Сибирский федеральный университет

Тип публикации: статья из журнала

Год издания: 2018

Идентификатор DOI: 10.1134/S0015462818020039

Аннотация: The problem of small perturbations of the equilibriumstate of a viscous, heat-conducting fluid in a cylindrical container with a deformable free upper boundary, on which heat exchange with the ambient medium is preassigned, is studied. The mathematical modeling of convection is based on Oberbeck-Boussinesq equations. The spectral problem thus obtained is solved using the tau method. As a result, the dependence of the imaginary part of the complex decrement on the Marangoni number is obtained. In the case of monotonic perturbations the neutral curves are plotted as functions of a geometrical parameter, namely, the cylinder height-to-radius ratio. The dependence of the Marangoni number on the physical parameters of the fluid is also obtained.

Журнал: FLUID DYNAMICS

Выпуск журнала: Vol. 53, Is. 2

Номера страниц: 277-284

ISSN журнала: 00154628

Место издания: NEW YORK

Издатель: MAIK NAUKA/INTERPERIODICA/SPRINGER

• Andreev V.K. (Siberian Fed Univ, Inst Math & Fundamental Informat, Svobodny Pr 79, Krasnoyarsk 660091, Russia; Russian Acad Sci, Siberian Branch, Inst Computat Modeling, Krasnoyarsk 660036, Russia)
• Magdenko E.P. (Siberian Fed Univ, Inst Math & Fundamental Informat, Svobodny Pr 79, Krasnoyarsk 660091, Russia; Russian Acad Sci, Siberian Branch, Inst Computat Modeling, Krasnoyarsk 660036, Russia)

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