Rayleigh–Bénard convection, thirty years of experimental, theoretical, and modeling work
نویسندگان
چکیده
A brief review of Rayleigh–Bénard studies performed all along the twentieth century is presented, with an emphasis on the transition to turbulence and the appropriate theoretical framework, relying on the strength of confinement effects and the distance to threshold, either dynamical systems for temporal chaos in the strongly confined case, or models of space-time chaos when confinement effects are weak.
منابع مشابه
Simulation of Rayleigh-Bénard convection using lattice Boltzmann method
Rayleigh-Bénard convection is numerically simulated in twoand three-dimensions using a recently developed two-component lattice Boltzmann equation (LBE) method. The density field of the second component, which evolves according to the advection-diffusion equation of a passive-scalar, is used to simulate the temperature field. A body force proportional to the temperature is applied, and the syst...
متن کاملPositive Feedback Control of Rayleigh-bénard Convection
We consider the problem of active feedback control of RayleighBénard convection via shadowgraphic measurement. Our theoretical studies show, that when the feedback control is positive, i.e. is tuned to advance the onset of convection, there is a critical threshold beyond which the system becomes linearly ill-posed so that short-scale disturbances are greatly amplified. Experimental observation ...
متن کاملInfinite Prandtl Number Limit of Rayleigh-Bénard Convection
We rigorously justify the infinite Prandtl number model of convection as the limit of the Boussinesq approximation to the Rayleigh-Bénard convection as the Prandtl number approaches infinity. This is a singular limit problem involving an initial layer.
متن کاملRayleigh-Bénard Simulation using Gas-kinetic BGK Scheme in the Incompressible Limit
In this paper, a gas-kinetic BGK model is constructed for the Rayleigh-Bénard thermal convection in the incompressible flow limit, where the flow field and temperature field are described by two coupled BGK models. Since the collision times and pseudo-temperature in the corresponding BGK models can be different, the Prandtl number can be changed to any value instead of a fixed Pr = 1 in the ori...
متن کاملTemperature statistics in turbulent Rayleigh–Bénard convection
Rayleigh–Bénard (RB) convection in the turbulent regime is studied using statistical methods. Exact evolution equations for the probability density function of temperature and velocity are derived from first principles within the framework of the Lundgren–Monin–Novikov hierarchy known from homogeneous isotropic turbulence. The unclosed terms arising in the form of conditional averages are estim...
متن کامل