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J. Sib. Fed. Univ. Math. Phys., 2016, Volume 9, Issue 3, Pages 296–306 (Mi jsfu487)  

Numerical investigation of a dependence of the dynamic contact angle on the contact point velocity in a problem of the convective fluid flow

Olga N. Goncharovaa, Alla V. Zakurdaevab

a Altai State University, Lenina, 61, Barnaul, 656049, Russian
b Institute of Thermophysics SB RAS, Lavrentyev, 1, Novosibirsk, 630090, Russian

Abstract: A two-dimensional problem of the fluid flows with a dynamic contact angle is studied in the case of an uniformly moving contact point. Mathematical modeling of the flows is carried out with the help of the Oberbeck–Boussinesq approximation of the Navier–Stokes equations. On the thermocapillary free boundary the kinematic, dynamic conditions and the heat exchange condition of third order are fulfilled. The slip conditions (conditions of proportionality of the tangential stresses to the difference of the tangential velocities of liquid and wall) are prescribed on the solid boundaries of the channel supporting by constant temperature. The dependence of the dynamic contact angle on the contact point velocity is investigated numerically. The results demonstrate the contact angle behavior and the different flow characteristics with respect to the various values of the contact point velocity, friction coefficients, gravity acceleration and an intensity of the thermal boundary regimes.

Keywords: convective flow, free boundary, dynamic contact angle, moving contact point, mathematical model, computational algorithm.

Funding Agency Grant Number
Russian Science Foundation 15-19-20049
Authors gratefully acknowledge support of this work by the Russian Science Foundation (project RSF 15-19-20049).


DOI: https://doi.org/10.17516/1997-1397-2016-9-3-296-306

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UDC: 536.25
Received: 07.12.2015
Received in revised form: 09.02.2016
Accepted: 20.06.2016
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Citation: Olga N. Goncharova, Alla V. Zakurdaeva, “Numerical investigation of a dependence of the dynamic contact angle on the contact point velocity in a problem of the convective fluid flow”, J. Sib. Fed. Univ. Math. Phys., 9:3 (2016), 296–306

Citation in format AMSBIB
\Bibitem{GonZak16}
\by Olga~N.~Goncharova, Alla~V.~Zakurdaeva
\paper Numerical investigation of a dependence of the dynamic contact angle on the contact point velocity in a problem of the convective fluid flow
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2016
\vol 9
\issue 3
\pages 296--306
\mathnet{http://mi.mathnet.ru/jsfu487}
\crossref{https://doi.org/10.17516/1997-1397-2016-9-3-296-306}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000412010000004}


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