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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN 印刷: 2152-5102
ISSN オンライン: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v31.i1.40
20 pages

Vertical Asymmetric Impact of a Parabolic Cylinder against the Surface of Compressible Fluid

V. V. Gavrilenko
Ukrainian Transport University, Kyiv

要約

A plane problem on vertical impact of a rigid parabolic cylinder against the surface of compressible fluid is considered for case when the axis of the cylinder symmetry does not coincide with a normal in the point of its tangency to unperturbed fluid surface. Basing on the methods of Laplace integral transforms with respect to time, separation of variables, theorem about convolution of originals of two functions, expansion into a Fourier series with respect to the complete trigonometric system of functions, the solution of a non-stationary mixed boundary problem of continuum mechanics with beforehand unknown varying boundary is reduced to the solution of the infinite system of the second kind linear integral Volterra equations with respect to coefficients of expansion of hydrodynamic pressure in a Fourier series. In the numerical example for submerging parabolic cylinders with different masses and initial angles of asymmetry the time dependencies are given for hydrodynamic force, moment of response, angle of asymmetry, boundaries of the contact area, and also the distribution of hydrodynamic pressure on a wetted surface of a body.