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Найдено документов в текущей БД: 2

    Microconvection in vertical channel at given heat flux
/ V. B. Bekezhanova, I. A. Shefer // J. Phys. Conf. Ser. - 2016. - Vol. 754, Is. 2, DOI 10.1088/1742-6596/754/2/022001 . - ISSN 1742-6588
Аннотация: A problem on stability of the viscous heat-conducting liquid flow in the vertical channel at given heat flux on the permeable solid walls is studied. The two-dimensional flow is described by an exact invariant solution of the microconvection equations. The investigation of the exact solution allows one to find out the extent of influence of the thermal load, gravity and the system geometry on the flow structure. Stability of the solution is investigated in the framework of the linear theory. The spectrum of the spatial characteristic perturbations is analyzed in the space of problem parameters. Typical forms of the hydrodynamic and thermal disturbances are presented and dependence of characteristics of the arising structures on the thermal load and gravity is established. Convective cells, hydrothermal rolls and polygonal structures can appear in the channel. By weak gravity the hydrothermal rolls are not formed. Changing heat flux and disturbance wave length lead to deformation of the cells and complication of the spatial form of the structures. © Published under licence by IOP Publishing Ltd.

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Держатели документа:
Institute of Computational Modeling, SB, RAS, 50/44 Krasnoyarsk, Akademgorodok, Russian Federation
Institute of Mathematics and Computer Sciences, Siberian Federal University, Svobodny, 79, Krasnoyarsk, Russian Federation

Доп.точки доступа:
Bekezhanova, V. B.; Shefer, I. A.

    Analysis of the characteristic perturbations spectrum of the exact invariant solution of the microconvection equations
/ V. B. Bekezhanova // Int. J. Heat Mass Transf. - 2018. - Vol. 118. - P570-586, DOI 10.1016/j.ijheatmasstransfer.2017.11.021 . - ISSN 0017-9310
Аннотация: The properties of an exact invariant solution of the equations of microconvection of isothermally incompressible liquids have been investigated. The solution describes a stationary fluid flow in a vertical channel. The temperature or heat flux can be given at the solid boundaries of the channel. A classification of the solutions and their physical interpretation are suggested. In accordance with the classification the solutions describe different types of flows. The solution of the stability problem of all classes of flows in the vertical channel with the given temperature on the walls is presented. The structure of the spectrum of small non-stationary spatial perturbations for the model medium (silicon dioxide melt) has been studied, depending on the configuration of the perturbation wave, thickness channel, thermal and gravitational effects. The formation regularities of different types of the thermal and hydrodynamic disturbances have been determined. The interaction of the thermal and hydrodynamic perturbations leads to the formation of various convective structures. Typical patterns of the velocity and temperature perturbations and relations of critical characteristics of the instability are presented, depending on the problem parameters. The most dangerous mechanisms change from hydrodynamic to thermal ones with the variation of the viscous and thermal liquid properties. © 2017 Elsevier Ltd

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Держатели документа:
Institute of Computational Modeling SB RAS, Akademgorodok 50/44, Krasnoyarsk, Russian Federation
Siberian Federal University, Svobodny pr. 79, Krasnoyarsk, Russian Federation

Доп.точки доступа:
Bekezhanova, V. B.