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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1990, Volume 30, Number 6, Pages 951–955
(Mi zvmmf3255)
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This article is cited in 1 scientific paper (total in 2 paper)
Scientific communications
Viscous liquid flows that are independent of the Reynolds number
Yu. D. Shmyglevskii Moscow
Abstract:
All solutions of the Navier–Stokes equations for stationary plane viscous fluid flow that are independent of the Reynolds number are investigated. All solutions with variable vorticity are given explicitly. Constant vorticity solutions are known to include an arbitrary harmonic function. Examples of analytic solutions of the latter type which satisfy adhesion conditions on a quadratic parabola and an ellipse are given.
Received: 24.11.1989
Citation:
Yu. D. Shmyglevskii, “Viscous liquid flows that are independent of the Reynolds number”, Zh. Vychisl. Mat. Mat. Fiz., 30:6 (1990), 951–955; U.S.S.R. Comput. Math. Math. Phys., 30:3 (1990), 220–223
Linking options:
https://www.mathnet.ru/eng/zvmmf3255 https://www.mathnet.ru/eng/zvmmf/v30/i6/p951
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