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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2006, Volume 47, Issue 3, Pages 43–48
(Mi pmtf2147)
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Theory of steady waves in horizontal flow with a linear velocity profile
A. A. Zaitseva, A. I. Rudenkob a Atlantic Department of Shirshov Institute of Oceanology, Russian Academy of Sciences, Kaliningrad, 236000
b Kaliningrad State Technical University, Kaliningrad, 236000
Abstract:
The structure and characteristics of nonlinear steady waves on the surface of horizontal shear flow of an ideal homogeneous incompressible fluid of finite depth with a linear velocity profile are studied using two-dimensional theory and the Euler approach. The wave motion is considered irrotational. A modification of the first Stokes method is proposed that allows algebraic calculations of terms of perturbation series. Nonlinear dispersion relations are obtained and analyzed for both upstream and downstream traveling waves.
Keywords:
steady nonlinear waves, ideal fluid, shear flow, first Stokes method, nonlinear dispersion relations.
Received: 27.07.2004 Accepted: 20.07.2005
Citation:
A. A. Zaitsev, A. I. Rudenko, “Theory of steady waves in horizontal flow with a linear velocity profile”, Prikl. Mekh. Tekh. Fiz., 47:3 (2006), 43–48; J. Appl. Mech. Tech. Phys., 47:3 (2006), 340–345
Linking options:
https://www.mathnet.ru/eng/pmtf2147 https://www.mathnet.ru/eng/pmtf/v47/i3/p43
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