A numerical analysis of the three-dimensional rayleigh-benard convection spectra

The problem of the incompressible liquid convection between two horizontal planes heated on the underside is considered in the three-dimensional statement. The horizontal boundaries are assumed to be free of tangential stresses and isothermal. The calculated temporal spectrum of the temperature pulsations at the convection cell center at a supercriticality of 410 agrees well with the experimental measurement result. The Bolgiano-Obukhov (BO), k ^−11/5, k ⁻³, and k ⁻⁵, were obtain for the velocity pulsations. The Kolmogorov spectra k ^−5/3 and k ^−2.4 were obtained for the temperature pulsations. The presence of clearly identified spectra in the convective flow under study allows this process to be characterized as developed turbulence.