Effects of Curved Temperature Profiles on the Benard-Rayleigh Convective Instability

Pretransitional Effects in the Rayleigh-benard Instability

The Effects of Thermal Noise in a Rayleigh-Benard Cell Near Its First Convective Instability

In recent experiments on the initial stages of pattern formation in a Rayleigh Benard convection cell, Meyer e t al. I1) observed very irregular patterns. In these experiments, the fluid was subjected to a heat current that varied either linearly or periodically in time from below to above the onset of the first instability. If the side wall of the cylindrical cell was made of a material with a...

Stability for Rayleigh - Benard convective solutions of the Boltzmann equation

We consider the Boltzmann equation for a gas in a horizontal slab, subject to a gravitational force. The boundary conditions are of diffusive type, specifying the wall temperatures, so that the top temperature is lower than the bottom one (Benard setup). We consider a 2-dimensional convective stationary solution, which is close for small Knudsen number to the convective stationary solution of t...

Thermal Radiation in Rayleigh-Benard Instability

Thermal radiation from finite-conductivity boundaries can strongly affect the stability of horizontally unbounded, plane fluid layers heated from below. The role of thermal radiation in plane layer instabilities is studied under the assumption that the fluid medium is transparent, as a model of infrared transfer through gas layers. The solution procedure modifies a previous formulation of the c...

Investigation on Instability of Rayleigh-Benard Convection Using Lattice Boltzmann Method with a Modified Boundary Condition

In this study, the effects of Prandtl number on the primary and secondary instability of the Rayleigh-Benard convection problem has been investigated using the lattice Boltzmann method. Two different cases as Pr=5.8 and 0.7 representing the fluid in liquid and gas conditions are examined. A body forces scheme of the lattice Boltzmann method was presented. Two types of boundary conditions in the...