Loading [MathJax]/jax/output/SVG/config.js
Journal of Siberian Federal University. Mathematics & Physics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


J. Sib. Fed. Univ. Math. Phys.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Journal of Siberian Federal University. Mathematics & Physics, 2016, Volume 9, Issue 4, Pages 404–415
DOI: https://doi.org/10.17516/1997-1397-2016-9-4-404-415 (Mi jsfu499) 		 
This article is cited in 2 scientific papers (total in 2 papers)

2D thermocapillary motion of three fluids in a flat channel

Viktor K. Andreevab, Elena N. Cheremnykhab

a Institute of computational modelling SB RAS, Akademgorodok, 50/44, Krasnoyarsk, 660036
b Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia
Full-text PDF (276 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.17516/1997-1397-2016-9-4-404-415
Abstract: Two-dimensional creeping motion of three immiscible, incompressible viscous fluids in a flat channel bounded by fixed solid walls, on which the temperature distribution is known, is investigated. The motion is induced only by the thermalcapillary forces beginning from the state of rest. Unsteady motion is described by finite analytic formulas obtained by Laplace transform in images. The evolution of the velocity fields to the stationary regime for specific liquids is obtained by the numerical inversion of Laplace transformation.
Keywords: thermocapillarity, interface, mathematical modeling, numerical experiments.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00067_а
This research was supported by the Russian Foundation for Basic Research (14-01-00067).
Received: 17.05.2016
Received in revised form: 12.08.2016
Accepted: 15.09.2016
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
Citation: Viktor K. Andreev, Elena N. Cheremnykh, “2D thermocapillary motion of three fluids in a flat channel”, J. Sib. Fed. Univ. Math. Phys., 9:4 (2016), 404–415
Citation in format AMSBIB
\Bibitem{AndLem16}
\by Viktor~K.~Andreev, Elena~N.~Cheremnykh
\paper 2D thermocapillary motion of three fluids in a flat channel
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2016
\vol 9
\issue 4
\pages 404--415
\mathnet{http://mi.mathnet.ru/jsfu499}
\crossref{https://doi.org/10.17516/1997-1397-2016-9-4-404-415}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000412010800001}
Linking options:
  • https://www.mathnet.ru/eng/jsfu499
  • https://www.mathnet.ru/eng/jsfu/v9/i4/p404
    • This publication is cited in the following 2 articles:
    1. L. S. Goruleva, E. Yu. Prosviryakov, “A New Class of Exact Solutions to Magnetohydrodynamics Equations for Describing Convective Flows of Binary Fluids”, Tech. Phys., 68:10 (2023), 292  crossref
    2. Larisa Goruleva, Evgenii Prosviryakov, “A New Class of Exact Solutions for Magnetohydrodynamics Equations to Describe Convective Flows of Binary Liquids”, HFIM, 25:4 (2023)  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"
    Statistics & downloads:
    Abstract page:284
    Full-text PDF :77
    References:58
     
      Contact us:
    math-net2025_04@mi-ras.ru     		 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025