Abstract:
The effect of various models of the dynamics of the three-phase contact line on the flow characteristics during filling of a plane channel is investigated. The system of constitutive equations is solved numerically using a technique based on the combined use of the SIMPLE algorithm and the method of invariants. Different methods for calculating the motion of the contact point for slip and no-slip conditions for a dynamic contact angle θ=π, neglecting surface tension on the free boundary are considered. It is shown that in the whole computational domain, except in a small vicinity of the contact point, the kinematic characteristics of the flow and the distributions of the dissipation function and shear stress are slightly dependent on the selected calculation method of the motion of the contact point.
Citation:
E. I. Borzenko, G. R. Shrager, “Effect of the type of boundary conditions on the three-phase contact line on the flow characteristics during filling of the channel”, Prikl. Mekh. Tekh. Fiz., 56:2 (2015), 3–14; J. Appl. Mech. Tech. Phys., 56:2 (2015), 167–176
\Bibitem{BorShr15}
\by E.~I.~Borzenko, G.~R.~Shrager
\paper Effect of the type of boundary conditions on the three-phase contact line on the flow characteristics during filling of the channel
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2015
\vol 56
\issue 2
\pages 3--14
\mathnet{http://mi.mathnet.ru/pmtf959}
\crossref{https://doi.org/10.15372/PMTF20150201}
\elib{https://elibrary.ru/item.asp?id=23592065 }
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2015
\vol 56
\issue 2
\pages 167--176
\crossref{https://doi.org/10.1134/S0021894415020017}
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E. I. Borzenko, G. R. Shrager, “The Structure of a Viscoplastic Fluid Flow during Filling of a Circular Pipe/Plane Channel”, J Appl Mech Tech Phy, 61:7 (2020), 1107
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Evgeny I. Borzenko, Oleg Yu Frolov, Gennady R. Shrager, “Kinematics of the fountain flow during pipe filling with a power‐law fluid”, AIChE Journal, 65:2 (2019), 850
E.I. Borzenko, K.E. Ryltseva, G.R. Shrager, “Free-surface flow of a viscoplastic fluid during the filling of a planar channel”, Journal of Non-Newtonian Fluid Mechanics, 254 (2018), 12
E. I. Borzenko, G. R. Shrager, “Structure of a Viscoplastic Flow During the Mold-Filling Process”, Theor Found Chem Eng, 52:4 (2018), 514
E. I. Borzenko, I. A. Ryl'tsev, G. R. Shrager, “Kinematics of Bulkley–Herschel fluid flow with a free surface during the filling of a channel”, Fluid Dyn, 52:5 (2017), 646
E Borzenko, I Ryltsev, O Frolov, G Shrager, “Nonisothermal filling of a planar channel with a power-law fluid”, J. Phys.: Conf. Ser., 899 (2017), 022001
E Borzenko, K Ryltseva, O Frolov, G Shrager, “Mathematical simulation of nonisothermal filling of plane channel with non-Newtonian fluid”, J. Phys.: Conf. Ser., 754 (2016), 022002
E. I. Borzenko, O. Yu. Frolov, G. R. Shrager, “Influence of the Viscous Dissipation of a Liquid Filling a Tube on the Deformation and Orientation of Liquid Elements”, J Eng Phys Thermophy, 89:4 (2016), 911
E. I. Borzenko, G. R. Shrager, “Flow of a Non-Newtonian Liquid with a Free Surface”, J Eng Phys Thermophy, 89:4 (2016), 902
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