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Zh. Vychisl. Mat. Mat. Fiz., 2010, Volume 50, Number 9, Pages 1669–1686 (Mi zvmmf4939)  

This article is cited in 6 scientific papers (total in 6 papers)

Simulation of particle dynamics in a viscous fluid near a plane wall

V. E. Baranov, S. I. Martynov

Yugorsk State University, ul. Chekhova 16, Khanty-Mansiysk, Tyumen oblast, 628012 Russia

Abstract: A method was developed (and implemented as a software package) for the numerical simulation of the dynamics of a large number of particles in a viscous flow near a plane wall. The fluid motion is considered in the Stokes approximation with allowance for the hydrodynamic interaction of all the particles. The velocities and trajectories of the particles are computed, and fluid streamlines are constructed. In the case of even two particles falling onto the wall, it is found that a complex vortex flow is formed between them. This gives rise to the particles having a velocity component along the wall. The dynamics of a group of several dozen particles moving parallel and perpendicular to the wall are simulated.

Key words: numerical simulation, viscous fluid, plane wall, particle dynamics, hydrodynamic interaction.

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English version:
Computational Mathematics and Mathematical Physics, 2010, 50:9, 1588–1604

Bibliographic databases:

UDC: 519.634
Received: 20.05.2009

Citation: V. E. Baranov, S. I. Martynov, “Simulation of particle dynamics in a viscous fluid near a plane wall”, Zh. Vychisl. Mat. Mat. Fiz., 50:9 (2010), 1669–1686; Comput. Math. Math. Phys., 50:9 (2010), 1588–1604

Citation in format AMSBIB
\by V.~E.~Baranov, S.~I.~Martynov
\paper Simulation of particle dynamics in a viscous fluid near a plane wall
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2010
\vol 50
\issue 9
\pages 1669--1686
\jour Comput. Math. Math. Phys.
\yr 2010
\vol 50
\issue 9
\pages 1588--1604

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    This publication is cited in the following articles:
    1. S. I. Martynov, L. Yu. Tkach, “Simulation of particle aggregate dynamics in a viscous fluid”, Comput. Math. Math. Phys., 55:2 (2015), 282–290  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    2. Martynov S.I., “Comments on the Paper By Ob Gus'Kov “a Self-Consistent Field Method Applied To the Dynamics of Viscous Suspensions”, Jamm Vol. 77, No. 4, Pp. 401-411, 2013”, Pmm-J. Appl. Math. Mech., 79:1 (2015), 104–105  crossref  mathscinet  isi  scopus
    3. S. I. Martynov, L. Yu. Tkach, “Dynamics of chain particle aggregates in viscous flow”, Comput. Math. Math. Phys., 56:5 (2016), 826–840  mathnet  crossref  crossref  isi  elib
    4. S. I. Martynov, T. V. Pronkina, N. V. Dvoryaninova, T. V. Karyagina, “Dinamika osazhdeniya chastitsy v vyazkoi zhidkosti pri nalichii dvukh ploskikh stenok”, Zhurnal SVMO, 20:3 (2018), 318–326  mathnet  crossref
    5. A. O. Syromyasov, “Modelirovanie vzaimodeistviya raznorazmernykh ob'ektov, pomeschennykh v slabyi elektrolit”, Zhurnal SVMO, 20:4 (2018), 460–472  mathnet  crossref  elib
    6. M. S. Deryabina, S. I. Martynov, “O techenii vyazkoi zhidkosti s zadannym gradientom davleniya cherez periodicheskie struktury”, Zhurnal SVMO, 22:2 (2020), 208–224  mathnet  crossref
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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