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International Journal of Fluid Mechanics Research

ISSN Print: 1064-2277
ISSN Online: 2152-5102

International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v26.i5-6.180
pages 799-812

The Plane Asymmetric Problem of Impact of a Solid Obtuse Wedge on the Surface of a Compressible Fluid

V. V. Gavrilenko
Ukrainian Transport University, Kyiv


The plane problem of vertical impact of a solid obtuse wedge, with sides having different inclinations to the surface of a compressible fluid, onto this surface, is analyzed. The solution of the mixed boundary-value problem is reduced to solving an infinite set of linear integral Volterra equations of the second kind for the coefficients of the expansion of the hydrodynamic pressure into a Fourier series by employing methods of integral Laplace transformations in time, separation of variables an expansion into cosine and sine Fourier series. A numerical example of the time dependence of the fluid force, moment of reaction, angle of symmetry and Mach numbers of the sides of submerging wedges of different mass at different deadrise angles is presented.