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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2018, Volume 59, Issue 3, Pages 36–42
DOI: https://doi.org/10.15372/PMTF20180304
(Mi pmtf571)
 

One-directional thermogravitational movement of viscous fluid in a flat channel with a given flow rate

E. N. Cheremnykhab

a Institute of Computational Modeling, Siberian Branch, Russian Academy of Sciences, Krasnoyarsk, 660036, Russia
b Siberian Federal University, Krasnoyarsk, 660036, Russia
Abstract: This paper touches upon an initial-boundary-value problem that describes the unidirectional thermogravitational motion of fluid in a plane channel in the case of solid immobile upper and lower walls with temperature distribution thereon and in the case of a heat-insulated upper wall. The motion is caused by a joint effect of the longitudinal temperature gradient and given nonstationary flow rate. The initial-boundary-value problem is inverse relative to the pressure gradient along the channel. An exact stationary solution is obtained. A solution of the nonstationary problems in Laplace images is determined, and the results of numerical calculations are presented.
Keywords: Oberbeck–Boussinesq equations, convection, numerical experiments.
Received: 10.03.2017
Revised: 14.06.2017
English version:
Journal of Applied Mechanics and Technical Physics, 2018, Volume 59, Issue 3, Pages 416–421
DOI: https://doi.org/10.1134/S0021894418030045
Bibliographic databases:
Document Type: Article
UDC: 532.61.096
Language: Russian
Citation: E. N. Cheremnykh, “One-directional thermogravitational movement of viscous fluid in a flat channel with a given flow rate”, Prikl. Mekh. Tekh. Fiz., 59:3 (2018), 36–42; J. Appl. Mech. Tech. Phys., 59:3 (2018), 416–421
Citation in format AMSBIB
\Bibitem{Che18}
\by E.~N.~Cheremnykh
\paper One-directional thermogravitational movement of viscous fluid in a flat channel with a given flow rate
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2018
\vol 59
\issue 3
\pages 36--42
\mathnet{http://mi.mathnet.ru/pmtf571}
\crossref{https://doi.org/10.15372/PMTF20180304}
\elib{https://elibrary.ru/item.asp?id=35076569}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2018
\vol 59
\issue 3
\pages 416--421
\crossref{https://doi.org/10.1134/S0021894418030045}
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