Voir la notice de l'article provenant de la source Math-Net.Ru
@article{MM_2020_32_7_a0, author = {A. M. Blokhin and R. E. Semenko}, title = {Stationary {\textquotedblleft}von {Karman{\textquotedblright}} vortex structures in the magnetohydrodynamical flows of rotating incompressible polymeric liquid}, journal = {Matemati\v{c}eskoe modelirovanie}, pages = {3--23}, publisher = {mathdoc}, volume = {32}, number = {7}, year = {2020}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MM_2020_32_7_a0/} }
TY - JOUR AU - A. M. Blokhin AU - R. E. Semenko TI - Stationary “von Karman” vortex structures in the magnetohydrodynamical flows of rotating incompressible polymeric liquid JO - Matematičeskoe modelirovanie PY - 2020 SP - 3 EP - 23 VL - 32 IS - 7 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MM_2020_32_7_a0/ LA - ru ID - MM_2020_32_7_a0 ER -
%0 Journal Article %A A. M. Blokhin %A R. E. Semenko %T Stationary “von Karman” vortex structures in the magnetohydrodynamical flows of rotating incompressible polymeric liquid %J Matematičeskoe modelirovanie %D 2020 %P 3-23 %V 32 %N 7 %I mathdoc %U http://geodesic.mathdoc.fr/item/MM_2020_32_7_a0/ %G ru %F MM_2020_32_7_a0
A. M. Blokhin; R. E. Semenko. Stationary “von Karman” vortex structures in the magnetohydrodynamical flows of rotating incompressible polymeric liquid. Matematičeskoe modelirovanie, Tome 32 (2020) no. 7, pp. 3-23. http://geodesic.mathdoc.fr/item/MM_2020_32_7_a0/
[1] R. Ellahi, “The effects of MHD and temperature dependent viscosity on the flow of non-Newtonian nanofluid in a pipe: Analytical solutions”, Appl. Math. Model., 37:3 (2013), 1451–1467 | DOI | MR | Zbl
[2] Z. Khan, M. A. Khan, N. Siddiqui et al., “Solution of magnetohydrodynamic flow and heat transfer of radiative viscoelastic fluid with temperature dependent viscosity in wire coating analysis”, PLOS One, 13:3 (2018), 1–16 | MR
[3] T. Gul, S. Islam, R. A. Shah et al, “Unsteady MHD thin film flow of an Oldroyd-B fluid over an oscillating inclined belt”, PLOS One, 10:7 (2015), 1–18 | MR
[4] L. Lie, L. Zhang, “Axial MHD flow of generalized Oldroyd-B fluid due to two oscillating cylinders”, Adv. mat. res., 354:1 (2012), 83–86
[5] I. Khan, K. Fakhar, M. I. Anwar, “Hydro-magnetic Rotating Flows of an Oldroyd-B Fluid in a Porous Medium”, Sp. Top. and Rev. in Por. Med., 3:1 (2012), 89–95
[6] A. M. Blokhin, R. E. Semenko, “Stationary magnetohydrodynamical flows of non-isothermal polymeric liquid in the flat channel”, Bullet. of the South Ural State Univ., Ser: Math. Model., Program. and Comput. Softw., 11:4, 41–54 | MR | Zbl
[7] Iu. A. Altukhov, A. S. Gusev, G. V. Pyshnograi, Vvedenie v mezoskopicheskuiu teoriiu tekuchikh polimernykh sistem, AltGPA, Barnaul, 2012, 122 pp.
[8] T. von Karman, “Über laminare und turbulente Reibung”, ZAMM, 1:4 (1921), 233–252 | Zbl
[9] H. Greenspan, The theory of rotating fluids, Cambr. Univ. Press, Cambridge, 1968, 327 pp. | MR | Zbl
[10] K. Stewartson, “On the flow between two rotating coaxial discs”, Proc. Cambridge Phil. Soc., 49:2 (1953), 333–341 | DOI | MR | Zbl
[11] S. V. Kostrykin, A. A. Khapaev, I. G. Yakushkin, “Vortex patterns in quasi-two-dimensional flows of a viscous rotating fluid”, J. Exp. Theor. Phys., 112:2 (2011), 344–354
[12] S. V. Kostrykin, “Steady flow regimes in the problem of intense wind-driven circulation in a thin layer of viscous rotating fluid”, J. Exp. Theor. Phys., 127:1 (2018), 167–177
[13] A. B. Vatazhin, G. A. Liubimov, S. A. Regiger, Magnitogidrodinamicheskie techeniia v kanalakh, Nauka, M., 1970, 674 pp.
[14] C. Nordling, J. Osterman, Physics handbook for science and engineering, Prof. Publ. House, 2006, 503 pp.
[15] S. G. Kalashnikov, Elektrichestvo, Fizmatlit, M., 2003, 624 pp.
[16] R. Bird, R. Armstrong, O. Hassager, Dynamics of polymeric liquids, Wiley, York, 1987, 649 pp. | MR
[17] M. Doi, S. Edwards, The theory of polymer dynamics, Clarendon press, Oxford, 1986, 391 pp.
[18] N. V. Bambaeva, A. M. Blokhin, “Stationary solutions of equations of incompressible viscoelastic polymer liquid”, Comp. Math. and Math. Phys., 54:5 (2014), 874–899 | MR | Zbl
[19] A. M. Blokhin, A. S. Rudometova, “Stationary flows of a weakly conducting in-compressible polymeric liquid between coaxial cylinders”, J. of Appl. and Industr. Math., 11:4 (2017), 486–493 | DOI | MR | Zbl
[20] A. M. Blokhin, R. E. Semenko, “Vortex motion of an incompressible polymer liquid in the cylindrical near-axial zone”, Fluid dyn., 53:2 (2018), 177–188 | MR | Zbl
[21] L.I. Sedov, A course in continuum mechanics, v. 1, Wolters-Noordhoff Publ., Groningen, 1972, 309 pp.
[22] L. G. Loitsianskii, Mekhanika zhidkosti i gaza, Nauka, M., 1978, 677 pp.
[23] Shih-i Pai, Introduction to the theory of compressible flow, D. Van Nostrand Co., Princeton, 1959, 385 pp. | MR | Zbl
[24] A. M. Blokhin, R. E. Semenko, “Stationary electrohydrodynamic flows of incomp-ressible polymeric media with strong discontinuity”, J. of Math. Sci., 231:2 (2018), 143–152 | DOI | MR | Zbl