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This article is cited in 7 scientific papers (total in 7 papers)
Mathematical physics
Analytical solution for the cavitating flow over a wedge. II
V. I. Vlasovab, S. L. Skorokhodova a Federal Research Center "Computer Science and Control", Russian Academy of Sciences, 119333, Moscow, Russia
b Lomonosov Moscow State University, Moscow Center for Fundamental and Applied Mathematics, 119991, Moscow, Russia
Abstract:
This work continues previous studies of the authors and provides an analytical solution to the plane problem of symmetric cavitating flow of an ideal fluid over a wedge for Tulin's cavity closure model with a double-spiral vortex. The solution is expressed in terms of the Lauricella hypergeometric function. A numerical implementation of the solution is described in detail, and an asymptotic analysis of the solution is given. The spiral structure of vortices closing the cavity is studied, and the vortex size is estimated. An asymptotic representation of the wake width as $x\to\infty$ is found. Additionally, the asymptotics of the drag coefficient $\mathbf{C}_x$ and the relative sizes of the cavity as the cavitation number $Q$ tends to zero are established.
Key words:
plane theory of ideal fluid jets, cavitating flow over a wedge, Tulin's double-spiral vortex closure model, explicit analytical solution, Lauricella hypergeometric function, numerical implementation, asymptotic analysis of flow.
Received: 11.03.2021 Revised: 18.04.2021 Accepted: 19.05.2021
Citation:
V. I. Vlasov, S. L. Skorokhodov, “Analytical solution for the cavitating flow over a wedge. II”, Zh. Vychisl. Mat. Mat. Fiz., 61:11 (2021), 1873–1893; Comput. Math. Math. Phys., 61:11 (2021), 1834–1854
Linking options:
https://www.mathnet.ru/eng/zvmmf11319 https://www.mathnet.ru/eng/zvmmf/v61/i11/p1873
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