Comptes Rendus
no. 9
On the influence of a magnetic field on the separation of the boundary layer of a non-Newtonian MHD medium
Regina R. Bulatova1; Gregory A. Chechkin1; Tatiana P. Chechkina2; Vyacheslav N. Samokhin3
1 M.V. Lomonosov Moscow State University, Moscow 119991, Russia
2 National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), Moscow 115409, Russia
3 Moscow Polytechnical University, Pryanishnikova ul., 2A, Moscow 127550, Russia
Comptes Rendus. Mécanique, Volume 346 (2018) no. 9, pp. 807-814.

We study the behavior of a magnetohydrodynamic (MHD) stationary boundary layer in a framework modified according to O.A. Ladyzhenskaya. We estimate the shift of a separation point under the influence of a magnetic field.

Nous étudions le comportement d'une couche limite stationnaire magnétohydrodynamique (MHD) dans le cadre modifié par O.A. Ladyzhenskaya. Nous estimons le déplacement du point de séparation sous l'influence d'un champ magnétique.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crme.2018.06.010
Keywords: Magnetohydrodynamics, Boundary layer of a fluid, Separation point, O.A. Ladyzhenskaya fluid
Mot clés : Magnétohydrodynamique, Couche limite d'un fluide, Point de séparation, O.A. Ladyzhenskaya fluide

Regina R. Bulatova 1; Gregory A. Chechkin 1; Tatiana P. Chechkina 2; Vyacheslav N. Samokhin 3

1 M.V. Lomonosov Moscow State University, Moscow 119991, Russia
2 National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), Moscow 115409, Russia
3 Moscow Polytechnical University, Pryanishnikova ul., 2A, Moscow 127550, Russia 
@article{CRMECA_2018__346_9_807_0,
     author = {Regina R. Bulatova and Gregory A. Chechkin and Tatiana P. Chechkina and Vyacheslav N. Samokhin},
     title = {On the influence of a magnetic field on the separation of the boundary layer of a {non-Newtonian} {MHD} medium},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {807--814},
     publisher = {Elsevier},
     volume = {346},
     number = {9},
     year = {2018},
     doi = {10.1016/j.crme.2018.06.010},
     language = {en},
}
TY  - JOUR
AU  - Regina R. Bulatova
AU  - Gregory A. Chechkin
AU  - Tatiana P. Chechkina
AU  - Vyacheslav N. Samokhin
TI  - On the influence of a magnetic field on the separation of the boundary layer of a non-Newtonian MHD medium
JO  - Comptes Rendus. Mécanique
PY  - 2018
SP  - 807
EP  - 814
VL  - 346
IS  - 9
PB  - Elsevier
DO  - 10.1016/j.crme.2018.06.010
LA  - en
ID  - CRMECA_2018__346_9_807_0
ER  - 
%0 Journal Article
%A Regina R. Bulatova
%A Gregory A. Chechkin
%A Tatiana P. Chechkina
%A Vyacheslav N. Samokhin
%T On the influence of a magnetic field on the separation of the boundary layer of a non-Newtonian MHD medium
%J Comptes Rendus. Mécanique
%D 2018
%P 807-814
%V 346
%N 9
%I Elsevier
%R 10.1016/j.crme.2018.06.010
%G en
%F CRMECA_2018__346_9_807_0
Regina R. Bulatova; Gregory A. Chechkin; Tatiana P. Chechkina; Vyacheslav N. Samokhin. On the influence of a magnetic field on the separation of the boundary layer of a non-Newtonian MHD medium. Comptes Rendus. Mécanique, Volume 346 (2018) no. 9, pp. 807-814. doi : 10.1016/j.crme.2018.06.010. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2018.06.010/

[1] O.A. Oleinik The Prandtl system of equation in boundary layer theory, Sov. Math. Dokl., Volume 4 (1963), pp. 583-586

[2] O.A. Olejnik On a system of equations in boundary layer theory, USSR Comput. Math. Math. Phys., Volume 3 (1963), pp. 650-673

[3] O.A. Oleinik; V.N. Samokhin Mathematical Models in Boundary Layer Theory, Chapman & Hall, CRC, Boca Raton, FL, USA, 1999

[4] Z.P. Shul'man; B.M. Berkovskii Boundary Layer of Non-Newtonian Fluids, Nauka Tekhnika, Minsk, 1966 (in Russian)

[5] A.Yu. Linkevich; T.S. Ratiu; S.V. Spiridonov; G.A. Chechkin Thin layer of a non-Newtonian fluid flowing on a rough surface and percolating through a perforated obstacle, J. Math. Sci. (N.Y.), Volume 189 (2013) no. 3, pp. 525-535

[6] W.L. Wilkinson Non-Newtonian Fluids, Pergamon Press, London, 1960

[7] M. Reiner Lectures on Theoretical Rheology, North-Holland, Amsterdam, 1960

[8] G.A. Chechkin; T.S. Ratiu; M.S. Romanov; V.N. Samokhin Existence and uniqueness theorems for the full three-dimensional Ericksen–Leslie system, Math. Models Methods Appl. Sci., Volume 27 (2017) no. 5, pp. 807-843

[9] O.A. Ladyzhenskaya The Mathematical Theory of Viscous Incompressible Flow, Gordon and Breach, New York, etc., 1969

[10] O.A. Ladyzhenskaya On modifications of Navier–Stokes equations for large gradients of velocities, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova, Volume 7 (1968), pp. 126-154 (in Russian)

[11] V.N. Samokhin; G.M. Fadeeva; G.A. Chechkin Equations of the boundary layer for a modified Navier–Stokes system, J. Math. Sci. (N.Y.), Volume 179 (2011) no. 4, pp. 557-577

Cited by Sources:

☆ The paper was partially supported by RFBR grant 18-01-00046.

Comments - Policy