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The paper presents a theoretical study using the Karman-Pohlhausen method for describing the transient heat exchange between the boundary-layer free convection and a vertical flat plate embedded in a porous medium. The unsteady behavior is…

Fluid Dynamics · Physics 2015-09-15 Jian-Jun Shu , I. Pop

A Rayleigh B\'enard instability study using the energy conserving dissipative particle dynamics method is presented here for the first time. The simulation is performed on an ideal dissipative particle dynamics fluid in a three dimensional…

Statistical Mechanics · Physics 2012-01-19 Anuj Chaudhri , Jennifer R. Lukes

We are investigating the effective heat transfer in complex systems involving porous media and surrounding fluid layers in the context of mathematical homogenization. We differentiate between two fundamentally different cases: Case (a),…

Analysis of PDEs · Mathematics 2024-05-01 Michael Eden , Tom Freudenberg

Thermal forces drive several nonequilibrium phenomena able to set a fluid in motion without pressure gradients. Although the most celebrated effect is thermophoresis, also known as Ludwig-Soret effect, probably the simplest example where…

Statistical Mechanics · Physics 2022-08-31 Pietro Anzini , Zeno Filiberti , Alberto Parola

A ubiquitous arrangement in nature is a free-flowing fluid coupled to a porous medium, for example a river or lake lying above a porous bed. Depending on the environmental conditions, thermal convection can occur and may be confined to the…

Fluid Dynamics · Physics 2022-12-21 Matthew McCurdy , Nicholas J. Moore , Xiaoming Wang

Rayleigh-B\'enard convection, i.e. the flow of a fluid between two parallel plates that is driven by a temperature gradient, is an idealised setup to study thermal convection. Of special interest are the statistics of the turbulent…

We discuss a thin film evolution equation for a wetting evaporating liquid on a smooth solid substrate. The model is valid for slowly evaporating small sessile droplets when thermal effects are insignificant, while wettability and…

Soft Condensed Matter · Physics 2012-04-11 Desislava Todorova , Uwe Thiele , Len M. Pismen

Various parameters affect the foam stability: surface and bulk rheology of the solution, gravitational drainage, mechanical vibrations, bubble gas composition, and also evaporation. Evaporation is often considered through the prism of a…

Soft Condensed Matter · Physics 2023-09-20 François Boulogne , Emmanuelle Rio , Frédéric Restagno

We address a problem which is mathematically reminiscent of the one of Anderson localization, although it is related to a strongly dissipative dynamics. Specifically, we study thermal convection in a horizontal porous layer heated from…

Fluid Dynamics · Physics 2013-10-03 Denis S. Goldobin , Elizaveta V. Shklyaeva

In the preparation of Caf\'e Latte, spectacular layer formation can occur between the expresso shot in a glass of milk and the milk itself. Xue et al. (Nat. Commun., vol. 8, 2017, pp. 1-6) showed that the injection velocity of expresso…

Fluid Dynamics · Physics 2023-07-19 K. L. Chong , R. Yang , Q. Wang , R. Verzicco , D. Lohse

The present study experimentally and numerically investigates the evaporation and resultant patterns of dried deposits of aqueous colloidal sessile droplets, when the droplets are initially elevated to a high temperature before being placed…

Patterns forming spontaneously in extended, three-dimensional, dissipative systems are likely to excite several homogeneous soft modes ($\approx$ hydrodynamic modes) of the underlying physical system, much more than quasi one- and…

Pattern Formation and Solitons · Physics 2009-10-31 Axel G. Rossberg

The absorption of light or radiation drives turbulent convection inside stars, supernovae, frozen lakes and the Earth's mantle. In these contexts, the goal of laboratory and numerical studies is to determine the relation between the…

Fluid Dynamics · Physics 2021-01-08 Simon Lepot , Sébastien Aumaître , Basile Gallet

We present Monte Carlo simulation data obtained for the annealed surface GaN(0001) and compare them with the experimental data. High temperature particle evaporation is a part of substrate preparation processes before epitaxy. The ideal…

Motivated by nuclear safety issues, we study the heat transfers in a thin cylindrical fluid layer with imposed fluxes at the bottom and top surfaces (not necessarily equal) and a fixed temperature on the sides. We combine direct numerical…

Fluid Dynamics · Physics 2024-01-17 Florian Rein , Laure Carénini , Florian Fichot , Benjamin Favier , Michael Le Bars

Moist convection is a physical process where the latent heat released by condensation acts as a buoyancy source that can enhance or even trigger an overturning convective instability. Since the saturation temperature often decreases with…

The phenomenon of convection is found in a wide variety of settings on different scales -- from applications in the cooling technology of laptops to heating water on a stove, and from the movement of ocean currents to describing…

Fluid Dynamics · Physics 2022-02-07 Harieth Mhina , Samira Souley Hassane , Matthew McCurdy

We present a numerical study of convection in a horizontal layer comprising a fluid-saturated porous bed overlain by an unconfined fluid layer. Convection is driven by a vertical, destabilising temperature difference applied across the…

Fluid Dynamics · Physics 2021-07-07 Thomas Le Reun , Duncan R. Hewitt

It has been previously shown (Phys. Rev. E 66, 066305, 2002) that a non-rotating turbulent convection with nonuniform large-scale flows contributes to the turbulent heat flux. As a result, the turbulent heat flux depends explicitly not only…

Fluid Dynamics · Physics 2024-04-19 G. Orian , A. Asulin , E. Tkachenko , N. Kleeorin , A. Levy , I. Rogachevskii

This paper reports on a theoretical analysis of the rich variety of spatio-temporal patterns observed recently in inclined layer convection at medium Prandtl number when varying the inclination angle $\gamma$ and the Rayleigh number $R$.…

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