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Journal of Siberian Federal University. Mathematics & Physics, 2019, Volume 12, Issue 5, Pages 590–597
DOI: https://doi.org/10.17516/1997-1397-2019-12-5-590-597
(Mi jsfu799)
 

This article is cited in 5 scientific papers (total in 5 papers)

Construction and analysis of exact solution of Oberbeck–Boussinesque equations

Irina V. Stepanovaab

a Institute of Computational Modelling, SB RAS, Akademgorodok, 50/44, Krasnoyarsk, 660036, Russia
b Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia
Full-text PDF (203 kB) Citations (5)
References:
Abstract: A unidirectional stationary binary mixture motion in a horizontal channel is under study. New exact solution of the Oberbeck–Boussinesque equations is constructed for description of the mentioned flow. The obtained solution is applied for investigation of the separation process in mixture of water and isopropanol located between two differently heated rigid walls.
Keywords: Oberbeck–Boussinesque equations, exact solution, binary mixture flow.
Funding agency Grant number
Russian Foundation for Basic Research 18-41-242005
The work is supported by the Russian Foundation for Basic Research and the government of Krasnoyarsk region (project No. 18-41-242005).
Received: 02.04.2019
Received in revised form: 03.06.2019
Accepted: 20.08.2019
Bibliographic databases:
Document Type: Article
UDC: 532.5
Language: English
Citation: Irina V. Stepanova, “Construction and analysis of exact solution of Oberbeck–Boussinesque equations”, J. Sib. Fed. Univ. Math. Phys., 12:5 (2019), 590–597
Citation in format AMSBIB
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\by Irina~V.~Stepanova
\paper Construction and analysis of exact solution of Oberbeck--Boussinesque equations
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2019
\vol 12
\issue 5
\pages 590--597
\mathnet{http://mi.mathnet.ru/jsfu799}
\crossref{https://doi.org/10.17516/1997-1397-2019-12-5-590-597}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000501589200007}
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  • https://www.mathnet.ru/eng/jsfu799
  • https://www.mathnet.ru/eng/jsfu/v12/i5/p590
  • This publication is cited in the following 5 articles:
    1. Bekezhanova V.B. Stepanova I., “Evaporation Convection in Two-Layers Binary Mixtures: Equations, Structure of Solution, Study of Gravity and Thermal Diffusion Effects on the Motion”, Appl. Math. Comput., 414 (2022), 126424  crossref  mathscinet  zmath  isi  scopus
    2. Ekaterina V. Laskovets, “MATHEMATICAL MODELING OF THREE-LAYER FLOWS IN THE “LIQUID-LIQUID-GAS” SYSTEM WITH EVAPORATION BASED ON EXACT SOLUTIONS”, Interfac Phenom Heat Transfer, 10:3 (2022), 45  crossref
    3. N. V. Burmasheva, E. A. Larina, E. Yu. Prosviryakov, “Techenie tipa Kuetta s uchetom idealnogo skolzheniya na kontakte s tverdoi poverkhnostyu”, Vestn. Tomsk. gos. un-ta. Matem. i mekh., 2021, no. 74, 79–94  mathnet  crossref
    4. I. Phenomena, “On influence of geometrical parameters and flow rate on mass transfer through interface of two binary mixtures”, Interfacial Phenom. Heat Transf., 8:4 (2020), 273–290  crossref  isi
    5. Viktor K. Andreev, Irina V. Stepanova, “Non-stationary Unidirectional Motion of Binary Mixture in Long Flat Layer”, Int. J. Appl. Comput. Math, 6:6 (2020)  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал Сибирского федерального университета. Серия "Математика и физика"
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