Plane asymmetric problem of a solid blunt wedge impact on compressible liquid surface
type: Item
instance of: scholarly article
zbMATH Open document ID: 1073.76630
author: V. V. Gavrilenko
publication date: 2001-06-25T00:00:00Z
Mathematics Subject Classification ID: 76N99
Mathematics Subject Classification ID: 76L05
zbMATH DE Number: 1609625
zbMATH Keywords: blunt wedge
zbMATH Keywords: impact
zbMATH Keywords: compressible liquid
MaRDI profile type: Publication
title: Plane asymmetric problem of a solid blunt wedge impact on compressible liquid surface
published in: Akustychnyĭ Visnyk
review text: The author investigates a plane problem on a vertical impact of a solid blunt wedge on compressible liquid surface. The wedge faces are located at different angles to the undisturbed liquid surface. The solution of the mixed boundary value problem in terms of the Laplace integral transform with respect to time, separation of variables and decomposition into the cosine and sine Fourier series is reduced to the solution of the infinite system of linear Volterra integral equations of second kind with respect to the coefficient of the hydrodynamic pressure decomposition into the Fourier series. In the numerical example for the wedges of different masses immersing at different deadrise angles presented are the time dependences of the hydrodynamic force, reaction momentum, angle of asymmetry and the Mach numbers for the wedge sides.
description: scientific article; zbMATH DE number 1609625