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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2020, Volume 60, Number 12, Pages 2098–2121
DOI: https://doi.org/10.31857/S0044466920120170 (Mi zvmmf11174) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Mathematical physics

Analytical solution for the cavitating flow over a wedge. I

V. I. Vlasov, S. L. Skorokhodov

Federal Research Center "Computer Science and Control", Russian Academy of Sciences, Moscow, 119333 Russia
Citations (5)
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DOI: https://doi.org/10.31857/S0044466920120170
Abstract: The solution to the problem of cavitating flow of an ideal fluid over a wedge is represented in explicit form in terms of the Gauss and Appell hypergeometric functions for a number of classical cavity closure models. A numerical implementation of the solution is described in detail. Asymptotic representations of the drag coefficient $\mathbf{C}_x$ and the cavity sizes as the cavitation number tends to zero are obtained.
Key words: theory of ideal fluid jets, cavitating flow over a wedge, explicit analytical solution, Gauss and Appell hypergeometric functions, numerical implementation.
Received: 11.04.2020
Revised: 08.06.2020
Accepted: 04.08.2020
English version:
Computational Mathematics and Mathematical Physics, 2020, Volume 60, Issue 12, Pages 2032–2055
DOI: https://doi.org/10.1134/S0965542520120179
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: V. I. Vlasov, S. L. Skorokhodov, “Analytical solution for the cavitating flow over a wedge. I”, Zh. Vychisl. Mat. Mat. Fiz., 60:12 (2020), 2098–2121; Comput. Math. Math. Phys., 60:12 (2020), 2032–2055
Citation in format AMSBIB
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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