Geodesic
Wave diffraction on the surface of viscous liquid flowing around a circular cylinder
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 25 (2015) no. 1, pp. 101-106 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The motion of fluid due to the interaction of an incident gravitational wave spreading on the surface of viscous incompressible fluid with a circular cylinder having vertical elements is considered. A nonlinear boundary-value problem is reduced to determining the vertical component of a velocity vector represented by a sum of potential and rotational parts. The problem is solved for the small-amplitude oscillations. The comparison of the velocity field between the ideal and viscous liquids is made.
Mots-clés : diffraction
Keywords: viscosity, wave motion of liquid. 
@article{VUU_2015_25_1_a10,
     author = {N. N. Butakova and E. M. Sycheva},
     title = {Wave diffraction on the surface of viscous liquid flowing around a~circular cylinder},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {101--106},
     year = {2015},
     volume = {25},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2015_25_1_a10/}
}
TY  - JOUR
AU  - N. N. Butakova
AU  - E. M. Sycheva
TI  - Wave diffraction on the surface of viscous liquid flowing around a circular cylinder
JO  - Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
PY  - 2015
SP  - 101
EP  - 106
VL  - 25
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/VUU_2015_25_1_a10/
LA  - ru
ID  - VUU_2015_25_1_a10
ER  - 
%0 Journal Article
%A N. N. Butakova
%A E. M. Sycheva
%T Wave diffraction on the surface of viscous liquid flowing around a circular cylinder
%J Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
%D 2015
%P 101-106
%V 25
%N 1
%U http://geodesic.mathdoc.fr/item/VUU_2015_25_1_a10/
%G ru
%F VUU_2015_25_1_a10
N. N. Butakova; E. M. Sycheva. Wave diffraction on the surface of viscous liquid flowing around a circular cylinder. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 25 (2015) no. 1, pp. 101-106. http://geodesic.mathdoc.fr/item/VUU_2015_25_1_a10/

[1] Haskind M. D., The hydrodynamic theory of rolling ship, Nauka, Moscow, 1973, 328 pp.

[2] Kochin N. E., Kibel' I. A., Roze N. V., Theoretical hydromechanics, v. 2, Fizmatgiz, Moscow, 1963, 728 pp.

[3] Batchelor G. K., An introduction to fluid dynamics, Mir, Moscow, 1973, 793 pp.

[4] Barinov V. A., Basinskii K. Yu., “Modelling of wave movements of the viscous liquid”, Vestn. Tyumen. Gos. Univ., 2009, no. 6, 144–151

[5] Levich V. G., Physicochemical hydrodynamics, Fizmatgiz, Moscow, 1959, 700 pp.

[6] Kochin N. E., Collected works, v. 2, Academy of Sciences of USSR, Moscow, 1949, 305 pp.

[7] Gradshtein I. S., Ryzhik I. M., Tables of integrals, sums, series and products, Fizmatgiz, Moscow, 1963, 1100 pp. | MR