Turbulent convection of fluids heated from below and cooled from above, which is known in literature as Rayleigh–Bénard convection (RBC) [1]–[2], is one of the classical problems in fluid dynamics. The most interesting examples of this process are convection in atmospheres, in oceans, on surfaces of stars. There are three main parameters characterizing fluid motion in RBC: the Rayleigh number R...

OBJECTIVE To assess whether obesity and systemic inflammation are potential determinants of circulating adiponectin concentrations and whether low adiponectin levels cluster with metabolic syndrome features that are previously documented cardiovascular risk factors in rheumatoid arthritis (RA). METHODS We investigated 33 RA patients who were treated with the TNF-alpha antagonist infliximab, i...

Measurements of the Nusselt number and properties of the large-scale circulation (LSC) are presented for turbulent Rayleigh–Bénard convection in water-filled cylindrical containers (Prandtl number Pr =4.38) with aspect ratio Γ =0.50. They cover the range 2× 10 <∼ Ra <∼ 1× 10 of the Rayleigh number Ra. We confirm the occurrence of a double-roll state (DRS) of the LSC and focus on the statistics ...

Bounds are derived for rotating Rayleigh–Bénard convection with free slip boundaries as a function of the Rayleigh, Taylor and Prandtl numbers ${\textit {Ra}}$ , {Ta}}$ {Pr}}$ . At infinite {Ta}} &gt; 130$ Nusselt number {Nu}}$ obeys {Nu}} \leqslant \frac {7}{36} \left ({4}/{{\rm \pi} ^2} \right )^{1/3} {\textit {Ra}} {Ta}}^{-1/3}$ whereas kinetic energy density $E_{kin}$ $E_{kin} ({7}/{72 {\rm...

The Mixed Scale Diffusivity Model, originally developed in the case of the differentially heated cavity, is applied to compute turbulent Rayleigh-Bénard flow in an infinite fluid layer at Pr = 0.71 for a large range of Rayleigh numbers (6.3 × 10 – 2 × 10). The effect of this SGS modelling, which adjusts locally the SGS diffusivity to the thermal scales of the flow and results in variable PrSGS ...

Experimental and numerical data for the heat transfer as a function of the Rayleigh, Prandtl, and Rossby numbers in turbulent rotating Rayleigh-Bénard convection are presented. For relatively small Ra approximately 10(8) and large Pr modest rotation can enhance the heat transfer by up to 30%. At larger Ra there is less heat-transfer enhancement, and at small Pr less, similar 0.7 there is no hea...

We investigate how the heat flux $Nu$ scales with imposed temperature gradient $Ra$ in homogeneous Rayleigh–Bénard convection using one-, two- and three-dimensional simulations on logarithmic lattices. Logarithmic lattices are a new spectral decimation framework which enables us to span an unprecedented range of parameters ( , $Re$ $\Pr$ ) test existing theories little computational power. firs...

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We numerically analyze Non-Oberbeck-Boussinesq (NOB) effects in two-dimensional Rayleigh-Bénard flow in glycerol, which shows a dramatic change in the viscosity with temperature. The results are presented both as functions of the Rayleigh number Ra up to 10 (for fixed temperature difference ∆ between the top and bottom plates) and as functions of ∆ (“nonOberbeck-Boussinesqness” or “NOBness”) up...