TY - JOUR

T1 - Investigation of behavior of the dynamic contact angle in a problem of convective flows

AU - Goncharova, O. N.

AU - Marchuk, I. V.

AU - Zakurdaeva, A. V.

PY - 2017

Y1 - 2017

N2 - The two-dimensional problem of 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 Boussinesq approximation of the Navier-Stokes equations. On the thermocapillary interface the kinematic, the dynamic conditions and the heat exchange condition of third order are fulfilled. The slip conditions (conditions of proportionality of the tangential stress to the difference of the tangential velocities of liquid and wall) are prescribed on the solid boundaries kept at constant temperature. The dependence of the dynamic contact angle on the contact point velocity is investigated numerically. The presented results demonstrate the differences in the flow characteristics and contact angle behavior with respect to the different contact point velocity, friction coefficients, gravity acceleration and to amplitude of the thermal boundary regimes.

AB - The two-dimensional problem of 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 Boussinesq approximation of the Navier-Stokes equations. On the thermocapillary interface the kinematic, the dynamic conditions and the heat exchange condition of third order are fulfilled. The slip conditions (conditions of proportionality of the tangential stress to the difference of the tangential velocities of liquid and wall) are prescribed on the solid boundaries kept at constant temperature. The dependence of the dynamic contact angle on the contact point velocity is investigated numerically. The presented results demonstrate the differences in the flow characteristics and contact angle behavior with respect to the different contact point velocity, friction coefficients, gravity acceleration and to amplitude of the thermal boundary regimes.

KW - Dynamic contact angle

KW - Moving contact point

KW - Thermocapillary convection

UR - http://www.scopus.com/inward/record.url?scp=85037147184&partnerID=8YFLogxK

U2 - 10.32523/2306-3172-2017-7-4-27-42

DO - 10.32523/2306-3172-2017-7-4-27-42

M3 - Article

AN - SCOPUS:85037147184

VL - 5

SP - 27

EP - 42

JO - Eurasian Journal of Mathematical and Computer Applications

JF - Eurasian Journal of Mathematical and Computer Applications

SN - 2306-6172

IS - 4

ER -