong innuence of the connning sidewalls and corners for all Prandt...

In this paper, the bioconvective flow in a porous square cavity containing oxytactic microorganism in the presence of chemical reaction is investigated. The bioconvection flow and heat transfer in porous media are formulated based on the Darcy model of Boussinesq approximation. The governing partial differential equations are solved using the Galerkin finite element method. The computational nu...

We report the numerical simulations of the horizontal convection within a rectangle cavity tank at high Rayleigh numbers. The physical solution of horizontal convection depends on the spatial resolution of the meshes. The necessary mesh number N is proportion to Ra. The unstable numerical solutions are obtained asN < cRa. This power law also implies that the spatial resolution is dominated by v...

Steady natural convection flow in an inclined square cavity filled with a porous medium has been investigated. It is assumed that the cavity is heated on one wall and cooled from an adjacent wall, while the other two walls are adiabatic. The governing dimensionless partial differential equations have been solved numerically for the stream function, isotherms, and the local and average Nusselt n...

A numerical study to investigate the steady laminar natural convection flow in a square cavity with uniformly and non-uniformly heated bottom wall, and adiabatic top wall maintaining constant temperature of cold vertical walls has been performed. A penalty finite element method with bi-quadratic rectangular elements has been used to solve the governing mass, momentum and energy equations. The n...

A thermal lattice Boltzmann method based on the BGK model has been used to simulate high Rayleigh number natural convection in a square cavity. The model uses the double populations approach to simulate hydrodynamic and thermal fields. The traditional lattice Boltzmann method on a uniform grid has unreasonably high grid requirements at higher Rayleigh numbers which renders the method impractica...