Formation of spatial structures in Rayleigh–Bénard convection

Getling, A.V.

doi:10.1070/pu1991v034n09abeh002470

Cited by 52 publications

(30 citation statements)

References 19 publications

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“…The choice of the two-dimensional layer as the abstract mathematical object is mainly connected with the fact that this geometry can be quite easily realized in an experiment and provides certain conveniences for taking thermal and optical measurements. The two-dimensional horizontal layer is a matter of great importance in connection with the theory of convective stability applications in meteorology, geophysics and astrophysics [1,2].…”

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confidence: 99%

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Two-dimensional convection of an incompressible viscous fluid with the heat exchange on the free border

Svetlana

Yu.

2016

Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki

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The exact stationary solution of the boundary-value problem that describes the convective motion of an incompressible viscous fluid in the two-dimensional layer with the square heating of a free surface in Stokes's approach is found. The linearization of the Oberbeck-Boussinesq equations allows one to describe the flow of fluid in extreme points of pressure and temperature.The condition under which the counter-current flows (two counter flows) in the fluid can be observed, is introduced. If the stagnant point in the fluid exists, six non-closed whirlwinds can be observed.

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confidence: 99%

“…A brief survey of the articles and reviews, in which the possibilities of finding exact solutions to free convection equations and the research of stability of these solutions were studied [4][5][6][7][8][9][10], is given in the papers [1,2] and the reference lists.…”

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confidence: 99%

Two-dimensional convection of an incompressible viscous fluid with the heat exchange on the free border

Svetlana

Yu.

2016

Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki

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“…Speed of water leakage from the tap, calcu lated according to formula (6), corresponded to the angle of the long wire deflection, introduced into the jet perpendicular to the cylindrical sur face creating it.…”

Section: Measurement Of Velocity Of Mass Transfer In a Convective Cellmentioning

confidence: 99%

“…They include early ex perimental and theoretical papers [1,2], and lat er, but very informative papers, monographs and reviews on the subject [3][4][5][6].…”

Section: Introductionmentioning

confidence: 99%

Experimental study of liquid movement in free elementary convective cells

Bozbiei¹,

Borts²,

Kazarinov³

et al. 2015

energetika

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Elementary convection cells (ECC) are formed in horizontal layers of liquid heated from below, and they are experimentally investigated in this work. Results of experimental studies were adequately described by the theoretical model of ECC. It is shown that the addition of aluminum powder to oil transforms oil to a suspension, such that boundary conditions on the solid wall can be regarded as free because there is a slip through the tape of pure oil. Change in the character of boundary conditions is confirmed by the results of numerical processing of experimental results on formation of convective rings on the layer surface by other authors. Two independent methods for determining the velocity of mass transfer in cells with various diameters are described in the article. For cells with a large diameter (17 mm), the maximum velocity of mass transfer was measured at the upper boundary on a deflection angle of the probe. Measured in this way velocity was equal to V<sub>Oil</sub> ≈ 0.2 mm/sec. For cells with a smaller diameter (2 mm), the velocity of oil on the surface of a cell was measured using an optical method and constituted the value from 3.5 mm/s to 5.2 mm/s.

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“…In fact, pattern formation occurs in several natural phenomena, and thus constitutes the object of study in different scientific fields (Cross, 1993). Some of these phenomena are well known, such as Rayleigh-Bénard convection (Bénard, 1900;Rayleigh, 1916& Getling, 1991 and the Belousov-Zhabotinsky reactions (Petrov, 1997). The essence of biology itself is the self-organization and the subsequent pattern formation with the raising of emergent properties.…”

Section: Life Systems and Pattern Formationmentioning

confidence: 99%