Microgravity Science and Technology

, Volume 30, Issue 4, pp 543–560 | Cite as

Influence of Gravity on the Stability of Evaporative Convection Regimes

  • V. B. BekezhanovaEmail author
  • I. A. Shefer
Original Article


The characteristics of convective regimes in a two-layer system have been investigated in the framework of the Boussinesq approximation of the Navier–Stokes equations. An exact invariant solution of the convection equations is used to describe a joint stationary flow of an evaporating liquid and a gas-vapor mixture in a horizontal channel. Thermodiffusion effects in the gas-vapor phase are additionally taken into account in the governing equations and interface conditions. The influence of gravity and thickness of the liquid layer on the hydrodynamical, thermal and concentration characteristics of the regimes has been investigated. Flows of the pure thermocapillary, mixed and Poiseuille’s types are specified for different values of the problem parameters. The linear stability of the evaporative convection regimes has been studied. The types and properties of the arising perturbations have been investigated and the critical characteristics of the stability have been obtained. Disturbances can lead to the formation of deformed convective cells, vortex and thermocapillary structures. The change of the instability types and threshold thermal loads occurs with the increasing thickness of the liquid layer and gravity action.


Evaporative convection Exact solution Characteristic perturbations Stability 


Compliance with Ethical Standards

Conflict of interests

The authors declare that they have no conflict of interest.


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Authors and Affiliations

  1. 1.Department of Differential Equations of MechanicsInstitute of Computational Modelling SB RASKrasnoyarskRussia
  2. 2.Institute of Mathematics and Computer ScienceSiberian Federal UniversityKrasnoyarskRussia

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