Microgravity Science and Technology

, Volume 31, Issue 3, pp 269–278 | Cite as

Thermal Vibrational Convection of Water near its Density Inversion Point in a Cylindrical Cavity with Constant Heat Flux at the Boundaries in Low Gravity Conditions

  • D. V. Lyubimov
  • V. A. Sharifulin
  • T. P. LyubimovaEmail author
  • A. N. Sharifulin
Original Article


Equations for thermal vibrational convection in a nonuniformly heated liquid with thermal density inversion subjected to high-frequency small-amplitude vibrations are obtained by averaging method. The problem of thermal vibrational convection in a horizontal cylinder filled with a liquid with quadratic temperature dependence of density is studied analytically on the basis of these equations for arbitrary orientations of temperature gradient, gravity and vibration axis. The heating is carried out in such a way that the point of temperature inversion of density is located at the cylinder axis. It is shown that by changing the direction of vibrations and their intensity, it is possible to control the structure and intensity of average flow.


Thermal convection High frequency vibrations Density inversion Cylindrical cavity 



The investigation has been supported by Ministry of Education and Science of Russian Federation (project 3.6990.2017/8.9).


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Copyright information

© Springer Nature B.V. 2019

Authors and Affiliations

  • D. V. Lyubimov
    • 1
  • V. A. Sharifulin
    • 2
  • T. P. Lyubimova
    • 1
    • 3
    Email author
  • A. N. Sharifulin
    • 2
  1. 1.Perm State UniversityPermRussia
  2. 2.Perm National Research Polytechnic UniversityPermRussia
  3. 3.Institute of Continuous Media Mechanics of the Ural Branch of Russian Academy of SciencesPermRussia

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