Geodesic
Dynamics of chain particle aggregates in viscous flow
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 5, pp. 840-855 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The dynamics of aggregates consisting of chains of particles and their union in the form of a two-dimensional network in viscous flow is numerically simulated. It is assumed that the particles in a chain can move relative to each other so that the distance between two neighboring ones remains unchanged. The hydrodynamic interaction forces between all particles in an aggregate are taken into account. The deposition of particle chains and their dynamics in a linear flow are considered in the case an unbounded fluid volume and near a flat wall. The interaction forces between the particles necessary for retaining them in a chain are calculated, and places of the most probable breakage in the chain are determined. 
@article{ZVMMF_2016_56_5_a9,
     author = {S. I. Martynov and L. Yu. Tkach},
     title = {Dynamics of chain particle aggregates in viscous flow},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {840--855},
     year = {2016},
     volume = {56},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_5_a9/}
}
TY  - JOUR
AU  - S. I. Martynov
AU  - L. Yu. Tkach
TI  - Dynamics of chain particle aggregates in viscous flow
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2016
SP  - 840
EP  - 855
VL  - 56
IS  - 5
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_5_a9/
LA  - ru
ID  - ZVMMF_2016_56_5_a9
ER  - 
%0 Journal Article
%A S. I. Martynov
%A L. Yu. Tkach
%T Dynamics of chain particle aggregates in viscous flow
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2016
%P 840-855
%V 56
%N 5
%U http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_5_a9/
%G ru
%F ZVMMF_2016_56_5_a9
S. I. Martynov; L. Yu. Tkach. Dynamics of chain particle aggregates in viscous flow. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 5, pp. 840-855. http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_5_a9/

[1] Efremov I. F., Periodicheskie kolloidnye struktury, Khimiya, L., 1971

[2] Pusey P. N., van Megen W., Underwood S. M., Bartlett P., Ottewill R. H., “Colloidal fluids, crystals and glasses”, J. Physics: Condensed Matter, 1990, no. 2, SA373–SA377

[3] Hayes Ch. F., “Observation of association in ferromagnetic colloid”, J. Colloid. Interface Sci., 52:2 (1975), 239–242 | DOI

[4] Krueger D. A., “Review of agglomeration in ferrofluids”, IEEE Trans. Mag., 16:2 (1980), 251–253 | DOI | MR

[5] Martynov S. I., “Agregirovanie chastits i vyazkost suspenzii”, Inzh.-fiz. zh., 71:4 (1998), 691–697

[6] Lin C. J., Lee K. J., Sather N. F., “Slow motion of two spheres in a shear field”, J. Fluid. Mech., 43 (1970), 35–47 | DOI | Zbl

[7] Wakiya S., “Slow motion in shear flow of a doublet of two spheres in contact”, J. Phys. Soc. of Japan, 31:5 (1971), 1581–1587 | DOI

[8] Ivanov A. O., Kantorovich S. S., “Formation of chains in magnetic fluids: an influence of polydispersity”, J. Magn. Magn. Mater., 252 (2002), 244–246 | DOI

[9] Flori P., Statisticheskaya mekhanika tsepnykh molekul, Mir, M., 1971

[10] Allen Michael P., “Introduction to molecular dynamics simulation”, Computational Soft Matter: From Synthetic Polymers to Proteins, Lecture Notes, NIC Series, 23, eds. N. Attig, K. Binder, H. Grumbüller, K. Kremet, John von Neumann Institute for Computing, Julich, 2002, 1–28

[11] Martynov S. I., Tkach L. Yu., “Modelirovanie dinamiki agregatov chastits v vyazkoi zhidkosti”, Zh. vychisl. matem. i matem. fiz., 55:2 (2015), 285–294 | DOI | MR

[12] Martynov S. I., “Gidrodinamicheskoe vzaimodeistvie chastits”, Izv. RAN. Mekhan. zhidk. i gaza, 1998, no. 2, 112–119

[13] Martynov S. I., “Vzaimodeistvie chastits v techenii s parabolicheskim profilem skorosti”, Izv. RAN. Mekhan. zhidk. i gaza, 2000, no. 1, 84–91 | MR

[14] Baranov V. E., Martynov S. I., “Vliyanie gidrodinamicheskogo vzaimodeistviya na skorost osazhdeniya bolshogo chisla chastits v vyazkoi zhidkosti”, Izv. RAN. Mekhan. zhidk. i gaza, 2004, no. 1, 152–164

[15] Baranov V. E., Martynov S. I., “Modelirovanie dinamiki chastits v vyazkoi zhidkosti pri nalichii ploskoi stenki”, Zh. vychisl. matem. i matem. fiz., 50:9 (2010), 1669–1686 | MR | Zbl

[16] Lentink D., Muijres F. T., Donker-Duyvis F. J., van Leeuwen J. L., “Vortex-wake interactions of a flapping foil that models animal swimming and flight”, J. Exp. Biol., 211 (2008), 267–273 | DOI