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Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2015, Volume 25, Issue 1, Pages 101–106 (Mi vuu469)  

MECHANICS

Wave diffraction on the surface of viscous liquid flowing around a circular cylinder

N. N. Butakova, E. M. Sycheva

Department of Mathematical Modeling, Tyumen State University, ul. Semakova, 10, Tyumen, 625003, Russia

Abstract: 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.

Keywords: diffraction, viscosity, wave motion of liquid.

Full text: PDF file (514 kB)
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UDC: 532.591
MSC: 76D33
Received: 31.01.2015

Citation: N. N. Butakova, E. M. Sycheva, “Wave diffraction on the surface of viscous liquid flowing around a circular cylinder”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 25:1 (2015), 101–106

Citation in format AMSBIB
\Bibitem{ButSyc15}
\by N.~N.~Butakova, E.~M.~Sycheva
\paper Wave diffraction on the surface of viscous liquid flowing around a~circular cylinder
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2015
\vol 25
\issue 1
\pages 101--106
\mathnet{http://mi.mathnet.ru/vuu469}
\elib{http://elibrary.ru/item.asp?id=23142057}


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  • Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
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