HEAT AND MASS TRANSFER IN THE HEATED FROM BELOW FREE CYLINDRICAL ELEMENTARY CONVECTION CELL WITH A CONICAL CAVITY BOTTOM

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DOI https://doi.org/10.15407/pmach2016.02.019
Journal Journal of Mechanical Engineering – Problemy Mashynobuduvannia
Publisher A. Podgorny Institute for Mechanical Engineering Problems
National Academy of Science of Ukraine
ISSN 0131-2928 (Print), 2411-0779 (Online)
Issue Vol. 19, no. 2, 2016 (June)
Pages 19-24
Cited by J. of Mech. Eng., 2016, vol. 19, no. 2, pp. 19-24

 

Authors

L. S. Bozbey, A. Podgorny Institute of Mechanical Engineering Problems of NASU (2/10, Pozharsky St., Kharkiv, 61046, Ukraine), National Science Center Kharkov Institute of Physics and Technology (1, Akademicheskaya St., Kharkov, 61108, Ukraine), e-mail: bozbiei@kipt.kharkov.ua

A. O. Kostikov, A. Podgorny Institute of Mechanical Engineering Problems of NASU (2/10, Pozharsky St., Kharkiv, 61046, Ukraine), V. N. Karazin Kharkiv National University (4, Svobody Sq., Kharkiv, 61022, Ukraine), e-mail: kostikov@ipmach.kharkov.ua, ORCID: 0000-0001-6076-1942

V. I. Tkachenko, National Science Center Kharkov Institute of Physics and Technology (1, Akademicheskaya St., Kharkov, 61108, Ukraine),  V. N. Karazin Kharkiv National University (4, Svobody Sq., Kharkiv, 61022, Ukraine), ORCID: 0000-0002-1108-5842

 

Abstract

This paper considers the problem of thermal convection of a viscous incompressible fluid in a cylindrical elementary convection cell with a conical cavity bottom and free boundary conditions. The Stokes functions are constructed in a cylindrical free convection cell with flat boundaries, as well as in the conical cavity bottom of the cell. Based on the Fujiwara effect, the model distributions of Stokes current lines and disturbed temperature in a cylindrical elementary convection cell with a conical cavity bottom and free boundary conditions are obtained.

 

Keywords: elementary convection cell, free boundaries, convective processes, heat transfer, temperature gradient

 

References

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Received 01 April 2016

Published 30 June 2016