Analytical solution for the cavitating flow over a wedge. I

DOI10.1134/S0965542520120179zbMath1457.76041OpenAlexW3120472284MaRDI QIDQ828137

V. I. Vlasov, S. L. Skorokhodov

Publication date: 8 January 2021

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542520120179

zbMATH Keywords

analytical solutioncomplex potentialhypergeometric functionasymptotic drag coefficientideal fluid jet

Mathematics Subject Classification ID

Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10) Complex variables methods applied to problems in fluid mechanics (76M40)

Related Items (5)

Analytic continuation of Lauricella's function F_D^(N) for large in modulo variables near hyperplanes {z_j = z_l} ⋮ Formulas for analytic continuation of Horn functions of two variables ⋮ Analytic continuation of Lauricella's function F_D^(N) for variables close to unit near hyperplanes {z_j = z_l} ⋮ Stabilized formulation for phase-transforming flows with special emphasis on cavitation inception ⋮ Analytical solution for the cavitating flow over a wedge. II

Cites Work

• Analytic continuation of the Appell function \(F_1\) and integration of the associated system of equations in the logarithmic case
• The Lauricella hypergeometric function $F_D^{(N)}$, the Riemann–Hilbert problem, and some applications
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