STATE FUNCTION IN UNSTABLE CONVECTIVE MEDIUM

  • I. V. Gushchin Kharkov National University, Institute for High Technologies, 4 Svobody Sq., Kharkov 61022, Ukraine
  • A. V. Kirichok Kharkov National University, Institute for High Technologies, 4 Svobody Sq., Kharkov 61022, Ukraine https://orcid.org/0000-0002-2283-1070
  • V. M. Kuklin Kharkov National University, Institute for High Technologies, 4 Svobody Sq., Kharkov 61022, Ukraine https://orcid.org/0000-0002-0310-1582

Abstract

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.

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Author Biographies

I. V. Gushchin, Kharkov National University, Institute for High Technologies, 4 Svobody Sq., Kharkov 61022, Ukraine
A. V. Kirichok, Kharkov National University, Institute for High Technologies, 4 Svobody Sq., Kharkov 61022, Ukraine

 

 
V. M. Kuklin, Kharkov National University, Institute for High Technologies, 4 Svobody Sq., Kharkov 61022, Ukraine

 

 

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Published
2015-06-13
Cited
0 article
How to Cite
Gushchin, I., Kirichok, A., & Kuklin, V. (2015). STATE FUNCTION IN UNSTABLE CONVECTIVE MEDIUM. East European Journal of Physics, 2(1), 32-35. https://doi.org/10.26565/2312-4334-2015-1-04