ANALYTICAL SOLUTIONS AND NEUTRAL CURVES OF STATIONARY LINEAR RAYLEIGH PROBLEMS FOR CYLINDRICAL CONVECTIVE CELLS WITH SOLID AND MIXED BOUNDARY CONDITIONS

DOI https://doi.org/10.15407/pmach2017.01.017
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. 20, no. 1, 2017 (March)
Pages 17-22
Cited by J. of Mech. Eng., 2017, vol. 20, no. 1, pp. 17-22

 

Authors

O. L. Andreyeva, 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: andreevaoksana@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),
e-mail: tkachenko@kipt.kharkov.ua, ORCID: 0000-0002-1108-5842

 

Abstract

This paper proposes an analytical solution to the stationary linear Rayleigh problem for a convective cell in a cylindrical geometry with solid boundary conditions. On its basis, analytical expressions for neutral curves in the case of solid and mixed boundary conditions are constructed. It is shown that the neutral curves correspond to the numerical calculations obtained by other authors with a sufficient degree of accuracy.

 

Keywords: Rayleigh stationary linear problem, cylindrical geometry, solid or mixed boundary conditions, analytical solution, neutral curves

 

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Received 09 February 2017

Published 30 March 2017