STATE FUNCTION IN UNSTABLE CONVECTIVE MEDIUM

Convection in a thin layer of liquid (gas) with temperature independent viscosity between poorly heat conducting boundaries is studied within framework of the Proctor-Sivashinsky model. We have shown by numerical simulation of the Proctor-Sivashinsky model that the state with certain topology can be...

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Main Authors: I. V. Gushchin, A. V. Kirichok, V. M. Kuklin
Format: Article
Language:English
Published: V.N. Karazin Kharkiv National University Publishing 2015-06-01
Series:East European Journal of Physics
Online Access:https://periodicals.karazin.ua/eejp/article/view/2811
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spelling doaj-8587edb245094463bebbb3171e75ccb22020-11-24T23:06:25ZengV.N. Karazin Kharkiv National University PublishingEast European Journal of Physics2312-43342312-45392015-06-012132352811STATE FUNCTION IN UNSTABLE CONVECTIVE MEDIUMI. V. Gushchin0A. V. Kirichok1V. M. Kuklin2Kharkov National University, Institute for High Technologies, 4 Svobody Sq., Kharkov 61022, UkraineKharkov National University, Institute for High Technologies, 4 Svobody Sq., Kharkov 61022, UkraineKharkov National University, Institute for High Technologies, 4 Svobody Sq., Kharkov 61022, UkraineConvection in a thin layer of liquid (gas) with temperature independent viscosity between poorly heat conducting boundaries is studied within framework of the Proctor-Sivashinsky model. We have shown by numerical simulation of the Proctor-Sivashinsky model that the state with certain topology can be described by the state function, which is the sum of squared mode of temperature spatial spectrum on the surface. The transitions between these states are characterized by splashes in time-derivative of this function and different meta-stable structures, corresponding to different values of the state function have different visually distinguishable topologies.https://periodicals.karazin.ua/eejp/article/view/2811
collection DOAJ
language English
format Article
sources DOAJ
author I. V. Gushchin
A. V. Kirichok
V. M. Kuklin
spellingShingle I. V. Gushchin
A. V. Kirichok
V. M. Kuklin
STATE FUNCTION IN UNSTABLE CONVECTIVE MEDIUM
East European Journal of Physics
author_facet I. V. Gushchin
A. V. Kirichok
V. M. Kuklin
author_sort I. V. Gushchin
title STATE FUNCTION IN UNSTABLE CONVECTIVE MEDIUM
title_short STATE FUNCTION IN UNSTABLE CONVECTIVE MEDIUM
title_full STATE FUNCTION IN UNSTABLE CONVECTIVE MEDIUM
title_fullStr STATE FUNCTION IN UNSTABLE CONVECTIVE MEDIUM
title_full_unstemmed STATE FUNCTION IN UNSTABLE CONVECTIVE MEDIUM
title_sort state function in unstable convective medium
publisher V.N. Karazin Kharkiv National University Publishing
series East European Journal of Physics
issn 2312-4334
2312-4539
publishDate 2015-06-01
description Convection in a thin layer of liquid (gas) with temperature independent viscosity between poorly heat conducting boundaries is studied within framework of the Proctor-Sivashinsky model. We have shown by numerical simulation of the Proctor-Sivashinsky model that the state with certain topology can be described by the state function, which is the sum of squared mode of temperature spatial spectrum on the surface. The transitions between these states are characterized by splashes in time-derivative of this function and different meta-stable structures, corresponding to different values of the state function have different visually distinguishable topologies.
url https://periodicals.karazin.ua/eejp/article/view/2811
work_keys_str_mv AT ivgushchin statefunctioninunstableconvectivemedium
AT avkirichok statefunctioninunstableconvectivemedium
AT vmkuklin statefunctioninunstableconvectivemedium
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