The analysis of physical datasets using modern methods developed in machine learning presents unique challenges and opportunities. These datasets typically feature many degrees of freedom, which tends to increase the computational cost of statistical methods and complicate interpretation. In addition, physical systems frequently exhibit a high degree of symmetry that should be exploited by any ...

We show that if we take a thin layer of fluid where surface tension effects are supposed to dominate and gradually bring the mean temperature of the layer closer and closer to the liquid vapor critical point, then first there is a crossover from Marangoni to Rayleigh-Benard convection and thence to a convection whose onset is determined by the Schwarzchild criterion.

The paper discusses methods for visualizing surface phenomena in gas-liquid systems caused by thermocapillary convection and Rayleigh-Benard conv

Spontaneous and stochastic reversal of large scale flow structure is an intriguing crucial phenomenon in turbulent Rayleigh-Benard type natural convection. This paper proposes a new control app...

The linear thermal instability of a horizontal fluid layer with time-periodic temperature distribution is studied with the help of the Floquet theory. The time-dependent part of the temperature has been expressed in Fourier series. Disturbances are assumed to be infinitesimal. Only even solutions are considered. Numerical results for the critical Rayleigh number are obtained at various Prandtl ...

Bounds for the bulk heat transport in Rayleigh-Benard convection for an infinite Prandtl number fluid are derived from the primitive equations. The enhancement of heat transport beyond the minimal conduction value (the Nusselt number Nu) is bounded in terms of the nondimensional temperature difference across the layer (the Rayleigh number Ra) according to Nu ≤ c Ra where c < 1 is an absolute co...

We present measurements of the Nusselt number N as a function of the Rayleigh number R in cylindrical cells with aspect ratios 0. 5</=gamma identical withD/d</=12.8 ( D is the diameter and d is the height). We used acetone with a Prandtl number sigma = 4.0 for 10(5) less, similarR less, similar4x10(10). A fit of a power law N = N(0)R(gamma(eff)) over limited ranges of R yielded values of gamma(...